A Hodge Decomposition Finite Element Method for the Quad-Curl Problem on Polyhedral Domains

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Scientific Computing Pub Date : 2024-08-01 DOI:10.1007/s10915-024-02626-x

Susanne C. Brenner, Casey Cavanaugh, Li-yeng Sung

引用次数: 0

Abstract

We design a finite element method for the quad-curl problem on three dimensional Lipschitz polyhedral domains with general topology that is based on the Hodge decomposition for divergence-free vector fields. Error estimates and corroborating numerical results are presented.

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多面体域上四曲面问题的霍奇分解有限元法

我们为具有一般拓扑结构的三维 Lipschitz 多面体域上的 quad-curl 问题设计了一种有限元方法，该方法基于无发散向量场的霍奇分解。文中给出了误差估计和确证的数值结果。

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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来源期刊

Journal of Scientific Computing 数学-应用数学

CiteScore

4.00

自引率

12.00%

发文量

302

审稿时长

4-8 weeks

期刊介绍： Journal of Scientific Computing is an international interdisciplinary forum for the publication of papers on state-of-the-art developments in scientific computing and its applications in science and engineering. The journal publishes high-quality, peer-reviewed original papers, review papers and short communications on scientific computing.