三维Maxwell特征值问题拉格朗日有限元方法的收敛性

IF 2.3 2区数学 Q1 MATHEMATICS, APPLIED

IMA Journal of Numerical Analysis Pub Date : 2023-10-14 DOI:10.1093/imanum/drad053

Daniele Boffi, Sining Gong, Johnny Guzmán, Michael Neilan

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引用次数: 0

摘要

我们使用二次或更高拉格朗日有限元在三维Worsey–Farin分裂上证明了Maxwell特征值问题的收敛性。为此，我们构造了两个类Fortin算子来证明相应源问题的一致收敛性。我们用数值实验来说明理论结果。

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Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D

We prove convergence of the Maxwell eigenvalue problem using quadratic or higher Lagrange finite elements on Worsey–Farin splits in three dimensions. To do this, we construct two Fortin-like operators to prove uniform convergence of the corresponding source problem. We present numerical experiments to illustrate the theoretical results.

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来源期刊

IMA Journal of Numerical Analysis 数学-应用数学

CiteScore

5.30

自引率

4.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The IMA Journal of Numerical Analysis (IMAJNA) publishes original contributions to all fields of numerical analysis; articles will be accepted which treat the theory, development or use of practical algorithms and interactions between these aspects. Occasional survey articles are also published.