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タイトル: | Error estimate for structure-preserving finite difference schemes of the one-dimensional Cahn-Hilliard system coupled with viscoelasticity (Regularity and Asymptotic Analysis for Critical Cases of Partial Differential Equations) |
著者: | Shimura, Kazuki Yoshikawa, Shuji |
著者名の別形: | シムラ, カズキ ヨシカワ, ショウジ |
キーワード: | 35K60 65M06 65M12 65M15 finite difference methods structure-preserving phase separation viscoelasticity |
発行日: | Jun-2020 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B82 |
開始ページ: | 159 |
終了ページ: | 175 |
抄録: | In this article we give an observation for the solution to the Cahn-Hilliard system coupled with viscoelastic equation in one-space dimension, through the numerical analysis of the system. We shall introduce an example of structure-preserving finite difference scheme for the system and give a proof of the error estimate between the strict solution and solution for the finite difference scheme. |
記述: | Regularity and Asymptotic Analysis for Critical Cases of Partial Differential Equations. May 29-31, 2019. edited by Takayoshi Ogawa, Keiichi Kato, Mishio Kawashita and Masashi Misawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/260682 |
出現コレクション: | B82 Regularity and Asymptotic Analysis for Critical Cases of Partial Differential Equations |

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