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三维椭圆型问题虚元法的最优最大范数估计

IF 2.5 2区 数学 Q1 MATHEMATICS, APPLIED
Computers & Mathematics with Applications Pub Date : 2025-08-26 DOI:10.1016/j.camwa.2025.08.011
Wenming He , Ren Zhao
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引用次数: 0

摘要

本文在适当的局部光滑假设下，导出了三维椭圆型问题的虚元法的最优最大范数估计。最后，用数值算例验证了我们在四面体和多面体网格上的主要结果。
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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Optimal maximum norm estimates of virtual element methods for elliptic problem in three dimensions
In this article, we derive the optimal maximum norm estimates for virtual element methods for elliptic problems in three dimensions under suitable local smoothness assumption of the solution. Finally, numerical examples are used to investigate our main results on tetrahedral and polyhedral meshes.
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来源期刊
Computers & Mathematics with Applications
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).
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