涉及界面的双谐波偏微分方程的Nitsche扩展非协调虚元法

IF 2.5 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2025-05-22 DOI:10.1016/j.camwa.2025.05.016

Guodong Ma , Jinru Chen , Feng Wang

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引用次数: 0

摘要

本文提出了一种扩展的Nitsche非协调虚元法，用于离散具有更一般界面条件的双谐波偏微分方程。通过在界面单元的切割边和未切割边上引入一些特殊的术语，证明了该方法的适定性和最优收敛性与界面相对于网格的位置和材料参数商无关。最后通过数值实验对理论结果进行了验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Nitsche's extended nonconforming virtual element method for biharmonic PDEs involving interfaces

In this paper, a Nitsche's extended nonconforming virtual element method is presented to discretize biharmonic PDEs involving interfaces with a more general interface condition. By introducing some special terms on cut edges and uncut edges of interface elements, we prove the well-posedness and optimal convergence, which are independent of the location of the interface relative to the mesh and the material parameter quotient. Finally, numerical experiments are carried out to verify theoretical results.

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).