A Potential-Robust WG Finite Element Method for the Maxwell Equations on Tetrahedral Meshes

Yufeng Nie; Xiu Ye; Shangyou Zhang

doi:10.1515/cmam-2024-0144

A Potential-Robust WG Finite Element Method for the Maxwell Equations on Tetrahedral Meshes

Yufeng Nie
, Xiu Ye
, Shangyou Zhang

数学与统计学院

University of Arkansas at Little Rock
University of Delaware

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

A potential-robust WG (weak Galerkin) method is introduced for the Maxwell equations. We obtain potential/magnetic-permeability independent error estimates. Optimal-order convergence rates are proved in both the energy norm and the L2 norm. Numerical examples verify the theory.

源语言	英语
页（从-至）	949-960
页数	12
期刊	Computational Methods in Applied Mathematics
卷	25
期	4
DOI	https://doi.org/10.1515/cmam-2024-0144
出版状态	已出版 - 1 10月 2025

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10.1515/cmam-2024-0144

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title = "A Potential-Robust WG Finite Element Method for the Maxwell Equations on Tetrahedral Meshes",

abstract = "A potential-robust WG (weak Galerkin) method is introduced for the Maxwell equations. We obtain potential/magnetic-permeability independent error estimates. Optimal-order convergence rates are proved in both the energy norm and the L2 norm. Numerical examples verify the theory.",

keywords = "Finite Element, Maxwell Equations, Potential Robust, Tetrahedral Meshes, Weak Galerkin",

author = "Yufeng Nie and Xiu Ye and Shangyou Zhang",

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T1 - A Potential-Robust WG Finite Element Method for the Maxwell Equations on Tetrahedral Meshes

AU - Nie, Yufeng

AU - Ye, Xiu

AU - Zhang, Shangyou

PY - 2025/10/1

Y1 - 2025/10/1

N2 - A potential-robust WG (weak Galerkin) method is introduced for the Maxwell equations. We obtain potential/magnetic-permeability independent error estimates. Optimal-order convergence rates are proved in both the energy norm and the L2 norm. Numerical examples verify the theory.

AB - A potential-robust WG (weak Galerkin) method is introduced for the Maxwell equations. We obtain potential/magnetic-permeability independent error estimates. Optimal-order convergence rates are proved in both the energy norm and the L2 norm. Numerical examples verify the theory.

KW - Finite Element

KW - Maxwell Equations

KW - Potential Robust

KW - Tetrahedral Meshes

KW - Weak Galerkin

UR - https://www.scopus.com/pages/publications/85217968143

U2 - 10.1515/cmam-2024-0144

DO - 10.1515/cmam-2024-0144

M3 - 文章

AN - SCOPUS:85217968143

SN - 1609-4840

VL - 25

SP - 949

EP - 960

JO - Computational Methods in Applied Mathematics

JF - Computational Methods in Applied Mathematics

IS - 4

ER -

A Potential-Robust WG Finite Element Method for the Maxwell Equations on Tetrahedral Meshes

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