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Physics-Embedded Neural Networks: Graph Neural ...

horiem
February 17, 2023

Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions

【RICOS×ZOZO】NeurIPS2022論文読み会 https://ml-workshop.connpass.com/event/271425/ 2023 年 2 月 17 日

horiem

February 17, 2023
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  1.  https://vimeo.com/423679038 • طଘͷ਺஋ղੳͱػցֶशΛ༥߹ͤ͞ 
 ଎౓ͱਫ਼౓ͷߴ౓ͳόϥϯεΛ࣮ݱ͍ͨ͠ ઃܭ ੍ޚ • ෺ཧݱ৅ͷಛੑΛ൓өͤ͞Δ͜ͱͰ

    
 ൚༻ੑΛ୲อ͍ͨ͠ ݚڀͷ֓ཁϞνϕʔγϣϯ • ػցֶशΛ༻͍ͯɺ൚༻ੑ͕ߴ͘ߴ଎ɾߴਫ਼౓ͳภඍ෼ํఔࣜιϧόΛ࣮ݱͰ͖ͳ͍͔ʁ • ྲྀମݱ৅ͷ਺஋ղੳʹ͸͕͔͔࣌ؒΓɺ੡඼ઃܭɾ੍ޚͷϘτϧωοΫͱͳΔ͜ͱ͕ଟ͍
  2.  • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR.

    2021]ͷ׆༻ ݚڀͷ֓ཁख๏ • طଘͷ਺஋ղੳͱػցֶशΛ༥߹ͤ͞ 
 ଎౓ͱਫ਼౓ͷߴ౓ͳόϥϯεΛ࣮ݱ͍ͨ͠ • ෺ཧݱ৅ͷಛੑΛ൓өͤ͞Δ͜ͱͰ 
 ൚༻ੑΛ୲อ͍ͨ͠ [Horie et al. ICLR. 2021] Masanobu Horie, Naoki Morita, Toshiaki Hishinuma, Yu Ihara, and Naoto Mitsume. Isometric transformation invariant and equivariant graph convolutional networks. In International Conference on Learning Representations, 2021.
  3.  • ࣌ؒൃలΛӄతʹղ͘ 
 ඇઢܗιϧόͷ׆༻ IUUQTPQUJNBMVWBOMCJOBSJFT@IU@FYUSBMBSHF DPOUFOUHBMMFSZTVCTJUFTPQUJNJ[BUJPOGPSBOEXJUINBDIJOF MFBSOJOHPQUJNBMHSBEJFOUEFTDFOUPQUJNBMKQH ݚڀͷ֓ཁख๏ •

    طଘͷ਺஋ղੳͱػցֶशΛ༥߹ͤ͞ 
 ଎౓ͱਫ਼౓ͷߴ౓ͳόϥϯεΛ࣮ݱ͍ͨ͠ • ෺ཧݱ৅ͷಛੑΛ൓өͤ͞Δ͜ͱͰ 
 ൚༻ੑΛ୲อ͍ͨ͠ [Horie et al. ICLR. 2021] Masanobu Horie, Naoki Morita, Toshiaki Hishinuma, Yu Ihara, and Naoto Mitsume. Isometric transformation invariant and equivariant graph convolutional networks. In International Conference on Learning Representations, 2021. • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻
  4.  • ػցֶशͱ૬ੑͷΑ͍ 
 ڥք৚݅ॲཧख๏ͷ։ൃ • ࣌ؒൃలΛӄతʹղ͘ 
 ඇઢܗιϧόͷ׆༻ IUUQTPQUJNBMVWBOMCJOBSJFT@IU@FYUSBMBSHF

    DPOUFOUHBMMFSZTVCTJUFTPQUJNJ[BUJPOGPSBOEXJUINBDIJOF MFBSOJOHPQUJNBMHSBEJFOUEFTDFOUPQUJNBMKQH ݚڀͷ֓ཁख๏ <latexit sha1_base64="ZaUbh7AbmMfYb58mjjk2qvUCI+4=">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</latexit> @⌦Dirichlet <latexit sha1_base64="oU9NAz0nrblJmj2JMgr00xUOSsA=">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</latexit> @⌦Neumann • طଘͷ਺஋ղੳͱػցֶशΛ༥߹ͤ͞ 
 ଎౓ͱਫ਼౓ͷߴ౓ͳόϥϯεΛ࣮ݱ͍ͨ͠ • ෺ཧݱ৅ͷಛੑΛ൓өͤ͞Δ͜ͱͰ 
 ൚༻ੑΛ୲อ͍ͨ͠ [Horie et al. ICLR. 2021] Masanobu Horie, Naoki Morita, Toshiaki Hishinuma, Yu Ihara, and Naoto Mitsume. Isometric transformation invariant and equivariant graph convolutional networks. In International Conference on Learning Representations, 2021. • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻
  5. • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻

     ྲྀ଎ϊϧϜ ਺஋ղੳ݁Ռ ఏҊख๏ 1IZTJDT&NCFEEFE/FVSBM/FUXPSL 1&//  ਺஋ྲྀମղੳ݁ՌΛ൚༻ੑߴ͘ߴ଎ɾߴਫ਼౓ʹ༧ଌͰ͖Δ 
 ػցֶशϞσϧ͕࣮ݱͨ͠[Horie and Mitsume. NeurIPS. 2022] ݚڀͷ֓ཁ݁Ռͷ·ͱΊ • ػցֶशͱ૬ੑͷΑ͍ 
 ڥք৚݅ॲཧख๏ͷ։ൃ • ࣌ؒൃలΛӄతʹղ͘ 
 ඇઢܗιϧόͷ׆༻ [Horie and Mitsume. NeurIPS. 2022] Masanobu Horie and Naoto Mitsume. Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions. In Advances in Neural Information Processing Systems, 2022. 10°4 10°3 10°2 10°1 100 Total MSE 100 101 102 103 Total time [s] PENN (Ours) MP-PDE MP-PDE (Trans.) OpenFOAM ਺஋ղੳ 0QFO'0". 1&//
  6. ໨࣍  • ਺஋࣮ݧ • ػցֶशͱ૬ੑͷΑ͍ 
 ڥք৚݅ॲཧख๏ͷ։ൃ • ࣌ؒൃలΛӄతʹղ͘

    
 ඇઢܗιϧόͷ׆༻ IUUQTPQUJNBMVWBOMCJOBSJFT@IU@FYUSBMBSHF DPOUFOUHBMMFSZTVCTJUFTPQUJNJ[BUJPOGPSBOEXJUINBDIJOF MFBSOJOHPQUJNBMHSBEJFOUEFTDFOUPQUJNBMKQH <latexit sha1_base64="ZaUbh7AbmMfYb58mjjk2qvUCI+4=">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</latexit> @⌦Dirichlet <latexit 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</latexit> @⌦Neumann • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻
  7. ໨࣍  • ਺஋࣮ݧ IUUQTPQUJNBMVWBOMCJOBSJFT@IU@FYUSBMBSHF DPOUFOUHBMMFSZTVCTJUFTPQUJNJ[BUJPOGPSBOEXJUINBDIJOF MFBSOJOHPQUJNBMHSBEJFOUEFTDFOUPQUJNBMKQH <latexit sha1_base64="ZaUbh7AbmMfYb58mjjk2qvUCI+4=">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</latexit> @⌦Dirichlet

    <latexit 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</latexit> @⌦Neumann • ػցֶशͱ૬ੑͷΑ͍ 
 ڥք৚݅ॲཧख๏ͷ։ൃ • ࣌ؒൃలΛӄతʹղ͘ 
 ඇઢܗιϧόͷ׆༻ • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻
  8. น ྲྀΕ ղੳྖҬ ղੳ݁Ռ ղੳ ղੳ ճసɾฏߦҠಈ - ಉҰͷ෺ཧݱ৅ΛҟͳΔࢹ఺͔Β 


    ؍ଌ͢Δͱ߹ಉม׵ E(n) Λड͚Δ͕ 
 ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ 
 ˠE(n)ಉมੑ • ߹ಉม׵ʹର͢Δରশੑ ෺ཧݱ৅ͷରশੑࢹ఺ͷೖΕସ͑ʹΑΔ੔߹ੑͷ୲อ 
  9. น ྲྀΕ ղੳྖҬ ղੳ݁Ռ ղੳ ղੳ ճసɾฏߦҠಈ <latexit sha1_base64="mvyxVg25FBZi6dfG4Usep0GUHJM=">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</latexit> (

    p 3/2, 1/2) <latexit 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hLgs4eDOX+D6XCwsIH63W7vRe+uf4W/ghL3vsxZy/OFDdjKK6K1oQV6nSeTMkj1A6npfV5igSqDRymeDX5+9Uy/vWP+GGSW2bdQZYH7L83bY8+GkCSsjXsg+lxsYgLEkM/0f48Y75Dqt9h0FWydstb6FdJ8FpmcaYriWMGqcS9zMc5Bu7uP7+ICxnGw1nkFOS/TRD+8n9eDn1/Oe8g8A82t93Hq3vR71ccVmil6GKOFwc/DOJuox27oFIH+Swfc5dNAB8s54FkrgwhEnIksbwp6BQ9rYmuaS708uS4Aw6nYxs++GfxWilGe360te49zTgp9OuflP6PGy8gMAH8PV/XVtxrqc9I2xKt+l0at2Mz8/0SLCxTUhX7DLwE1DEYYZ0l+PyohuPv0/cp69++QFi+uXq2t/+va63evV37abP5G6bulf1z6p6UfltaXfr/009L+0unS5VK4lC3919J/L/3Pm+/erL158+b3tumvf9X0+Ycl7+fNT/8HXoKnjA==</latexit> (1.5, 2.1) <latexit 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</latexit> (1, 1) <latexit sha1_base64="BNxwav/+mswo7KuyGrImjgwDd1c=">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</latexit> (1, 0) - ಉҰͷ෺ཧݱ৅ΛҟͳΔࢹ఺͔Β 
 ؍ଌ͢Δͱ߹ಉม׵ E(n) Λड͚Δ͕ 
 ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ 
 ˠE(n)ಉมੑ • ߹ಉม׵ʹର͢Δରশੑ - ௨ৗͷػցֶशϞσϧʹ͸ 
 E(n)ಉมੑ͕ͳ͍ ෺ཧݱ৅ͷରশੑࢹ఺ͷೖΕସ͑ʹΑΔ੔߹ੑͷ୲อ 
  10.  (Λ܈ɺ9ɺ:Λࠨ(ू߹ͱ͢Δ 8g 2 G, 8x 2 X, f(g ·

    x) = g · f(x) <latexit sha1_base64="lS0k9uBbvw0LpIjQ69EQpu97kAw=">AAAE03icjVNdb9MwFPW2AqN8rINHXq6oKm1SKU01aTwwNIEmeBwS7SY1VeU4TmvVcYLtsFZZeEC88iv4NbzCE/8GO2lpm4I0S4muz/U9596T2Is5U7rd/r21vVO5dfvO7t3qvfsPHu7V9h/1VJRIQrsk4pG89LCinAna1UxzehlLikOP0wtv8sbmLz5RqVgkPuhZTAchHgkWMIK1gYa1EzeIJOYcRuAyAW+bsACmOXDZhODA5IgfaZgewgksNsHB9HBYq7db7XzBZuDMgzqar/Ph/s5n149IElKhCcdK9Z12rAcplpoRTrOqmygaYzLBI9o3ocAhVYM0nzODhkF8MP2ZR2jI0dWKFIdKzULPnAyxHqtyzoL/zHlhSVkHLwYpE3GiqSCFcJBw0BFYE8FnkhLNZybARDLTO5AxlphoY3XVFfSKRGGIhZ+6PguCrN8ZpG5g8qkPdSez706WATQi6TOBpSUKAiqNKwzzdYK4xODG1izMc6LlxvCt1zHxt9CKwnPIVY0oE8/s7wI3EDcWLOWXwoZsVXmFc4H+nzIRTGd9x/CBa7+EDNN+3RnkdtgcXDE9BvUxwZKCZyaeUF3yFOuiIU4D3bLtuJKNxvp6mG7a4FNu/C6BXeOcF6bd8uFegfcM3oC1DC0ydNPlWEbLbl6abprGknlHr8r8WBajzwe3+7zOTZdjuGWNs7WasxtUYE8VNfbk9YpDmbmxTvl+bga9Tss5ah2/P6qfvp7f3V30BD1FB8hBx+gUvUPnqIsI+o5+oJ/oV6VbSStfKl+Lo9tb85rHaG1Vvv0B9vafEA==</latexit> • ؔ਺G9ˠ:͕܈(ͷ࡞༻ʹରͯ͠ಉมʢFRVJWBSJBOUʣͰ͋Δɿ <latexit sha1_base64="5ZYyyFqCOKeG/NzVXEbOAjqJ7pg=">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</latexit> X X Y Y g· f f g· ճసߦྻ͕࡞༻͢Δ 
 ϕΫτϧɾςϯιϧ ճసߦྻ ճసߦྻશମͷ 
 ͳ͢ू߹ ಉมੑ෺ཧݱ৅ͷରশੑΛهड़͢Δ਺ֶ
  11.  (Λ܈ɺ9ɺ:Λࠨ(ू߹ͱ͢Δ 8g 2 G, 8x 2 X, f(g ·

    x) = g · f(x) <latexit sha1_base64="lS0k9uBbvw0LpIjQ69EQpu97kAw=">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</latexit> • ؔ਺G9ˠ:͕܈(ͷ࡞༻ʹରͯ͠ಉมʢFRVJWBSJBOUʣͰ͋Δɿ <latexit sha1_base64="5ZYyyFqCOKeG/NzVXEbOAjqJ7pg=">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</latexit> X X Y Y g· f f g· ճసߦྻ͕࡞༻͢Δ 
 ϕΫτϧɾςϯιϧ ճసߦྻ ճసߦྻશମͷ 
 ͳ͢ू߹ ಉมੑ෺ཧݱ৅ͷରশੑΛهड़͢Δ਺ֶ YΛճస͔ͯ͠ΒGͰ 
 ม׵ͨ͠΋ͷ ͱ YΛGͰม׵͔ͯ͠Β ճసͨ͠΋ͷ ͕౳͍͠
  12.  (Λ܈ɺ9ɺ:Λࠨ(ू߹ͱ͢Δ 8g 2 G, 8x 2 X, f(g ·

    x) = g · f(x) <latexit sha1_base64="lS0k9uBbvw0LpIjQ69EQpu97kAw=">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</latexit> • ؔ਺G9ˠ:͕܈(ͷ࡞༻ʹରͯ͠ಉมʢFRVJWBSJBOUʣͰ͋Δɿ <latexit sha1_base64="5ZYyyFqCOKeG/NzVXEbOAjqJ7pg=">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</latexit> X X Y Y g· f f g· ճసߦྻ͕࡞༻͢Δ 
 ϕΫτϧɾςϯιϧ ճసߦྻ ճసߦྻશମͷ 
 ͳ͢ू߹ ಉมੑ෺ཧݱ৅ͷରশੑΛهड़͢Δ਺ֶ YΛճస͔ͯ͠ΒGͰ 
 ม׵ͨ͠΋ͷ ͱ YΛGͰม׵͔ͯ͠Β ճసͨ͠΋ͷ ͕౳͍͠
  13. YΛճస͔ͯ͠ΒGͰ 
 ม׵ͨ͠΋ͷ ͱ YΛGͰม׵͔ͯ͠Β ճసͨ͠΋ͷ ͕౳͍͠  (Λ܈ɺ9ɺ:Λࠨ(ू߹ͱ͢Δ 8g

    2 G, 8x 2 X, f(g · x) = g · f(x) <latexit sha1_base64="lS0k9uBbvw0LpIjQ69EQpu97kAw=">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</latexit> • ؔ਺G9ˠ:͕܈(ͷ࡞༻ʹରͯ͠ಉมʢFRVJWBSJBOUʣͰ͋Δɿ <latexit sha1_base64="5ZYyyFqCOKeG/NzVXEbOAjqJ7pg=">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</latexit> X X Y Y g· f f g· ճసߦྻ͕࡞༻͢Δ 
 ϕΫτϧɾςϯιϧ ճసߦྻ ճసߦྻશମͷ 
 ͳ͢ू߹ ಉมੑ෺ཧݱ৅ͷରশੑΛهड़͢Δ਺ֶ
  14.  શ݁߹χϡʔϥϧωοτϫʔΫ (// .FTTBHF 
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  16.  (// (SBEJFOU <latexit 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    6QEBUFؔ਺ • *TP($/[Horie et al. 2021]͸NFTTBHFؔ਺ʹ཭ࢄޯ഑ԋࢉࢠΛ༻͍ͯܭࢉͷߴ଎ԽΛ࣮ݱ͍ͯ͠Δ (SBEJFOU <latexit 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r *TP($/೚ҙͷܗঢ়ʹద༻Ͱ͖ΔػցֶशϞσϧ
  17.  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    r .FTTBHF 
 ؔ਺ 6QEBUFؔ਺ • *TP($/[Horie et al. 2021]͸NFTTBHFؔ਺ʹ཭ࢄޯ഑ԋࢉࢠΛ༻͍ͯܭࢉͷߴ଎ԽΛ࣮ݱ͍ͯ͠Δ *TP($/೚ҙͷܗঢ়ʹద༻Ͱ͖ΔػցֶशϞσϧ
  18.  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    r .FTTBHF 
 ؔ਺ 6QEBUFؔ਺ • *TP($/[Horie et al. 2021]͸NFTTBHFؔ਺ʹ཭ࢄޯ഑ԋࢉࢠΛ༻͍ͯܭࢉͷߴ଎ԽΛ࣮ݱ͍ͯ͠Δ • ೖྗͷճసʹରԠͯ͠༧ଌ݁Ռ͕ճస͢ΔͨΊɺςϯιϧͷม׵ଇΛຬͨ͢ ಉมੑ *TP($/೚ҙͷܗঢ়ʹద༻Ͱ͖ΔػցֶशϞσϧ
  19.  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    r .FTTBHF 
 ؔ਺ 6QEBUFؔ਺ • *TP($/[Horie et al. 2021]͸NFTTBHFؔ਺ʹ཭ࢄޯ഑ԋࢉࢠΛ༻͍ͯܭࢉͷߴ଎ԽΛ࣮ݱ͍ͯ͠Δ • ೖྗͷճసʹରԠͯ͠༧ଌ݁Ռ͕ճస͢ΔͨΊɺςϯιϧͷม׵ଇΛຬͨ͢ ಉมੑ ➡ ภඍ෼ํఔࣜΛ൚༻ੑߴ͘ߴ଎ɾߴਫ਼౓ʹऔΓѻ͏͜ͱ͕ՄೳʹͳΔ *TP($/೚ҙͷܗঢ়ʹద༻Ͱ͖ΔػցֶशϞσϧ
  20. ໨࣍  • ਺஋࣮ݧ IUUQTPQUJNBMVWBOMCJOBSJFT@IU@FYUSBMBSHF DPOUFOUHBMMFSZTVCTJUFTPQUJNJ[BUJPOGPSBOEXJUINBDIJOF MFBSOJOHPQUJNBMHSBEJFOUEFTDFOUPQUJNBMKQH <latexit 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</latexit> @⌦Dirichlet

    <latexit 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</latexit> @⌦Neumann • ػցֶशͱ૬ੑͷΑ͍ 
 ڥք৚݅ॲཧख๏ͷ։ൃ • ࣌ؒൃలΛӄతʹղ͘ 
 ඇઢܗιϧόͷ׆༻ • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻
  21. • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻

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</latexit> @⌦Dirichlet <latexit sha1_base64="oU9NAz0nrblJmj2JMgr00xUOSsA=">AAA1nniclVvZctxKcuXMeJmhtzueR79UmFLMtYOiRV1pxg8TjuFOis19ldS6CjSQjYaITahqkFRP+9Ff41f7X/w3zqpCIbPQoK7NCInIc6oStZyszEaDozJNpHr58n9+9vNf/Nmf/8Vf/vJXy3/113/zt3/33a///loW0yqEq7BIi+p2FEhIkxyuVKJSuC0rCLJRCjejuy3N39RQyaTIL9VjCR+zIM6TcRIGCqFP34lhGVQqCVIxPMkgDj4Ns0BNqmx2DNMsyPP5p+9WXq69ND9i8WK9uVhZan5OP/369XgYFeE0g1yFaSDlh/WXpfo407cJU5gvD6cSyiC8C2L4gJd5kIH8ODNTmYvniERiXFT4L1fCoLzHLMikfMxG2FIPVHY5DfZyo8y78+xR+5ed0ajxv36cJXk5VZCHdjDjaSpUIfTaiSipIFTpI14EYZXgfEQ4CaogVLjCnneV3H3176dHpIoi9W85q4PqPolwzB6KeyLvktIH7Qp50EMPpm/9IowQzOE+LDLcxWg2jJLxeP7h1cfZcIzjnUViZX2u/381nwvxvKiiJA8qPbHxGCrcOVSE76DseGh1ox2Rgf78fknedtQ3Ff8izF3xpkn+QqtW/B9ujltCt6cbozN+Z+bToU+7nOaJmn9YR3/CSf7DyvpHsxyaE/eJmgj5ZRpUIEY44ztQ0ncRKDugFMZqTQ9nWCXxRP3p02xxGSJIcb07oJyWpRnDj7PvV9b/qdtHTkeGbWMSl7rT5ArXfpTNrrr4tcWvEX8uPAYsA4v7VFYFzecPOJ9VXNRmTv+24Oc6qOzyNWPTtuk5nNFSDBfvv+P12unv4y/zSNo+uuWf2DrPl5eXn+sfcbxzI442LvfF9s7uwfHB5cHJ8YUw1HLfAbGKv034r+pTAUd4FFR3QmJs45koRTEWYVDaa30SVYAaqpI81gdBlNSJdM3GSTytoCMLBPVI5zNc7Ex8P8Drha3FNiGqEirXastYfe3MXF2zc230tVJF6dpcFmVfi1GhVJG5RpvGWmjXzDtwzYKnWoxci9FTLULXInyqReRaRLoFbsM+zi7VMxSBwPb6oIUxhnMkcG0y3wdea9AoAxU9FiY4tJddsyl21/AYh1WRFvdQvQgxTa4tYySOzbLCeGV9Zjfw34do2ejq647DTVSQroldFINUeLTovZd6x5C3Hnedx92uR0Or+8Ldc+VVc1cpXCOBM2qMV64HHjwRdVn5YeX1QrfVto+7+oG7em2mc2FV/c3lQOXbwTch4K1HjwO3ILb3het90dP73PUySfS+aKNsrV0Ye3dpVqaNwSeWputwUgF0XTJ/Kz8seqRVY75/WPQd5AJwE3TnniWDL3bOrsnTk/b84IEPldB+rJudxs1On5sNUQX3tO4dZy9evAjqIonEVOqjKRmLspAywcLPui7TAEOn8f/06HQFU2Ik9cxRM7Z70+b/PcnG0VbraOsnHeGc8xjMGWzbSuvDwO2IUCqOdq5evHhSJji6II0LrNgmWc88kbOjaxt9c6LM1cJMN5yrjR5XTvDufjiJ1te3D4NLr9PGT3ZaWFRdDzUzZ+rTqB2uvvrWptj+XfWetv1P/f5upu0NcNT6+skBN4KDJNViTfWFTfT6qvE3TouiMrS5sry5bBqsm8pmoUZSFQbC3JYcYZDOtrsN6iBNIt7gU1ufWGq+4BKk6u9gmHk7IyilznGlTNIib/LTObooMoGVfxJgtDp9gwpm2vODyosqQ6/Phgg9m7vlrDp0QMzIZ0bEhD4TEhP5TEQM+AwQM/aZMTGxz8TETHxmQkziMwkxn33mMzF3PnNHTOoz6dzIuMpEIjFi8SNx9KgPO7uDq+LzVCoRFflvldAfQFGOj/rk8TZGZI3v3Ped010LnymIKX2mJOaLz3whpvKZihjpM5IY5TOKmKnPTImpfaYm5t5n7ol58JkHYh595pGYrz7zdW7LPBcAmJmL9nivmyCZ2VAajVnYtONWExslroWxGc84Do8IZrFRhwSzwKgjgllU1EAwC4l6TDCLhzommAVDPSGYRUI9JZiFQf2ZYBYD9R3BLADqlOCUwRnBGYPZQvMVLghmYq5LgpmS6y8EMxnXFcFMw7UkWPJNJVj1rwmXbk0w0219TzATbf1AMFNs/Ugwk2v9lWCn1Z0U9IMs82mv6tEtWNH1nstgldd7MoOVX+/ZDFaDvaczWCH2ns9g1dh7QoOVZO8ZDVaXvac0ck+e02AV2ntSg5Vp71kNVqvd09pxmc9lnHvyJAYr3d6zGKx+e09jsCLuPY/BKrn3RAYr594zGayme09lsMLuPZfBqrv3ZAYr8d6zGazOe09nsGLvPZ/BKv7pExpjoUrCtkLJNig+Nihssk2CNxm8RfAWg7cJ3mbwDsE7DN4leJfBewTvMXif4H0GHxB8wOC3BL9l8CHBhwweEDxg8BHBRww+JviYwScEnzD4lOBTBp8RfMbgc4LPGXxB8AWDLwm+ZPAVwVcMvib4msE3BN8w+JbgWwa/I/gdg98T/P7p49UXHVjVMY1uMP0a6TFuk3NbPrfFuW2f2+bcjs/tcG7X53Y5t+dze5zb97l9zh343AHn3vrcW84d+twh5wY+N+Dckc8dce7Y5445d+JzJ5w79blTzp353Bnnzn3unHMXPnfBuUufu+Tclc9dce7a5645d+NzN5y79blbzr3zuXece+9zTvbXvISov4L5HIGfXV+2fesih5n7POuwbGqhYUZJo62JNe7Xw3UDM2RkEapDTBWCCFUfpvZAhGqOuhkJVRqmzkCE6gtTXSBCVYWpKRChWsJUEohQBWHqB0SobjBVAyJULZhaAZGUrYNFqDIwdQEiOVs/i1AVYGoARCj3m8yPCGV8k+8RoTxvsjwiki24RSin1822sE2pLUL522RvRChrm5yNCOVqk6kRoQxt8jMifdWoX4bWQVpO9H6b360C61EjDqMLB9JHLXoy0VBpkI0i3cNeEFHob4cRN78JNpLUcnQAOkQE/ydIJnGmu5rfBDvhNqJtJzKb8fHPtFidhWINyUKhRmxSM/ullrVQoGOyUJwxWSjMCVk4XDZWFORnslCMd2xtZlqE7cxnWoDOwsVkq4jiK9iSzLTonIWi+0IWCq5iKzXTQmsXaKZF5ixcaLbMKLCaLBTXPVkorAeyUFSPZKGgvs6b77wwzz5Y3ORY1BnlVpNZEaGMavIpIpRHTRZFhLKnyZ2jjOVMkzERoUxp8iQilB9NdkSEsqLJiYhQLjSZEBHKgCb/IUJ5z2Q9RCjbmVyHCOU4k+EQocxm8hoilM9MNkOEspjJYYhQ7jKZCxHKWCZfIUJ5ymQpRCg7mdxkv691yPXMfVPrkBuLUP4x2QcRyjom5yBCucZkGkTesx2kvDDiaSE7nTQH8RCv2Oq50NfMoAn/dnJNDGvuwsaxUdEl5FK/obENYRpUgKKabOgTCO9oiz05TvSjUsjDIkryGJ0F01QjctxeZ/OZ1E95L0A95WBUpNFPuRk9zDEIu09q8+bbY5M3G3/mKXUzNWXry1wy9atNh5H+1ZbDKALUtsMoBtSOwygK1K7DKA7UnsMoEtS+wygW1IHDKBrUW4dRPKhDh1FEqIHDKCbUkcMoKtSxwygu1InDKDLUqcMoNtSZwyg61LnDKD7UhcMoQtSlwyhG1JXDKErUtcMoTtSNwyhS1K3DKFbUO4dRtKj3DrMVGQp5rwrKiWVj9zk39D5uxJsMJl3EWwwmacTbDCZ1xDsMJoHEuwwmjcR7DCaZxPsMJqXEBwwmscRvGUx6iQ8ZTJKJBwwm1cRHDCbhxMcMJu3EJwwm+cSnDCYFxWcMJhHF5wwmHcUXDCYpxZcMJjXFVwwmQcXXDCZNxTcMJlnFtwwmZcXvGEziit8z2FX8F+btIU3L9inKiIlLbhJK2pJbhJK05DahRlnPxbb5JmMqQQRCghJ46xQisbMqRhAGGleTRIr7YppGCKEFQprvPbCWnFZCv1JXpOhIv+8CDyXWlubLXPeV+i7dkdQp9wglccp9Qkmb8oBQkqZ8SygpUx4SSsKUA0JJl/KIUJKlPCaUVClPCCVRylNCSZPyjFCSpDwnlBQpLwglQcpLQkmP8opQkqO8JpTUKG8IJTHKW0JJi/IdoSRF+Z7Q9pFLjnUfmI8QgX3Y0hSBQBXAwC/+dXm4QRZKdZMslOgWWSjNbbLwsNshC0W0SxaKZ48sFM0+WSiWA7JQJG/JQnEckoWiGJCFYjgiC0VwTBZu/glZuOmnZOFmn5GFm3xOFm7uBVm4qZdk4WZekYWbeE0Wbt4NWbhpt2ThZr0jCzfpPbtfU2k1VZbeMuBbpmzFhUeKjl/zliwGsUVXzVuLxVQJLHfEPaa0Eiq/IAKqiLxqqLm9ajVgGi4UgmDKJejUS2AKJuhUTGBKJujUTGCKJuhUTWDKJujUTWAKJ+hUTmBKJ+jUTmCKJ+hUT2DKJ+jUT2AKKOhUUGBKKOjUUGCKKOhUUWDKKOjUUWAKKehUUmBKKejUUmCKKehUU2DKKejUU2AKKuhUVGBKKujUVGCKKuhUVWDKKujUVWAKK+hUVmBKK+jUVmCKK+hUV2DKK+jUV2AKLGAVFn5SwJSjqimIaR5BlT7ql5aiQAUihhwqzDbaTiQqfTTVqaf7+jE2nc/KT7Nhlc2MYRKf9gpZmVRJaF73pf7tu4OjR5PuzGsg+iaYHzu+3Rsik0DhJ3X/Fl7LU97ydN43mKyIIP3WREyDdibWWrhP0+j0W41KlaQRNC2HxmhH3/bAY0IV4SSQ+mX1YKoK8wkKKm+EnRdYS9umHWPTZXEAEXjtrNnTrkICDx3XzpqohdA8Q/Mbp0GZBiHM2zdqBg0wF89Fc+0v73Ln/eI24+10BzKQ7KWdQZc9n/Pc3jk1s5KtcYdMq7l77uYTFcTz9klalwoVzVFbyTiBqutaFmOVBQ/U0gHddpgsCvMSk33ItuilTKd69l/1kwCfPRzM+RtMh4OFDdTvdnsvenf9K/wVVLj3VcFaXixswFZRE60NLdCbIh1XQaYfSE3uiwoLVBk8SvFs8OOrZ/rtHfPHINPcvoUqS9x/ad4eezaENGVt3APR52ITEyCGfK7/e8R4h0y/xaarYOuUtdavkBbT2ORMUxQnClaNe1mIqADt7j65S0qIkmCt8wpyUWWpfng/nw1+fDnvIYscNLfex6l70+9VH1dqpuxhjBYGPw6TfKweu6FTBvovHXCXTwMdLBeAZ60MYhBJLvKiKegVPKyJrUkh9fIUugAMJ2IbP/vm8FspRkVxt7bsPc45KfXpXFT/jBqvYjMA/D1c1VffaqjPSdsQr/pdGrViM/P/Ey0uUVCX+g2/FNQwGGGcpcX9qILg7tN3K+vdv0NavLh+tbb+u7XXZ69X/rjZ/I3SL5f+Yekfl75fWl/6/dIfl/aXTpeulsKl/1j6z6X/WvrvN+LN7pujNye26c9/1vT5zZL38+b2fwFk7bOT</latexit> @⌦Neumann • ػցֶशͱ૬ੑͷΑ͍ 
 ڥք৚݅ॲཧख๏ͷ։ൃ • ࣌ؒൃలΛӄతʹղ͘ 
 ඇઢܗιϧόͷ׆༻
  22.  શମͷฏۉ 
 ΍NBYͳͲ ඇઢܗιϧόϞνϕʔγϣϯ • (//Ͱ͸ۙ๣ͷ৘ใͷΈΛऔΓࠐΉͨΊ 
 େҬతͳ৘ใ͕औΓࠐΈʹ͍͘ •

    ඇѹॖੑྲྀΕͰ͸ɺඇѹॖੑͷޮՌͰ 
 ྲྀΕͷ৘ใ͕େҬతʹ఻೻͢Δ͜ͱ͕͋Δ • (MPCBMQPPMJOHΛಋೖ͢Δ͜ͱͰ 
 େҬతͳ৘ใΛऔΓࠐΊΔ - $G%FFQ4FUT[Zaheer et al. NIPS. 2017]
  23.  ➡ ޮՌతʹHMPCBMQPPMJOHΛಋೖ͢ΔͨΊ 
 ඇઢܗιϧόͷ஌ݟΛྲྀ༻͠ 
 (// *TP($/ ͱ%FFQ4FUTΛ༥߹ શମͷฏۉ

    
 ΍NBYͳͲ ඇઢܗιϧόϞνϕʔγϣϯ • (//Ͱ͸ۙ๣ͷ৘ใͷΈΛऔΓࠐΉͨΊ 
 େҬతͳ৘ใ͕औΓࠐΈʹ͍͘ • ඇѹॖੑྲྀΕͰ͸ɺඇѹॖੑͷޮՌͰ 
 ྲྀΕͷ৘ใ͕େҬతʹ఻೻͢Δ͜ͱ͕͋Δ • (MPCBMQPPMJOHΛಋೖ͢Δ͜ͱͰ 
 େҬతͳ৘ใΛऔΓࠐΊΔ - $G%FFQ4FUT[Zaheer et al. NIPS. 2017]
  24. • ෺ཧྔͷۭ͔ؒΒɺΑΓଟ࣍ݩͷۭؒ΁ຒΊࠐΈ ΤϯίʔσΟϯά  ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ ೖྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻

    Τϯίʔυ ඇઢܗιϧό *TP($/ %FFQ4FUT • Τϯίʔυ͞Εۭͨؒ಺ͰඇઢܗιϧόΛద༻ DG/FVSBM0%&[Chen et al. NeurIPS 2018] ඇઢܗιϧόख๏֓ཁ
  25. • ෺ཧྔͷۭ͔ؒΒɺΑΓଟ࣍ݩͷۭؒ΁ຒΊࠐΈ ΤϯίʔσΟϯά  ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ ೖྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻

    Τϯίʔυ ඇઢܗιϧό *TP($/ %FFQ4FUT ग़ྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ σίʔυ • Τϯίʔυ͞Εۭͨؒ಺ͰඇઢܗιϧόΛద༻ DG/FVSBM0%&[Chen et al. NeurIPS 2018] • نఆճ਺൓෮·ͨ͸࢒͕ࠩᮢ஋ΛԼճͬͨΒσίʔυ͠ɺग़ྗ ඇઢܗιϧόख๏֓ཁ
  26. • ෺ཧྔͷۭ͔ؒΒɺΑΓଟ࣍ݩͷۭؒ΁ຒΊࠐΈ ΤϯίʔσΟϯά  ➡ Τϯίʔυ͞ΕۭͨؒͰͷ ऩଋੑ͕Α͍ͱظ଴͞ΕΔ ඇઢܗιϧόΛֶश ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ

    ೖྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ Τϯίʔυ ඇઢܗιϧό *TP($/ %FFQ4FUT ग़ྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ σίʔυ • Τϯίʔυ͞Εۭͨؒ಺ͰඇઢܗιϧόΛద༻ DG/FVSBM0%&[Chen et al. NeurIPS 2018] • نఆճ਺൓෮·ͨ͸࢒͕ࠩᮢ஋ΛԼճͬͨΒσίʔυ͠ɺग़ྗ ඇઢܗιϧόख๏֓ཁ
  27.  ➡ Τϯίʔυ͞ΕۭͨؒͰͷ ऩଋੑ͕Α͍ͱظ଴͞ΕΔ ඇઢܗιϧόΛֶश ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ ೖྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ

    //Λద༻ Τϯίʔυ ඇઢܗιϧό *TP($/ %FFQ4FUT ग़ྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ σίʔυ ඇઢܗιϧόख๏֓ཁ Τϯίʔυ ߴ࣍ݩۭؒ ೖྗಛ௃ྔۭؒ ௿࣍ݩۭؒ
  28. • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻

    ໨࣍  • ਺஋࣮ݧ IUUQTPQUJNBMVWBOMCJOBSJFT@IU@FYUSBMBSHF DPOUFOUHBMMFSZTVCTJUFTPQUJNJ[BUJPOGPSBOEXJUINBDIJOF MFBSOJOHPQUJNBMHSBEJFOUEFTDFOUPQUJNBMKQH <latexit 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</latexit> @⌦Dirichlet <latexit 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</latexit> @⌦Neumann • ػցֶशͱ૬ੑͷΑ͍ 
 ڥք৚݅ॲཧख๏ͷ։ൃ • ࣌ؒൃలΛӄతʹղ͘ 
 ඇઢܗιϧόͷ׆༻
  29. ໨࣍  • ਺஋࣮ݧ IUUQTPQUJNBMVWBOMCJOBSJFT@IU@FYUSBMBSHF DPOUFOUHBMMFSZTVCTJUFTPQUJNJ[BUJPOGPSBOEXJUINBDIJOF MFBSOJOHPQUJNBMHSBEJFOUEFTDFOUPQUJNBMKQH <latexit sha1_base64="ZaUbh7AbmMfYb58mjjk2qvUCI+4=">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</latexit> @⌦Dirichlet

    <latexit 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</latexit> @⌦Neumann • ػցֶशͱ૬ੑͷΑ͍ 
 ڥք৚݅ॲཧख๏ͷ։ൃ • ࣌ؒൃలΛӄతʹղ͘ 
 ඇઢܗιϧόͷ׆༻ • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻
  30. ڥք৚݅ͷߟྀϞνϕʔγϣϯ • ෺ཧݱ৅ ภඍ෼ํఔࣜ Ͱ͸ 
 ߟྀ͢ΔྖҬͷڥքͷ 
 ৘ใ͕ඞཁˠڥք৚݅ •

    ҟͳΔڥք৚݅͸ 
 ҟͳΔ෺ཧతঢ়گʹରԠ͢ΔͨΊ 
 ڥք৚݅ͷऔΓѻ͍͸ඞਢ  ऑ͍෩ ڧ͍෩
  31.  ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ Τϯίʔυ ೖྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ ඇઢܗιϧό *TP($/

    %FFQ4FUT σίʔυ ग़ྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ ڥք৚݅ͷߟྀϞνϕʔγϣϯ • Τϯίʔυ͞ΕۭͨؒͰඇઢܗιϧόΛద༻͍ͨ͠
  32. • Τϯίʔυ͞ΕۭͨؒͰඇઢܗιϧόΛద༻͍ͨ͠  ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ Τϯίʔυ ೖྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻

    ඇઢܗιϧό *TP($/ %FFQ4FUT σίʔυ ग़ྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ ڥք৚݅ͷߟྀϞνϕʔγϣϯ ➡ Τϯίʔυ͞ΕۭͨؒͰڥք৚݅Λద༻͍ͨ͠
  33.  • ৚݅Λ෇Ճ͢Δ෺ཧྔͱಉ͡ΤϯίʔμΛ࢖͍Τϯίʔυ͢Δ ڥք৚݅ͷߟྀख๏֓ཁ %JSJDIMFUڥք৚݅ <latexit 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</latexit> ⇣ f ⇣

    u(t) j ⌘ , g ⇣ p(t) j ⌘ , . . . ⌘ <latexit sha1_base64="iducgtaTP23mbS51fL+hZ2hRyoU=">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</latexit> f ⇣ ˆ u(t+1) j ⌘ <latexit 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</latexit> ˆ u(t+1) j <latexit 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</latexit> ⇣ u(t) j , p(t) j , . . . ⌘ %JSJDIMFUڥք৚݅ Τϯίʔυ͞Εͨ 
 %JSJDIMFUڥք৚݅ <latexit sha1_base64="tyBV2jcVai4d0Y8/aV5bONeD2Zc=">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</latexit> ⇣ u(t) i , p(t) i , . . . ⌘ <latexit sha1_base64="TW7w8lkfq4cOY4VQfSF6Y+v5fww=">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</latexit> ⇣ f ⇣ u(t) i ⌘ , g ⇣ p(t) i ⌘ , . . . ⌘
  34.  • ৚݅Λ෇Ճ͢Δ෺ཧྔͱಉ͡ΤϯίʔμΛ࢖͍Τϯίʔυ͢Δ ڥք৚݅ͷߟྀख๏֓ཁ %JSJDIMFUڥք৚݅ • Τϯίʔυ͞ΕۭͨؒͰ஋ͷ্ॻ͖Λ͢Δ ඇઢܗιϧόͷຖΠςϨʔγϣϯ <latexit 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    ⇣ f ⇣ u(t) j ⌘ , g ⇣ p(t) j ⌘ , . . . ⌘ <latexit 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</latexit> f ⇣ ˆ u(t+1) j ⌘ <latexit 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</latexit> ˆ u(t+1) j <latexit 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</latexit> ⇣ u(t) j , p(t) j , . . . ⌘ %JSJDIMFUڥք৚݅ Τϯίʔυ͞Εͨ 
 %JSJDIMFUڥք৚݅ <latexit sha1_base64="tyBV2jcVai4d0Y8/aV5bONeD2Zc=">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</latexit> ⇣ u(t) i , p(t) i , . . . ⌘ <latexit 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</latexit> ⇣ f ⇣ u(t) i ⌘ , g ⇣ p(t) i ⌘ , . . . ⌘
  35.  • ৚݅Λ෇Ճ͢Δ෺ཧྔͱಉ͡ΤϯίʔμΛ࢖͍Τϯίʔυ͢Δ <latexit 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</latexit> ⇣ u(t+1) i , p(t+1)

    i , . . . ⌘ <latexit 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</latexit> ⇣ ˆ u(t+1) j , p(t+1) j , . . . ⌘ ڥք৚݅ͷߟྀख๏֓ཁ %JSJDIMFUڥք৚݅ • Τϯίʔυ͞ΕۭͨؒͰ஋ͷ্ॻ͖Λ͢Δ ඇઢܗιϧόͷຖΠςϨʔγϣϯ • ΤϯίʔμͷQTFVEPJOWFSTFΛ࢖͍σίʔυ͢Δ <latexit 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</latexit> ⇣ f ⇣ u(t) j ⌘ , g ⇣ p(t) j ⌘ , . . . ⌘ <latexit 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</latexit> f ⇣ ˆ u(t+1) j ⌘ <latexit 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</latexit> ˆ u(t+1) j <latexit 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</latexit> ⇣ u(t) j , p(t) j , . . . ⌘ %JSJDIMFUڥք৚݅ Τϯίʔυ͞Εͨ 
 %JSJDIMFUڥք৚݅ <latexit sha1_base64="tyBV2jcVai4d0Y8/aV5bONeD2Zc=">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</latexit> ⇣ u(t) i , p(t) i , . . . ⌘ <latexit sha1_base64="TW7w8lkfq4cOY4VQfSF6Y+v5fww=">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</latexit> ⇣ f ⇣ u(t) i ⌘ , g ⇣ p(t) i ⌘ , . . . ⌘
  36.  • *TP($/ͷ৔߹ɺNFTTBHFؔ਺ ྡͷ఺͔ΒͷӨڹΛهड़͢Δؔ਺ ͸ํ޲ඍ෼ͳͷͰ 
 ཻࢠ๏[Matunaga et al. Comput

    Methods Appl Mech Eng. 2020]ͱಉ͡Α͏ʹ /FVNBOOڥք৚݅͸ࣗવʹೖΔ <latexit 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xj <latexit 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ni *OTJEF 0VUTJEF /PSNBMWFDUPS ڥք৚݅ͷߟྀख๏֓ཁ /FVNBOOڥք৚݅
  37. ໨࣍  • ਺஋࣮ݧ IUUQTPQUJNBMVWBOMCJOBSJFT@IU@FYUSBMBSHF DPOUFOUHBMMFSZTVCTJUFTPQUJNJ[BUJPOGPSBOEXJUINBDIJOF MFBSOJOHPQUJNBMHSBEJFOUEFTDFOUPQUJNBMKQH <latexit sha1_base64="ZaUbh7AbmMfYb58mjjk2qvUCI+4=">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</latexit> @⌦Dirichlet

    <latexit 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</latexit> @⌦Neumann • ػցֶशͱ૬ੑͷΑ͍ 
 ڥք৚݅ॲཧख๏ͷ։ൃ • ࣌ؒൃలΛӄతʹղ͘ 
 ඇઢܗιϧόͷ׆༻ • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻
  38. ໨࣍  • ਺஋࣮ݧ IUUQTPQUJNBMVWBOMCJOBSJFT@IU@FYUSBMBSHF DPOUFOUHBMMFSZTVCTJUFTPQUJNJ[BUJPOGPSBOEXJUINBDIJOF MFBSOJOHPQUJNBMHSBEJFOUEFTDFOUPQUJNBMKQH <latexit sha1_base64="ZaUbh7AbmMfYb58mjjk2qvUCI+4=">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</latexit> @⌦Dirichlet

    <latexit 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</latexit> @⌦Neumann • ػցֶशͱ૬ੑͷΑ͍ 
 ڥք৚݅ॲཧख๏ͷ։ൃ • ࣌ؒൃలΛӄతʹղ͘ 
 ඇઢܗιϧόͷ׆༻ • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻
  39. ਺஋࣮ݧ ඇѹॖੑྲྀΕ ໰୊ઃఆ  <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u

    @t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D 1 2 r ⌦ u + (r ⌦ u)T n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o ਺஋ղੳ݁Ռ ྲྀ଎ϊϧϜ ॳظ৚݅ <latexit sha1_base64="tYUB0xaYWbOBiV/ErpGuov6hj9g=">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</latexit> u = 0 <latexit sha1_base64="BvigH7qhtcaE4wU+aLg0FZ2LAbg=">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</latexit> u = 0 @ 1 0 0 1 A Re in ⌦ in ⌦ on @⌦D on @⌦N
  40. ਺஋࣮ݧ ඇѹॖੑྲྀΕ ໰୊ઃఆ  <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">AAA3MniclVvZctzIcuXoermmt5nrN/ulwpTmamySFiWF7AfbMdxJsbmIu6SWFGh0NhoiNqGqQVK47Z+yf8Z+c/jVH+GsKlRnFhrU+DJCIvKcqkQtJyuz0eCgSGKpnj37z+8e/eoP/vCP/vjXf7L4p3/253/xl9//8JtLmU/KEC7CPMnL60EgIYkzuFCxSuC6KCFIBwlcDW42NX9VQSnjPDtX9wV8SIMoi0dxGCiEPv3w3b/3j1OIAvFjX04GEpTop4EaDwb16fTjC/Gj+HGx31/sF8N4NKr71WRaq6n48V/EiniKluiHwxy7ZMEgCX4SGvl70R+VQVivTWvjqUzrU5hOmzZeB9N+xRkF3sz1iDPsoG0zNjMCrzv2wzE8+3aPaoJDvFsWSmDTn3QHhD5Rh1hNdYOffslLu+fWlPXIXY8iKFUcJE1X1lh7eeqGn6s4Band6dXKjOtBWj/7fVweTT99v/Rs9Zn5EfMXa83F0kLzc/Lph5ej/jAPJylkKkwCKd+vPSvUh1rfIEwAxziRUAThTRDBe7zMAhzlh9rIayqeIDIUo7zEf5kSBuU96iCV8j4dYEs9RNnmNNjJDVLvzvW99i9bo1Gjf/qAG1NMFGShHcxokgiVC61nMYxLCFVyjxdBWMY4HxGOA1SgQtV73lV889W/nx6RyvPEv2VdBeVtPMQxeyjuhryJCx+0K+RBdx2YvvVKOEQwg9swT9MgG9Z9HVPT988/1DZihmIJgwb/f47hIp7k5TDOglJPbDSCEncOteA7KFoeZorRjshAf36/OJt11DcV/yDMXfGmcbaiTxLx/7g5bgndnm6MzvidmU+HPuxyomPy/Rr6mwXD+6W1D2Y5NCduYzUW8sskKEEMcMY3oKTvIlB2QAmM1KoeTr+Mo7H63ad6fhmGkOB6t0A5KQozho/106W1n9p98JA07CwacalbTS5w7TGmL9r4pcUvEX8iPAYsA/P7VJQ5zeefcT7LuKjNnP51zs9lUNrla8ambdOzX9NS9Ofvv+312u7u4y/zQNo+uuXv2DpPFxcXn+gfcbR9JQ7Xz/fE1vbO/tH++f7x0Zkw1GLXAbGMv034L+tTAUd4GJQ3QmJsY56SIh+JMCjstT6JSkANlXEW6YNgGFexdM1GcTQpoSULBPVIpzUudiqe9vB6bmuxTYiqhNK12jRWVzszV9fsVBtdrVReuDbnedHVYpArlaeu0Yax5to18w5cs+ChFgPXYvBQi9C1CB9qMXQthroFbsMezi7RMxSBwPb6oIURhvNQ4Nqkvg+81qBRBip6JExwaC87ZlPsruExDssiyW+hXAmxdFldxEgcmWWF0dJabTfw3/po2ejq6o7DjVWQrIodFINUeLTovZd6x5C3Hnecx522R0Or29zdc+l5c1dMzU0jgTNqjOeuBx48Q+qy9GLp5Vy35Vkfd/WCu3pppnNmVf3N5UDl28E3IeCtR4cDtyC295nrfdbR+9T1Mkn0Np9F2epsYezdpVmZWQw+sDRth+MSoO2S+Vt6Me+RVo35fjHvO8gE4Cbozh1LBl/snF2Thyft+cEDH0qh/Vg3242b7S4366IMbmndW85WVlaCKo+HYiL10RSPRJFLGWMxbl0XSYCh0/h/eHS6gikwkjrmqBnbvWnze0+ycbQ5c7T5i45wzlkE5gy2baX1YeDZiFAqjnauVlYelAmOLkiiHCu2cdoxT+Ts6GaNvjlR5mpupuvO1XqHKyd4dz+cxMzXtw+Dc6/T+i92mltUXQ81M2fq06gdrr761qbY/m31nsz6n/j93UxnN8BR6+sHB9wIDuJEizXRFzbR66vG3yjJ89LQ5sry5rJpsGYqm7kaSZUYCM0nxDBI8GNSq0EVJPGQN/g0q08sNZ1zCVJ1dzDMdDYjKKTOcYWME/yoZfPTKbrIU4GVf4wf1MDpG1RQa893KsvLFL0+7iP0eOqWs2zRATEDnxkQE/pMSMzQZ4bEgM8AMSOfGRET+UxEzNhnxsTEPhMT89lnPhNz4zM3xCQ+k0yNjMtUxBIjtoRgeK8PO7uDy+LzRCoxzLPfKqE/gKIc7/XJ422MSBvfme87o7vmPpMTU/hMQcwXn/lCTOkzJTHSZyQxymcUMROfmRBT+UxFzK3P3BJz5zN3xNz7zD0xX33m69SWeS4AMDPns+O9aoKktqE0GLGwmY1bjW2UuBbGZjzjODwgmMVGFRLMAqMaEsyiogKCWUhUI4JZPFQRwSwYqjHBLBKqCcEsDKrPBLMYqG4IZgFQJQQnDE4JThnMFpqvcE4wE3NVEMyUXH0hmMm4KglmGq4kwZJvKsGqe024dCuCmW6rW4KZaKs7gpliq3uCmVyrrwQ7rW4noB9kmU97ZYduwYqu81wGq7zOkxms/DrPZrAa7DydwQqx83wGq8bOExqsJDvPaLC67DylkXvwnAar0M6TGqxMO89qsFptn9aOS30u5dyDJzFY6XaexWD123kagxVx53kMVsmdJzJYOXeeyWA13XkqgxV257kMVt2dJzNYiXeezWB13nk6gxV75/kMVvEPn9AYC2UcziqUdJ3iY53CJt0geIPBmwRvMniL4C0GbxO8zeAdgncYvEvwLoP3CN5j8D7B+wx+TfBrBh8QfMDgHsE9Bh8SfMjgI4KPGHxM8DGDTwg+YfAbgt8w+JTgUwafEXzG4HOCzxl8QfAFgy8JvmTwFcFXDL4m+JrBbwl+y+B3BL97+Hj1RQdWdUyj60y/RnqM2+Dcps9tcm7L57Y4t+1z25zb8bkdzu363C7n9nxuj3P7PrfPudc+95pzBz53wLmez/U4d+hzh5w78rkjzh373DHnTnzuhHNvfO4N50597pRzZz53xrlznzvn3IXPXXDu0ucuOXflc1ecu/a5a8699bm3nHvnc072l7yEqL6C+Rxhvptzfas8g9p9nnVYOrFQP6WkMauJNe7Xw1UDM2RgEapDTBWCCFUfpvZAhGqOqhkJVRqmzkCE6gtTXSBCVYWpKRChWsJUEohQBWHqB0SobjBVAyJULZhaAZGErYNFqDIwdQEiGVs/i1AVYGoARCj3m8yPCGV8k+8RoTxvsjwiki24RSinV822sE2pLEL522RvRChrm5yNCOVqk6kRoQxt8jMiXdWoX4ZWQVKM9X6b3zMFVoNGHEYXDqSPWvRkoqGSIB0MdQ97QUSuvxdG3Pwm2EhSy9EB6BAR/J8gGUep7mp+E+yE24h2NpG65uOvtVidhWINyUKhDtmkavullrVQoCOyUJwRWSjMMVk4XDZWFORnslCMN2xtai3C2cxrLUBn4WKyVUTx5WxJai06Z6HovpCFgivZStVaaLMFqrXInIULzZYZBVaRheK6JQuFdUcWiuqeLBTU12nznRfm2TuLmxyLOqPcajIrIpRRTT5FhPKoyaKDlGVPkzsHKcuZJmMiQpnS5ElEKD+a7IgIZUWTExGhXGgyISKUAU3+Q4Tynsl6iFC2M7kOEcpxJsMNUpbZTF5DhPKZyWaIUBYzOQwRyl0mcyFCGcvkK0QoT5kshQhlJ5Ob7Pe1Drms3Te1DrmyCOUfk30Qoaxjcg4ilGtMpkHkHdtBygsDnhbSk3FzEPfxiq2eC33N9Jrwn02uiWHNndk4Nio6h0zqNzS2IEyCElBU43V9AuEdbbEnR7F+VApZmA/jLEJnwSTRiBzNrtNpLfVT3jNQDzkY5Mnwl9wM7qYYhO0ntVnz7bHJm40/85S6mZqy9WUmmfrVhsNI/2rTYRQBasthFANq22EUBWrHYRQHatdhFAlqz2EUC2rfYRQN6rXDKB7UgcMoIlTPYRQT6tBhFBXqyGEUF+rYYRQZ6sRhFBvqjcMoOtSpwyg+1JnDKELUucMoRtSFwyhK1KXDKE7UlcMoUtS1wyhW1FuHUbSodw6zFRkKebcMirFlI/c5N/Q+bkQbDCZdRJsMJmlEWwwmdUTbDCaBRDsMJo1EuwwmmUR7DCalRPsMJrFErxlMeokOGEySiXoMJtVEhwwm4URHDCbtRMcMJvlEJwwmBUVvGEwiik4ZTDqKzhhMUorOGUxqii4YTIKKLhlMmoquGEyyiq4ZTMqK3jKYxBW9Y7Cr+M/M20OalrOnKAMmLrlBKGlLbhJK0pJbhBplPRFb5puMiQQRCP1iJd46gaHYXhYDCAONq3EsxW0+SYYIoQVCmu89sJaclEK/Upcn6Ei/7wJ3BdaW5stc95X6Dt2R1Cl3CSVxyj1CSZtyn1CSpnxNKClTHhBKwpQ9QkmX8pBQkqU8IpRUKY8JJVHKE0JJk/INoSRJeUooKVKeEUqClOeEkh7lBaEkR3lJKKlRXhFKYpTXhJIW5VtCSYryHaGzRy4Z1n1gPkIE9mFLUwQCVQA9v/jX5eE6WSjVDbJQoptkoTS3yMLDbpssFNEOWSieXbJQNHtkoVj2yUKRvCYLxXFAFoqiRxaK4ZAsFMERWbj5x2Thpp+QhZv9hizc5FOycHPPyMJNPScLN/OCLNzES7Jw867Iwk27Jgs36y1ZuEnv2P2aSqupsvSWAd8yZSsuPFJ0/Jq3ZDGILbps3lrMJ0q/6StuMaUVUPoFEVBF5FVDze3VTAOm4VwhCKZcgla9BKZgglbFBKZkglbNBKZoglbVBKZsglbdBKZwglblBKZ0glbtBKZ4glb1BKZ8glb9BKaAglYFBaaEglYNBaaIglYVBaaMglYdBaaQglYlBaaUglYtBaaYglY1BaacglY9BaagglZFBaakglZNBaaoglZVBaasglZdBaawglZlBaa0glZtBaa4glZ1Baa8glZ9BabAAlZh4ScFTDmqnICYZEMok3v90tIwUIGIIIMSs422Y4lKH0x06mm/foxNp3Xxqe6XaW0Mk/i0V0iLuIxD87ov9Z+9Ozi4N+nOvAaib4L5seXbvSEyDhR+Uvdv4bU84S1Ppl2DSfMhJN+aiGkwm4m15u7TNDr5VqNCxckQmpZ9Y8xGP+uBx4TKw3Eg9cvqwUTl5hMUlN4IWy+wFrbNbIxNl/kBDMFrZ82OdiUSeOi4dtZELYTmGZrfOAmKJAiB/qKj1wBT8UQ01/7yLrbeL55lvO32QHqSvbTTa7OnU57bW6dmWrA1bpFJOXXP3XyihGg6e5LWpkJFc9RWPIqhbLuW+UilwR21dEC7HSaL3LzEZB+yzXspkome/Vf9JMBnD3pT/gbTQW9uA/W73d6L3m3/Cn8FJe59mbOWZ3MbsJlXRGtDC/QqT0ZlkOoHUuPbvMQCVQb3UjzufXz+WL+9Y/4YZJLZt1Blgfsvzdtjj/uQJKyNeyD6RGxgAsSQz/R/9xjvkOq32HQVbJ2y1voV0nwSmZxpiuJYwbJxL3MxzEG7u41v4gKGcbDaegU5L9NEP7yf1r2Pz6YdZJ6B5ta6OHVr+j3v4grNFB2M0ULvYz/ORuq+HTpFoP/SAXf5JNDBcgZ41sogAhFnIsubgl7B3arYHOdSL0+uC8BwLLbws28Gv5VikOc3q4ve45zjQp/Oefl3qPEyMgPA3/1lffWthvqctA3xqtulUSs2M/8/0OIcBXWu3/BLQPWDAcZZkt8OSghuPn2/tNb+O6T5i8vnq2uvVl++ebn080bzN0q/Xvibhb9deLqwtvCPCz8v7C2cLFwshI/++tHPj/YfvX71H6/+69V/v/of2/TRd02fv1rwfl797/8BKSo75g==</latexit> ⌦ ⇢ R3 @u

    @t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D 1 2 r ⌦ u + (r ⌦ u)T n = 0 on @⌦N <latexit 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ltz92mMjr9nVKg4GUJj2TeN2ehnPfCYUHk4DqR+WT2YqNx8goLSG2HrBdbC2szG2HSZH8AQPDvb7LArkcBDx9nZJmohNM/QfOMkKJIgBPoTkF4DTMUT0Vz7y7vYer94lvG22wPpSfbSTq/Nnk55bm+dmmnB1rhFJuXUPXfziRKi6exJWpsKFc1Rt+JRDGXbtcxHKg3uyNIBbTtMFrl5ick+ZJv3UiQTPftv+kmAz+73pvwNpv3e3Abqd7u9F73b/hX+Ckrc+zJnlmdzG7CZV0TrhhboVZ6MyiDVD6TGt3mJBaoM7qV43Pv04rF+e8f8Mcgks2+hygL3X5q3xx73IUmYjXsg+kRsYALEkM/0f/cY75Dqt9h0FWydMmv9Cmk+iUzONEVxrGDZuJe5GOag3d3GN3EBwzhYbb2CnJdpoh/eT+vep+fTDjLPQHNrXZy6Nf1edHGFZooOxmih96kfZyN13w6dItB/6YC7fBzoYDkDPGtlEIGIM5HlTUGv4G5VbI5zqZcn1wVgOBZb+Nk3g99KMcjzm9VF73HOUaFP57z8Z9R4GZkB4O/+sr76nqE+J60hXnW7NGpFM/P/AxbnKKhz/YZfAqofDDDOkvx2UEJw8/nHpbX23yHNX1y+WF373eqrk1dLv99o/kbpVwv/sPBPC08X1hZeL/x+YXfheOFiIXy0/+jro2+P6t/97+tfv/7N67+3po9+aPr83YL38/of/w/mSEsc</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 <latexit 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pZ9Y8xGP+uBx4TKw3Eg9cvqwUTl5hMUlN4IWy+wFrbNbIxNl/kBDMFrZ82OdiUSeOi4dtZELYTmGZrfOAmKJAiB/qKj1wBT8UQ01/7yLrbeL55lvO32QHqSvbTTa7OnU57bW6dmWrA1bpFJOXXP3XyihGg6e5LWpkJFc9RWPIqhbLuW+UilwR21dEC7HSaL3LzEZB+yzXspkome/Vf9JMBnD3pT/gbTQW9uA/W73d6L3m3/Cn8FJe59mbOWZ3MbsJlXRGtDC/QqT0ZlkOoHUuPbvMQCVQb3UjzufXz+WL+9Y/4YZJLZt1Blgfsvzdtjj/uQJKyNeyD6RGxgAsSQz/R/9xjvkOq32HQVbJ2y1voV0nwSmZxpiuJYwbJxL3MxzEG7u41v4gKGcbDaegU5L9NEP7yf1r2Pz6YdZJ6B5ta6OHVr+j3v4grNFB2M0ULvYz/ORuq+HTpFoP/SAXf5JNDBcgZ41sogAhFnIsubgl7B3arYHOdSL0+uC8BwLLbws28Gv5VikOc3q4ve45zjQp/Oefl3qPEyMgPA3/1lffWthvqctA3xqtulUSs2M/8/0OIcBXWu3/BLQPWDAcZZkt8OSghuPn2/tNb+O6T5i8vnq2uvVl++ebn080bzN0q/Xvibhb9deLqwtvCPCz8v7C2cLFwshI/++tHPj/YfvX71H6/+69V/v/of2/TRd02fv1rwfl797/8BKSo75g==</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o ਺஋ղੳ݁Ռ ྲྀ଎ϊϧϜ ॳظ৚݅ <latexit sha1_base64="tYUB0xaYWbOBiV/ErpGuov6hj9g=">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</latexit> u = 0 <latexit sha1_base64="BvigH7qhtcaE4wU+aLg0FZ2LAbg=">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</latexit> u = 0 @ 1 0 0 1 A Re in ⌦ in ⌦ on @⌦D on @⌦N • ॳظ஋͸ϙςϯγϟϧྲྀΕ ຎࡲɾӔͳ͠  • ϨΠϊϧζ਺໿ • े෼ࡉ͔͍ϝογϡͰղੳΛͯ͠ૈ͍ϝογϡͰิֶؒ͠शσʔλͱͨ͠
  41. ਺஋࣮ݧ ඇѹॖੑྲྀΕ ໰୊ઃఆ  <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u

    @t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o • ͞·͟·ͳܗঢ়ͷੇ๏Λม͑ͯ 
 ֶशσʔλΛ࡞੒ͨ͠ - 5SBJOJOHEBUBTFUαϯϓϧ - 7BMJEBUJPOEBUBTFUαϯϓϧ - 5FTUEBUBTFUαϯϓϧ <latexit 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pZ9Y8xGP+uBx4TKw3Eg9cvqwUTl5hMUlN4IWy+wFrbNbIxNl/kBDMFrZ82OdiUSeOi4dtZELYTmGZrfOAmKJAiB/qKj1wBT8UQ01/7yLrbeL55lvO32QHqSvbTTa7OnU57bW6dmWrA1bpFJOXXP3XyihGg6e5LWpkJFc9RWPIqhbLuW+UilwR21dEC7HSaL3LzEZB+yzXspkome/Vf9JMBnD3pT/gbTQW9uA/W73d6L3m3/Cn8FJe59mbOWZ3MbsJlXRGtDC/QqT0ZlkOoHUuPbvMQCVQb3UjzufXz+WL+9Y/4YZJLZt1Blgfsvzdtjj/uQJKyNeyD6RGxgAsSQz/R/9xjvkOq32HQVbJ2y1voV0nwSmZxpiuJYwbJxL3MxzEG7u41v4gKGcbDaegU5L9NEP7yf1r2Pz6YdZJ6B5ta6OHVr+j3v4grNFB2M0ULvYz/ORuq+HTpFoP/SAXf5JNDBcgZ41sogAhFnIsubgl7B3arYHOdSL0+uC8BwLLbws28Gv5VikOc3q4ve45zjQp/Oefl3qPEyMgPA3/1lffWthvqctA3xqtulUSs2M/8/0OIcBXWu3/BLQPWDAcZZkt8OSghuPn2/tNb+O6T5i8vnq2uvVl++ebn080bzN0q/Xvibhb9deLqwtvCPCz8v7C2cLFwshI/++tHPj/YfvX71H6/+69V/v/of2/TRd02fv1rwfl797/8BKSo75g==</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D 1 2 r ⌦ u + (r ⌦ u)T n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wuQBKZ1</latexit> a1 <latexit 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4PpeLC0gerdbudF765/ib/8Eve+zFnL4dIG7OQV0cpQAr3Nk0npp+qB1HSel1igCv9ReM8GP796pt7e0X8MMsvMW6iiwP0X+u2xZyNIEtbGPhB97m1jAsSQz9R/jxjvkKq32FQVbJyy1uoV0nwW6Zypi+JYwrp2L3IvzEG5m8f3cQFh7G90XkHOyzRRD+8X9eDnl4seMs9AcZt9nJzrfq/6uEIxRQ+jtTD4eRRnE/nYDZ3CV3/pgLt87qtgGQKetcKPwIszL8ubgl7Cw4a3M82FWp5cFYDB1NvFz74Z/CC8cZ7fb6w6j3POCnU65+U/osbLSA8Af4/W1dW3Gqpz0jTEq36XWq3YTP//RIsrFNSVesMvATnyxxhnST4fl+Dff/p+bbP7d0jLFzevNjZ/t/H64vXa77ebv1H6zcrfrfz9yo8rmyv/vPL7lcOV85XrlWAlWvnPlf9a+e8337354c3Gm5em6a++a/r87Yrz8+Zf/xfFH6Z2</latexit> 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wv6OqZ3</latexit> c1 <latexit 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4PpeLC0gerdbudF765/ib/8Eve+zFnL4dIG7OQV0cpQAr3Nk0npp+qB1HSel1igCv9ReM8GP796pt7e0X8MMsvMW6iiwP0X+u2xZyNIEtbGPhB97m1jAsSQz9R/jxjvkKq32FQVbJyy1uoV0nwW6Zypi+JYwrp2L3IvzEG5m8f3cQFh7G90XkHOyzRRD+8X9eDnl4seMs9AcZt9nJzrfq/6uEIxRQ+jtTD4eRRnE/nYDZ3CV3/pgLt87qtgGQKetcKPwIszL8ubgl7Cw4a3M82FWp5cFYDB1NvFz74Z/CC8cZ7fb6w6j3POCnU65+U/osbLSA8Af4/W1dW3Gqpz0jTEq36XWq3YTP//RIsrFNSVesMvATnyxxhnST4fl+Dff/p+bbP7d0jLFzevNjZ/t/H64vXa77ebv1H6zcrfrfz9yo8rmyv/vPL7lcOV85XrlWAlWvnPlf9a+e8337354c3Gm5em6a++a/r87Yrz8+Zf/xcvYqZ4</latexit> c2 Type A Type B Type C
  42. ਺஋࣮ݧ ඇѹॖੑྲྀΕ ख๏  <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u

    @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit sha1_base64="HShUq+EErd8QR3+dAGh5yeG/6Zg=">AAA2QniclVvZctxKcqXG25je7tiPfqkwpRjdMUmLupI9DzMTw1Wk2Nx3qnUVaCAbDRGbUNUgqZ72181P+Bf85vCrH5xVherMQoO6NiMkIs+pStRysjIbDQ7KNJHq1av/ePazP/nTP/vzv/j5Xy7+1V//zd/+3Xe/+PtLWYyrEC7CIi2q60EgIU1yuFCJSuG6rCDIBilcDe42NX9VQyWTIj9XjyV8zII4T4ZJGCiEPn33x34eDNJA9MOoUKIxypf9+mFZKPHPor8FqQqE+l78VvSHVRBO1qYTB06F3zuFofog+vVYrMw6WvSlQb2bNM1mPrNAjapscgrTtltq36+SeIRjsb8/NsP8/tN3S69WX5kfMX+x1lwsLTQ/x59+8WbYj4pwnEGuwjSQ8sPaq1J9nASVSsIUpov9sYQyCO+CGD7gZR5kID9OzHJPxQtEIjEsKvyXK2FQ3mMSZFI+ZgNsqScl25wGO7lB5t158qj9y9Zo1PDXHydJXo4V5KEdzHCcClUIvb8iSioIVfqIF0FYJTgfEY4CXGSFKvC8q+Tuq38/PSJVFKl/y0kdVPdJhGP20DKo5F1S+qBdIQ966MD0rVfCCMEc7sMiy4I8mvSjZDicfnj9cWJFEYkl1AX+/xoVIV4UVZTkQaUnNhxChTuXBKnvoGx56Jd6Q4PUOCID/fn9knzWUd9U/Iswd8WbJvmKjizxf7g5bgndnm6MzvidmU+HPu1ynCdq+mEN/QkXHh+W1j6a5dCcuE/USMgv46ACMcAZ34GSvotA2QHpIFzVw7Gh84dPk/lliCDF9W6BclyWZgw/Tl4urX3f7iPHA8N+cgPEpW41ucC1H2STizZ+afFLxF8IjwHLwPw+lVVB8/kNzmcZF7WZ0+/m/FwGlV2+ZmzaNj37E1qK/vz9t71e2919/GUeSNtHt/wDW+fp4uLiC/0jDrevxMH6+a7Y2t7ZO9w73zs6PBOGWuw6IJbxtwn/ZX0q4AgPgupOSIxtPLelKIYiDEp7rU+iClBDVZLH+iCIkjqRrtkwiccVtGSBoB7pdIKLnYmXPbye21psE6IqoXKtNo3V1c7M1TU7NWd0RytVlK7NeVF2tRgUShWZa7RhrLl2zbwD1yx4qsXAtRg81SJ0LcKnWkSuRaRb4Dbs4uxSPUMRCGyvD1oYYjhHAtcm833gtQaNMlDRQ2GCQ3vZMZtidw2PcVgWaXEP1UqIqXx1ESNxaJYVhktrE7uB/95Hy0ZXV3ccbqKCdFXsoBikwqNF773UO4a89bjjPO60PRpa3Rfunkuvm7tK4RoJnFFjvHY98OCJqMvSD0tv5rotz/q4qx+4qzdmOmdW1d9cDlS+HXwTAt56dDhwC2J7n7neZx29T10vk0Tvi1mUrc4Wxt5dmpWZxeATS9N2OKoA2i6Zv6Uf5j3SqjHfP8z7DnIBuAm6c8eSwRc7Z9fk6Ul7fvDAh0poP9bNduNmu8vNuqiCe1r3lrOVlZWgLpJIjKU+mpKhKAspEyxOresyDTB0Gv9Pj05XMCVGUsccNWO7N23+35NsHG3OHG3+pCOccx6DOYNtW2l9GHg2IpSKo52rlZUnZYKjC9K4wIptlHXMEzk7ulmjb06UuZqb6bpztd7hygne3Q8nMfP17cPg3Ou0/pOd5hZV10PNzJn6NGqHq6++tSm2f1u9x7P+x35/N9PZDXDU+vrJATeCgyTVYk31hU30+qrxN0yLojK0ubK8uWwarJnKZq5GUhUGQvMhKAzSyVa7QR2kScQbfJrVJ5aazrkEqbo7GGY6mxGUUue4UiZpkTf56RRdFJnAyj/BD1/g9A0qmGjPDyovqgy9Pu8j9HzqlrNq0QExA58ZEBP6TEhM5DMRMeAzQMzQZ4bExD4TEzPymRExic8kxHz2mc/E3PnMHTGpz6RTI+MqE4nEiMWP7dGjPuzsDi6Lz2OpRFTkv1RCfwBFOT7qk8fbGJE1vnPfd053LXymIKb0mZKYLz7zhZjKZypipM9IYpTPKGLGPjMmpvaZmph7n7kn5sFnHoh59JlHYr76zNepLfNcAGBmLmbHe90EycSG0mDIwmY2bjWyUeJaGJvxjOPwgGAWG3VIMAuMOiKYRUUNBLOQqIcEs3ioY4JZMNQjglkk1GOCWRjUnwlmMVDfEcwCoE4JThmcEZwxmC00X+GCYCbmuiSYKbn+QjCTcV0RzDRcS4Il31SCVfeacOnWBDPd1vcEM9HWDwQzxdaPBDO51l8JdlrdTkE/yDKf9qoO3YIVXee5DFZ5nSczWPl1ns1gNdh5OoMVYuf5DFaNnSc0WEl2ntFgddl5SiP35DkNVqGdJzVYmXae1WC12j6tHZf5XMa5J09isNLtPIvB6rfzNAYr4s7zGKySO09ksHLuPJPBarrzVAYr7M5zGay6O09msBLvPJvB6rzzdAYr9s7zGazinz6hMRaqJJxVKNk6xcc6hU22QfAGgzcJ3mTwFsFbDN4meJvBOwTvMPgdwe8YvEvwLoP3CN5j8HuC3zN4n+B9BvcI7jH4gOADBh8SfMjgI4KPGHxM8DGDTwg+YfApwacMPiP4jMHnBJ8z+ILgCwZfEnzJ4CuCrxh8TfA1g28IvmHwLcG3Tx+vvujAqo5pdJ3p10iPcRuc2/S5Tc5t+dwW57Z9bptzOz63w7l3PveOc7s+t8u5PZ/b49x7n3vPuX2f2+dcz+d6nDvwuQPOHfrcIeeOfO6Ic8c+d8y5E5874dypz51y7sznzjh37nPnnLvwuQvOXfrcJeeufO6Kc9c+d825G5+74dytzznZX/ISov4K5nMEfnZ9NetbFzlM3OdZh2VjC/UzShqzmljjfj1cNzBDBhahOsRUIYhQ9WFqD0So5qibkVClYeoMRKi+MNUFIlRVmJoCEaolTCWBCFUQpn5AhOoGUzUgQtWCqRUQSdk6WIQqA1MXIJKz9bMIVQGmBkCEcr/J/IhQxjf5HhHK8ybLIyLZgluEcnrdbAvblNoilL9N9kaEsrbJ2YhQrjaZGhHK0CY/I9JVjfplaB2k5Ujvt/k9U2A9aMRhdOFA+qhFTyYaKg2yQaR72AsiigxijZvfBBtJajk6AB0igv8TJJM4013Nb4KdcBvRziYymfDxT7RYnYViDclCoUZsUhP7pZa1UKBDslCcMVkozBFZOFw2VhTkZ7JQjHdsbSZahLOZT7QAnYWLyVYRxVewJZlo0TkLRfeFLBRcxVZqooU2W6CJFpmzcKHZMqPAarJQXPdkobAeyEJRPZKFgvo6bb7zwjz7YHGTY1FnlFtNZkWEMqrJp4hQHjVZFBHKniZ3DjKWM03GRIQypcmTiFB+NNkREcqKJiciQrnQZEJEKAOa/IcI5T2T9RChbGdyHSKU40yGQ4Qym8lriFA+M9kMEcpiJochQrnLZC5EKGOZfIUI5SmTpRCh7GRyk/2+1iGXE/dNrUOuLEL5x2QfRCjrmJyDCOUak2kQuWU7SHlhwNNCdjxqDuI+XrHVc6GvmV4T/rPJNTGsuTMbx0ZF55BL/YbGFoRpUAGKarSuTyC8oy325DDRj0ohD4soyWN0FoxTjcjh7DqbTqR+ynsG6ikHgyKNfsrN4GGKQdh+Ups33x6bvNn4M0+pm6kpW1/mkqlfbTiM9K82HUYRoLYcRjGgth1GUaB2HEZxoN45jCJB7TqMYkHtOYyiQb13GMWD2ncYRYTqOYxiQh04jKJCHTqM4kIdOYwiQx07jGJDnTiMokOdOoziQ505jCJEnTuMYkRdOIyiRF06jOJEXTmMIkVdO4xiRd04jKJF3TrMVmQo5HdVUI4sG7vPuaH3cSPeYDDpIt5kMEkj3mIwqSPeZjAJJN5hMGkkfsdgkkm8y2BSSrzHYBJL/J7BpJd4n8EkmbjHYFJNfMBgEk58yGDSTnzEYJJPfMxgUlB8wmASUXzKYNJRfMZgklJ8zmBSU3zBYBJUfMlg0lR8xWCSVXzNYFJWfMNgEld8y2BX8Z+Zt4c0LWdPUQZMXHKDUNKW3CSUpCW3CDXKeiG2zDcZYwkiEBKUwFunEIntZTGAMNC4GiVS3BfjNEIILRDSfO+BteS4EvqVuiJFR/p9F3gosbY0X+a6r9R36I6kTvmOUBKn3CWUtCn3CCVpyveEkjLlPqEkTNkjlHQpDwglWcpDQkmV8ohQEqU8JpQ0KU8IJUnKU0JJkfKMUBKkPCeU9CgvCCU5yktCSY3yilASo7wmlLQobwglKcpbQmePXHKs+8B8hAjsw5amCASqAHp+8a/Lw3WyUKobZKFEN8lCaW6RhYfdNlkooh2yUDzvyELR7JKFYtkjC0XyniwUxz5ZKIoeWSiGA7JQBIdk4eYfkYWbfkwWbvYJWbjJp2Th5p6RhZt6ThZu5gVZuImXZOHmXZGFm3ZNFm7WDVm4Sbfsfk2l1VRZesuAb5myFRceKTp+zVuyGMQWXTZvLRZjJbDcEfeY0kqo/IIIqCLyqqHm9mqmAdNwrhAEUy5Bq14CUzBBq2ICUzJBq2YCUzRBq2oCUzZBq24CUzhBq3ICUzpBq3YCUzxBq3oCUz5Bq34CU0BBq4ICU0JBq4YCU0RBq4oCU0ZBq44CU0hBq5ICU0pBq5YCU0xBq5oCU05Bq54CU1BBq6ICU1JBq6YCU1RBq6oCU1ZBq64CU1hBq7ICU1pBq7YCU1xBq7oCU15Bq74CU2ABq7DwkwKmHFWNQYzzCKr0Ub+0FAUqEDHkUGG20XYiUemDsU497dePsel0Un6a9KtsYgyT+LRXyMqkSkLzui/1n707OHg06c68BqJvgvmx5du9ITIKFH5S92/htTzmLY+nXYPJigjSb03ENJjNxFpz92kaHX+rUamSNIKmZd8Ys9HPeuAxoYpwFEj9snowVoX5BAWVN8LWC6ylbTMbY9NlfgAReO2s2dGuQgIPHdfOmqiF0DxD8xunQZkGIdAfLfQaYCpeiObaX97F1vvFs4y33R5IT7KXdnpt9nTKc3vr1MxKtsYtMq2m7rmbT1QQT2dP0tpUqGiO2kqGCVRt17IYqix4oJYOaLfDZFGYl5jsQ7Z5L2U61rP/qp8E+Ox+b8rfYNrvzW2gfrfbe9G77V/hr6DCva8K1vJsbgM2i5pobWiBXhXpsAoy/UBqdF9UWKDK4FGK570fXz/Xb++YPwYZ5/YtVFni/kvz9tjzPqQpa+MeiL4QG5gAMeRz/d8jxjtk+i02XQVbp6y1foW0GMcmZ5qiOFGwbNzLQkQFaHf3yV1SQpQEq61XkIsqS/XD++mk9+OraQdZ5KC5tS5O3Zt+r7u4UjNlB2O00Puxn+RD9dgOnTLQf+mAu3wc6GA5AzxrZRCDSHKRF01Br+BhVWyOCqmXp9AFYDgSW/jZN4dfSjEoirvVRe9xzlGpT+ei+hVqvIrNAPB3f1lffauhPidtQ7zqdmnUis3M/0+0OEdBnes3/FJQ/WCAcZYW94MKgrtP3y2ttf8Oaf7i8vXq2r+uvjl5s/T7jeZvlH6+8I8L/7TwcmFt4d8Wfr+wu3C8cLEQPvvVs+NnN89u3/7x7X++/a+3/22b/uxZ0+cfFryft//zv3Rq7Ro=</latexit> r · rp(x, t + t) = 1 t r ·  u t ✓ u · ru 1 Re r · ru ◆ (x, t) <latexit 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</latexit> u(x, t + t) = u(x, t) rp(x, t + t) t 'SBDUJPOBMTUFQ๏ʹΑΔ൒ӄղ๏Ͱ࣌ؒΛ཭ࢄԽ <latexit sha1_base64="xWESYmzm4eX6Yz6T9qSk5WEzHrM=">AAA3Y3iclVvZctxKcuWVtzHHy71jvzkcUWFKdySbpEVJMfKD7RiuIsXmvkpqSYFGZ6MhYhOqGiSFaf+n3+3/cFYVqjMLDep6GCERdU5WopaTldlocFAksVTPn//3D4/+5E//7M//4ld/ufjrv/rrv/nbH3/6zaXMJ2UIF2Ge5OX1IJCQxBlcqFglcF2UEKSDBK4GN5uav6qglHGenav7Aj6mQZTFozgMFEKff/rhf/pHKUSB+LkvJwMJSvTTQI0Hg/p0+uml+Fn8vNjvL/aLYTwa1f1qMq3VVPz8H2JFPMWW6IfDHLtkwSAJngmN/Ivoj8ogrNemtfFUpvUpTKeNjdfB2K+4RoE3cz3iDDvothmbGYHXHfvhGJ5/v0c1wSHeLQsl0PSZ7oDQZ+oQq6k2ePZLXto9t6asR+56FEGp4iBpujJj48UtyQu0TmCknrr55CpOQTYr14E++3Qu+mUcjZVe3syMZZDWz/+YMRxOP/+49Hz1ufkR8xdrzcXSQvNz/PmnV6P+MA8nKWQqTAIpP6w9L9THWt8gTAAnNZFQBOFNEMEHvMwCHO/H2uhxKp4gMhSjvMR/mRIG5T3qIJXyPh2gpR6ibHMa7OQGqXfn+l77l63RqNG/fcSdLCYKstAOZjRJhMqFDgAxjEsIVXKPF0FYxjgfEY4D3B+FYeJ5V/HNN/9+ekQqzxP/lnUVlLfxEMfsobgb8iYufNCukAfddWD61ivhEMEMbsM8TYNsWPd1EE4/vPhYWz0NxRJKCv9/gfElnuTlMM6CUk9sNIISdw614DsoWh5mitGOqIH+/H5xNuuobyr+VZi74k3jbEUfPeL/cXPcEro93Rid8Tsznw592OVEB/GHNfQ3C4YPS2sfzXJoTtzGaizk10lQghjgjG9ASd9FoOyAdFSu6uHYaPvD53p+GYaQ4Hq3QDkpCjOGT/XTpbVn7T54qhp2Fo241C2TC1x7jOmLNn5p8UvEnwiPAcvA/D4VZU7z+XeczzIuajOn/5zzcxmUdvmasem26dmvaSn68/ff9nptd/fxl3kgbR9t+Qe2ztPFxcUn+kccbl+Jg/XzXbG1vbN3uHe+d3R4Jgy12HVALONvE/7L+lTAER4E5Y2QGNuY2KTIRyIMCnutT6ISUENlnEX6IBjGVSyd2SiOJiW0ZIGgHum0xsVOxdMeXs9tLdqEqEoondWmaXXZmbk6s1NznHdYqbxwNud50WUxyJXKU2e0YVpzds28A2cWPGQxcBaDhyxCZxE+ZDF0FkNtgduwi7NL9AxFINBeH7QwwnAeClyb1PeB1xo0ykBFj4QJDu1lx2yK3TU8xmFZJPktlCsh1jqrixiJI7OsMFpaq+0G/lcfWza6urrjcGMVJKtiB8UgFR4teu+l3jHkrccd53Gn7dHQ6jZ391x60dwVk3RjJHBGTeOF64EHz5C6LL1cejXXbXnWx1295K5ememcWVV/dzlQ+XbwTQh469HhwC2I7X3mep919D51vUwSvc1nUbY6Wxh7d2lWZhaDDyxN2+G4BGi7ZP6WXs57pFVjvl/O+w4yAbgJunPHksFXO2dn8vCkPT944EMptB/rZrtxs93lZl2UwS2te8vZyspKUOXxUEykPprikShyKWOs3q3rIgkwdBr/D49OVzAFRlLHHDVjuzc2f/QkG0ebM0ebv+gI55xFYM5gayutDwPPRoRScbRztbLyoExwdEES5VixjdOOeSJnRzcz+u5Emau5ma47V+sdrpzg3f1wEjNf3z8Mzr1O67/YaW5RdT3UzJypT6N2uPrqe5ti+7fVezzrf+z3dzOd3QBHra8fHHAjOIgTLdZEX9hEr68af6Mkz0tDmyvLm8vGYM1UNnM1kioxEJqPlGGQ4OeqlkEVJPGQG3ye1SeWms65BKm6OxhmOpsRFFLnuELGCX7UsvnpFF3kqcDKP8aPbOD0DSqotec7leVlil4f9xF6PHXLWbbogJiBzwyICX0mJGboM0NiwGeAmJHPjIiJfCYiZuwzY2Jin4mJ+eIzX4i58ZkbYhKfSaZGxmUqYokRW0IwvNeHnd3BZfFlIpUY5tlvldAfQFGO9/rk8TZGpI3vzPed0V1zn8mJKXymIOarz3wlpvSZkhjpM5IY5TOKmInPTIipfKYi5tZnbom585k7Yu595p6Ybz7zbWrLPBcAmJnz2fFeNUFS21AajFjYzMatxjZKnIVpM55xHB4QzGKjCglmgVENCWZRUQHBLCSqEcEsHqqIYBYM1ZhgFgnVhGAWBtUXglkMVDcEswCoEoITBqcEpwxmC81XOCeYibkqCGZKrr4SzGRclQQzDVeSYMk3lWDVvSZcuhXBTLfVLcFMtNUdwUyx1T3BTK7VN4KdVrcT0A+yzKe9skO3YEXXeS6DVV7nyQxWfp1nM1gNdp7OYIXYeT6DVWPnCQ1Wkp1nNFhddp7SyD14ToNVaOdJDVamnWc1WK22T2vHpT6Xcu7BkxisdDvPYrD67TyNwYq48zwGq+TOExmsnDvPZLCa7jyVwQq781wGq+7OkxmsxDvPZrA67zydwYq983wGq/iHT2iMhTIOZxVKuk7xsU5hk24QvMHgTYI3GbxF8BaDtwneZvAOwTsMfkPwGwbvErzL4D2C9xj8luC3DN4neJ/BPYJ7DD4g+IDBhwQfMviI4CMGHxN8zOATgk8YfErwKYPPCD5j8DnB5wy+IPiCwZcEXzL4iuArBl8TfM3gdwS/Y/B7gt8/fLz6ogOrOqbRdaZfIz3GbXBu0+c2Obflc1uc2/a5bc7t+NwO59743BvO7frcLuf2fG6Pc2997i3n9n1un3M9n+tx7sDnDjh36HOHnDvyuSPOHfvcMedOfO6Ec6c+d8q5M58749y5z51z7sLnLjh36XOXnLvyuSvOXfvcNefe+dw7zr33OSf7S15CVN/AfI4w3825vlWeQe0+zzosnVion1LSmNXEGvfr4aqBGTKwCNUhpgpBhKoPU3sgQjVH1YyEKg1TZyBC9YWpLhChqsLUFIhQLWEqCUSogjD1AyJUN5iqARGqFkytgEjC1sEiVBmYugCRjK2fRagKMDUAIpT7TeZHhDK+yfeIUJ43WR4RyRbcIpTTq2Zb2KZUFqH8bbI3IpS1Tc5GhHK1ydSIUIY2+RmRrmrUL0OrICnGer/N75kCq0EjDqMLB9JHLXoy0VBJkA6Guoe9ICLX3wsjbn4TbCSp5egAdIgI/k+QjKNUdzW/CXbCbUQ7m0hd8/HXWqyuhWINqYVCHbJJ1fZLLdtCgY6oheKMqIXCHFMLh8vGioL8Qi0U4w1bm1qLcDbzWgvQtXAx2Sqi+HK2JLUWnWuh6L5SCwVXspWqtdBmC1RrkbkWLjRbZhRYRS0U1y21UFh31EJR3VMLBfVt2nznhXn2zuImx6LOKLeazIoIZVSTTxGhPGqy6CBl2dPkzkHKcqbJmIhQpjR5EhHKjyY7IkJZ0eRERCgXmkyICGVAk/8Qobxnsh4ilO1MrkOEcpzJcIOUZTaT1xChfGayGSKUxUwOQ4Ryl8lciFDGMvkKEcpTJkshQtnJ5Cb7fa1DLmv3Ta1DrixC+cdkH0Qo65icgwjlGpNpEHnPdpDywoCnhfR43BzEfbxiq+dCXzO9Jvxnk2tiWHNnNo6Nis4hk/oNjS0Ik6AEFNV4XZ9AeEdb7MlRrB+VQhbmwziL0FkwSTQiR7PrdFpL/ZT3DNRDDgZ5MvwlN4O7KQZh+0lt1nx7bPJm4888pW6mpmx9mUmmfrXhMNK/2nQYRYDachjFgNp2GEWB2nEYxYF64zCKBLXrMIoFtecwigb11mEUD2rfYRQRqucwigl14DCKCnXoMIoLdeQwigx17DCKDXXiMIoOdeowig915jCKEHXuMIoRdeEwihJ16TCKE3XlMIoUde0wihX1zmEULeq9w2xFhkJ+UwbF2LKR+5wbeh83og0Gky6iTQaTNKItBpM6om0Gk0CiHQaTRqI3DCaZRLsMJqVEewwmsURvGUx6ifYZTJKJegwm1UQHDCbhRIcMJu1ERwwm+UTHDCYFRScMJhFFpwwmHUVnDCYpRecMJjVFFwwmQUWXDCZNRVcMJllF1wwmZUXvGEziit4z2FX8Z+btIU3L2VOUAROX3CCUtCU3CSVpyS1CjbKeiC3zTcZEggiEfhMTb53AUGwviwGEgcbVOJbiNp8kQ4SwBUKa7z2wlpyUQr9SlyfoSL/vAncF1pbmy1z3lfoO3ZHUKd8QSuKUu4SSNuUeoSRN+ZZQUqbcJ5SEKXuEki7lAaEkS3lIKKlSHhFKopTHhJIm5QmhJEl5SigpUp4RSoKU54SSHuUFoSRHeUkoqVFeEUpilNeEkhblO0JJivI9obNHLhnWfWA+QgT2YUtTBAJVAD2/+Nfl4Tq1UKob1EKJblILpblFLTzstqmFItqhFornDbVQNLvUQrHsUQtF8pZaKI59aqEoetRCMRxQC0VwSC3c/CNq4aYfUws3+4RauMmn1MLNPaMWbuo5tXAzL6iFm3hJLdy8K2rhpl1TCzfrHbVwk96z+zWVVlNl6S0DvmXKVlx4pOj4NW/JYhBbdNm8tZhPlH7TV9xiSiug9AsioIrIq4aa26uZBozhXCEIplyCVr0EpmCCVsUEpmSCVs0EpmiCVtUEpmyCVt0EpnCCVuUEpnSCVu0EpniCVvUEpnyCVv0EpoCCVgUFpoSCVg0FpoiCVhUFpoyCVh0FppCCViUFppSCVi0FppiCVjUFppyCVj0FpqCCVkUFpqSCVk0FpqiCVlUFpqyCVl0FprCCVmUFprSCVm0FpriCVnUFpryCVn0FpsACVmHhJwVMOaqcgJhkQyiTe/3S0jBQgYgggxKzjW7HEpU+mOjU0379GE2ndfG57pdpbRom8WmvkBZxGYfmdV/qP3t3cHBv0p15DUTfBPNjy7d7Q2QcKPyk7t/CszzmlsfTrsGk+RCS703EGMxmYltz92mMjr9nVKg4GUJj2TeN2ehnPfCYUHk4DqR+WT2YqNx8goLSG2HrBdbC2szG2HSZH8AQPDvb7LArkcBDx9nZJmohNM/QfOMkKJIgBPoTkF4DTMUT0Vz7y7vYer94lvG22wPpSfbSTq/Nnk55bm+dmmnB1rhFJuXUPXfziRKi6exJWpsKFc1Rt+JRDGXbtcxHKg3uyNIBbTtMFrl5ick+ZJv3UiQTPftv+kmAz+73pvwNpv3e3Abqd7u9F73b/hX+Ckrc+zJnlmdzG7CZV0TrhhboVZ6MyiDVD6TGt3mJBaoM7qV43Pv04rF+e8f8Mcgks2+hygL3X5q3xx73IUmYjXsg+kRsYALEkM/0f/cY75Dqt9h0FWydMmv9Cmk+iUzONEVxrGDZuJe5GOag3d3GN3EBwzhYbb2CnJdpoh/eT+vep+fTDjLPQHNrXZy6Nf1edHGFZooOxmih96kfZyN13w6dItB/6YC7fBzoYDkDPGtlEIGIM5HlTUGv4G5VbI5zqZcn1wVgOBZb+Nk3g99KMcjzm9VF73HOUaFP57z8Z9R4GZkB4O/+sr76nqE+J60hXnW7NGpFM/P/AxbnKKhz/YZfAqofDDDOkvx2UEJw8/nHpbX23yHNX1y+WF373eqrk1dLv99o/kbpVwv/sPBPC08X1hZeL/x+YXfheOFiIXy0/+jro2+P6t/97+tfv/7N67+3po9+aPr83YL38/of/w/mSEsc</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0
  43. ਺஋࣮ݧ ඇѹॖੑྲྀΕ ख๏  <latexit sha1_base64="HShUq+EErd8QR3+dAGh5yeG/6Zg=">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</latexit> r · rp(x, t

    + t) = 1 t r ·  u t ✓ u · ru 1 Re r · ru ◆ (x, t) <latexit sha1_base64="nSHTpHoK5GOEarrOOngO3YEMG0g=">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</latexit> u(x, t + t) = u(x, t) rp(x, t + t) t ϝογϡͰۭؒΛ཭ࢄԽ *TP($/Ͱۭؒඍ෼Λۙࣅ <latexit sha1_base64="a04+wcNcLMVw5YGSstbb5NZWLJY=">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</latexit> u(x, t + t) = u(x, t) IsoGCN0!1[p(x, t + t)] t Solve : IsoGCN1!0 IsoGCN0!1[p(x, t + t)] GCN1!2[u] 1 Re IsoGCN1!0 IsoGCN0!1[u] ◆ Solve : IsoGCN1!0 IsoGCN0!1[p(x, t + t)] oGCN1!2[u] 1 Re IsoGCN1!0 IsoGCN0!1[u] ◆ <latexit sha1_base64="56Os2oAFMKIYOzV8SnlWZJcU+WY=">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</latexit> Solve : IsoGCN1!0 IsoGCN0!1[p(x, t + t)] = 1 t IsoGCN1!0  u t ✓ u · IsoGCN1!2[u] 1 Re IsoGCN2!1 IsoGCN1!2[u] ◆ (x, t) <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">AAA3MniclVvZctzIcuXoermmt5nrN/ulwpTmamySFiWF7AfbMdxJsbmIu6SWFGh0NhoiNqGqQVK47Z+yf8Z+c/jVH+GsKlRnFhrU+DJCIvKcqkQtJyuz0eCgSGKpnj37z+8e/eoP/vCP/vjXf7L4p3/253/xl9//8JtLmU/KEC7CPMnL60EgIYkzuFCxSuC6KCFIBwlcDW42NX9VQSnjPDtX9wV8SIMoi0dxGCiEPv3w3b/3j1OIAvFjX04GEpTop4EaDwb16fTjC/Gj+HGx31/sF8N4NKr71WRaq6n48V/EiniKluiHwxy7ZMEgCX4SGvl70R+VQVivTWvjqUzrU5hOmzZeB9N+xRkF3sz1iDPsoG0zNjMCrzv2wzE8+3aPaoJDvFsWSmDTn3QHhD5Rh1hNdYOffslLu+fWlPXIXY8iKFUcJE1X1lh7eeqGn6s4Band6dXKjOtBWj/7fVweTT99v/Rs9Zn5EfMXa83F0kLzc/Lph5ej/jAPJylkKkwCKd+vPSvUh1rfIEwAxziRUAThTRDBe7zMAhzlh9rIayqeIDIUo7zEf5kSBuU96iCV8j4dYEs9RNnmNNjJDVLvzvW99i9bo1Gjf/qAG1NMFGShHcxokgiVC61nMYxLCFVyjxdBWMY4HxGOA1SgQtV73lV889W/nx6RyvPEv2VdBeVtPMQxeyjuhryJCx+0K+RBdx2YvvVKOEQwg9swT9MgG9Z9HVPT988/1DZihmIJgwb/f47hIp7k5TDOglJPbDSCEncOteA7KFoeZorRjshAf36/OJt11DcV/yDMXfGmcbaiTxLx/7g5bgndnm6MzvidmU+HPuxyomPy/Rr6mwXD+6W1D2Y5NCduYzUW8sskKEEMcMY3oKTvIlB2QAmM1KoeTr+Mo7H63ad6fhmGkOB6t0A5KQozho/106W1n9p98JA07CwacalbTS5w7TGmL9r4pcUvEX8iPAYsA/P7VJQ5zeefcT7LuKjNnP51zs9lUNrla8ambdOzX9NS9Ofvv+312u7u4y/zQNo+uuXv2DpPFxcXn+gfcbR9JQ7Xz/fE1vbO/tH++f7x0Zkw1GLXAbGMv034L+tTAUd4GJQ3QmJsY56SIh+JMCjstT6JSkANlXEW6YNgGFexdM1GcTQpoSULBPVIpzUudiqe9vB6bmuxTYiqhNK12jRWVzszV9fsVBtdrVReuDbnedHVYpArlaeu0Yax5to18w5cs+ChFgPXYvBQi9C1CB9qMXQthroFbsMezi7RMxSBwPb6oIURhvNQ4Nqkvg+81qBRBip6JExwaC87ZlPsruExDssiyW+hXAmxdFldxEgcmWWF0dJabTfw3/po2ejq6o7DjVWQrIodFINUeLTovZd6x5C3Hnecx522R0Or29zdc+l5c1dMzU0jgTNqjOeuBx48Q+qy9GLp5Vy35Vkfd/WCu3pppnNmVf3N5UDl28E3IeCtR4cDtyC295nrfdbR+9T1Mkn0Np9F2epsYezdpVmZWQw+sDRth+MSoO2S+Vt6Me+RVo35fjHvO8gE4Cbozh1LBl/snF2Thyft+cEDH0qh/Vg3242b7S4366IMbmndW85WVlaCKo+HYiL10RSPRJFLGWMxbl0XSYCh0/h/eHS6gikwkjrmqBnbvWnze0+ycbQ5c7T5i45wzlkE5gy2baX1YeDZiFAqjnauVlYelAmOLkiiHCu2cdoxT+Ts6GaNvjlR5mpupuvO1XqHKyd4dz+cxMzXtw+Dc6/T+i92mltUXQ81M2fq06gdrr761qbY/m31nsz6n/j93UxnN8BR6+sHB9wIDuJEizXRFzbR66vG3yjJ89LQ5sry5rJpsGYqm7kaSZUYCM0nxDBI8GNSq0EVJPGQN/g0q08sNZ1zCVJ1dzDMdDYjKKTOcYWME/yoZfPTKbrIU4GVf4wf1MDpG1RQa893KsvLFL0+7iP0eOqWs2zRATEDnxkQE/pMSMzQZ4bEgM8AMSOfGRET+UxEzNhnxsTEPhMT89lnPhNz4zM3xCQ+k0yNjMtUxBIjtoRgeK8PO7uDy+LzRCoxzLPfKqE/gKIc7/XJ422MSBvfme87o7vmPpMTU/hMQcwXn/lCTOkzJTHSZyQxymcUMROfmRBT+UxFzK3P3BJz5zN3xNz7zD0xX33m69SWeS4AMDPns+O9aoKktqE0GLGwmY1bjW2UuBbGZjzjODwgmMVGFRLMAqMaEsyiogKCWUhUI4JZPFQRwSwYqjHBLBKqCcEsDKrPBLMYqG4IZgFQJQQnDE4JThnMFpqvcE4wE3NVEMyUXH0hmMm4KglmGq4kwZJvKsGqe024dCuCmW6rW4KZaKs7gpliq3uCmVyrrwQ7rW4noB9kmU97ZYduwYqu81wGq7zOkxms/DrPZrAa7DydwQqx83wGq8bOExqsJDvPaLC67DylkXvwnAar0M6TGqxMO89qsFptn9aOS30u5dyDJzFY6XaexWD123kagxVx53kMVsmdJzJYOXeeyWA13XkqgxV257kMVt2dJzNYiXeezWB13nk6gxV75/kMVvEPn9AYC2UcziqUdJ3iY53CJt0geIPBmwRvMniL4C0GbxO8zeAdgncYvEvwLoP3CN5j8D7B+wx+TfBrBh8QfMDgHsE9Bh8SfMjgI4KPGHxM8DGDTwg+YfAbgt8w+JTgUwafEXzG4HOCzxl8QfAFgy8JvmTwFcFXDL4m+JrBbwl+y+B3BL97+Hj1RQdWdUyj60y/RnqM2+Dcps9tcm7L57Y4t+1z25zb8bkdzu363C7n9nxuj3P7PrfPudc+95pzBz53wLmez/U4d+hzh5w78rkjzh373DHnTnzuhHNvfO4N50597pRzZz53xrlznzvn3IXPXXDu0ucuOXflc1ecu/a5a8699bm3nHvnc072l7yEqL6C+Rxhvptzfas8g9p9nnVYOrFQP6WkMauJNe7Xw1UDM2RgEapDTBWCCFUfpvZAhGqOqhkJVRqmzkCE6gtTXSBCVYWpKRChWsJUEohQBWHqB0SobjBVAyJULZhaAZGErYNFqDIwdQEiGVs/i1AVYGoARCj3m8yPCGV8k+8RoTxvsjwiki24RSinV822sE2pLEL522RvRChrm5yNCOVqk6kRoQxt8jMiXdWoX4ZWQVKM9X6b3zMFVoNGHEYXDqSPWvRkoqGSIB0MdQ97QUSuvxdG3Pwm2EhSy9EB6BAR/J8gGUep7mp+E+yE24h2NpG65uOvtVidhWINyUKhDtmkavullrVQoCOyUJwRWSjMMVk4XDZWFORnslCMN2xtai3C2cxrLUBn4WKyVUTx5WxJai06Z6HovpCFgivZStVaaLMFqrXInIULzZYZBVaRheK6JQuFdUcWiuqeLBTU12nznRfm2TuLmxyLOqPcajIrIpRRTT5FhPKoyaKDlGVPkzsHKcuZJmMiQpnS5ElEKD+a7IgIZUWTExGhXGgyISKUAU3+Q4Tynsl6iFC2M7kOEcpxJsMNUpbZTF5DhPKZyWaIUBYzOQwRyl0mcyFCGcvkK0QoT5kshQhlJ5Ob7Pe1Drms3Te1DrmyCOUfk30Qoaxjcg4ilGtMpkHkHdtBygsDnhbSk3FzEPfxiq2eC33N9Jrwn02uiWHNndk4Nio6h0zqNzS2IEyCElBU43V9AuEdbbEnR7F+VApZmA/jLEJnwSTRiBzNrtNpLfVT3jNQDzkY5Mnwl9wM7qYYhO0ntVnz7bHJm40/85S6mZqy9WUmmfrVhsNI/2rTYRQBasthFANq22EUBWrHYRQHatdhFAlqz2EUC2rfYRQN6rXDKB7UgcMoIlTPYRQT6tBhFBXqyGEUF+rYYRQZ6sRhFBvqjcMoOtSpwyg+1JnDKELUucMoRtSFwyhK1KXDKE7UlcMoUtS1wyhW1FuHUbSodw6zFRkKebcMirFlI/c5N/Q+bkQbDCZdRJsMJmlEWwwmdUTbDCaBRDsMJo1EuwwmmUR7DCalRPsMJrFErxlMeokOGEySiXoMJtVEhwwm4URHDCbtRMcMJvlEJwwmBUVvGEwiik4ZTDqKzhhMUorOGUxqii4YTIKKLhlMmoquGEyyiq4ZTMqK3jKYxBW9Y7Cr+M/M20OalrOnKAMmLrlBKGlLbhJK0pJbhBplPRFb5puMiQQRCP1iJd46gaHYXhYDCAONq3EsxW0+SYYIoQVCmu89sJaclEK/Upcn6Ei/7wJ3BdaW5stc95X6Dt2R1Cl3CSVxyj1CSZtyn1CSpnxNKClTHhBKwpQ9QkmX8pBQkqU8IpRUKY8JJVHKE0JJk/INoSRJeUooKVKeEUqClOeEkh7lBaEkR3lJKKlRXhFKYpTXhJIW5VtCSYryHaGzRy4Z1n1gPkIE9mFLUwQCVQA9v/jX5eE6WSjVDbJQoptkoTS3yMLDbpssFNEOWSieXbJQNHtkoVj2yUKRvCYLxXFAFoqiRxaK4ZAsFMERWbj5x2Thpp+QhZv9hizc5FOycHPPyMJNPScLN/OCLNzES7Jw867Iwk27Jgs36y1ZuEnv2P2aSqupsvSWAd8yZSsuPFJ0/Jq3ZDGILbps3lrMJ0q/6StuMaUVUPoFEVBF5FVDze3VTAOm4VwhCKZcgla9BKZgglbFBKZkglbNBKZoglbVBKZsglbdBKZwglblBKZ0glbtBKZ4glb1BKZ8glb9BKaAglYFBaaEglYNBaaIglYVBaaMglYdBaaQglYlBaaUglYtBaaYglY1BaacglY9BaagglZFBaakglZNBaaoglZVBaasglZdBaawglZlBaa0glZtBaa4glZ1Baa8glZ9BabAAlZh4ScFTDmqnICYZEMok3v90tIwUIGIIIMSs422Y4lKH0x06mm/foxNp3Xxqe6XaW0Mk/i0V0iLuIxD87ov9Z+9Ozi4N+nOvAaib4L5seXbvSEyDhR+Uvdv4bU84S1Ppl2DSfMhJN+aiGkwm4m15u7TNDr5VqNCxckQmpZ9Y8xGP+uBx4TKw3Eg9cvqwUTl5hMUlN4IWy+wFrbNbIxNl/kBDMFrZ82OdiUSeOi4dtZELYTmGZrfOAmKJAiB/qKj1wBT8UQ01/7yLrbeL55lvO32QHqSvbTTa7OnU57bW6dmWrA1bpFJOXXP3XyihGg6e5LWpkJFc9RWPIqhbLuW+UilwR21dEC7HSaL3LzEZB+yzXspkome/Vf9JMBnD3pT/gbTQW9uA/W73d6L3m3/Cn8FJe59mbOWZ3MbsJlXRGtDC/QqT0ZlkOoHUuPbvMQCVQb3UjzufXz+WL+9Y/4YZJLZt1Blgfsvzdtjj/uQJKyNeyD6RGxgAsSQz/R/9xjvkOq32HQVbJ2y1voV0nwSmZxpiuJYwbJxL3MxzEG7u41v4gKGcbDaegU5L9NEP7yf1r2Pz6YdZJ6B5ta6OHVr+j3v4grNFB2M0ULvYz/ORuq+HTpFoP/SAXf5JNDBcgZ41sogAhFnIsubgl7B3arYHOdSL0+uC8BwLLbws28Gv5VikOc3q4ve45zjQp/Oefl3qPEyMgPA3/1lffWthvqctA3xqtulUSs2M/8/0OIcBXWu3/BLQPWDAcZZkt8OSghuPn2/tNb+O6T5i8vnq2uvVl++ebn080bzN0q/Xvibhb9deLqwtvCPCz8v7C2cLFwshI/++tHPj/YfvX71H6/+69V/v/of2/TRd02fv1rwfl797/8BKSo75g==</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit sha1_base64="xWESYmzm4eX6Yz6T9qSk5WEzHrM=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 'SBDUJPOBMTUFQ๏ʹΑΔ൒ӄղ๏Ͱ࣌ؒΛ཭ࢄԽ
  44. ਺஋࣮ݧ ඇѹॖੑྲྀΕ طଘख๏ͱͷൺֱ  • ఏҊख๏͸ 
 ೖྗΛճసͤͯ͞΋ 
 ༧ଌ݁Ռ͕ྼԽ͠ͳ͍

    ➡ ෺ཧݱ৅ͷରশੑ͕ 
 ൓ө͞Ε͍ͯΔ ਺஋ղੳ݁Ռ ਖ਼ղ 1&// ೖྗσʔλΛճస ྲྀ଎ϊϧϜ .11%& [Brandstetter et al. ICLR. 2022]
  45. 10°4 10°3 10°2 10°1 100 Total MSE 100 101 102

    103 Total time [s] PENN (Ours) MP-PDE MP-PDE (Trans.) OpenFOAM .11%& 1&// #FUUFS #FUUFS .11%& SPUBUFEJOQVU • ਺஋ղੳख๏ 0QFO'0".  
 ϝογϡ΍࣌ؒࠁΈͷ 
 ղ૾౓Λௐઅ • 1&//ػցֶशϞσϧͷ 
 ύϥϝʔλΛௐઅ ਺஋࣮ݧ ඇѹॖੑྲྀΕ طଘख๏ͱͷൺֱ  ਺஋ղੳ 0QFO'0".
  46. 10°4 10°3 10°2 10°1 100 Total MSE 100 101 102

    103 Total time [s] PENN (Ours) MP-PDE MP-PDE (Trans.) OpenFOAM 1&// #FUUFS #FUUFS • ਺஋ղੳख๏ 0QFO'0".  
 ϝογϡ΍࣌ؒࠁΈͷ 
 ղ૾౓Λௐઅ • 1&//ػցֶशϞσϧͷ 
 ύϥϝʔλΛௐઅ Δt = 0.005 Δx = 0.011 Δt = 0.010 Δx = 0.022 nhidden:&ODPEFSͷຒΊࠐΈ࣍ݩ niter: ඇઢܗιϧόͷ൓෮ճ਺ .11%& .11%& SPUBUFEJOQVU ➡ 1&//Ͱ͸طଘख๏ʹ 
 ݟΒΕΔਫ਼౓ɾ଎౓ͷ 
 τϨʔυΦϑΛվળ͍ͯ͠Δ Δt = 0.010 Δx = 0.044 Δt = 4.0 Δx = 0.044 nhidden = 16 niter = 8 Δt = 4.0 Δx = 0.044 nhidden = 8 niter = 4 Δt = 4.0 Δx = 0.044 nhidden = 4 niter = 4 ਺஋࣮ݧ ඇѹॖੑྲྀΕ طଘख๏ͱͷൺֱ  ਺஋ղੳ 0QFO'0".
  47. ໨࣍  • ਺஋࣮ݧ IUUQTPQUJNBMVWBOMCJOBSJFT@IU@FYUSBMBSHF DPOUFOUHBMMFSZTVCTJUFTPQUJNJ[BUJPOGPSBOEXJUINBDIJOF MFBSOJOHPQUJNBMHSBEJFOUEFTDFOUPQUJNBMKQH <latexit sha1_base64="ZaUbh7AbmMfYb58mjjk2qvUCI+4=">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</latexit> @⌦Dirichlet

    <latexit 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</latexit> @⌦Neumann • ػցֶशͱ૬ੑͷΑ͍ 
 ڥք৚݅ॲཧख๏ͷ։ൃ • ࣌ؒൃలΛӄతʹղ͘ 
 ඇઢܗιϧόͷ׆༻ • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻
  48. • ෺ཧݱ৅ͷରশੑΛ൓өͤ͞ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 *TP($/[Horie et al. ICLR. 2021]ͷ׆༻

     ྲྀ଎ϊϧϜ ਺஋ղੳ݁Ռ ఏҊख๏ 1IZTJDT&NCFEEFE/FVSBM/FUXPSL 1&//  ਺஋ྲྀମղੳ݁ՌΛ൚༻ੑߴ͘ߴ଎ɾߴਫ਼౓ʹ༧ଌͰ͖Δ 
 ػցֶशϞσϧ͕࣮ݱͨ͠[Horie and Mitsume. NeurIPS. 2022] ݚڀͷ֓ཁ݁Ռͷ·ͱΊ • ػցֶशͱ૬ੑͷΑ͍ 
 ڥք৚݅ॲཧख๏ͷ։ൃ • ࣌ؒൃలΛӄతʹղ͘ 
 ඇઢܗιϧόͷ׆༻ [Horie and Mitsume. NeurIPS. 2022] Masanobu Horie and Naoto Mitsume. Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions. In Advances in Neural Information Processing Systems, 2022. 10°4 10°3 10°2 10°1 100 Total MSE 100 101 102 103 Total time [s] PENN (Ours) MP-PDE MP-PDE (Trans.) OpenFOAM ਺஋ղੳ 0QFO'0". 1&//