A discontinuous Galerkin least-squares method for div-curl systems

被引：2

作者：

Ye, Xiu ^{[1
]}

Zhang, Shangyou ^{[2
]}

Zhu, Peng ^{[3
]}

机构：

[1] Univ Arkansas, Dept Math, Little Rock, AR 72204 USA

[2] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

[3] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 367卷

基金：

美国国家科学基金会;

关键词：

Discontinuous Galerkin finite element methods; Least-squares; Div-curl problems; Polyhedral meshes; FINITE-ELEMENT-METHOD;

D O I：

10.1016/j.cam.2019.112474

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A discontinuous Galerkin (DG) least-squares finite element method is developed for solving a div-curl problem. This finite element method leads to a simple symmetric positive definite system and can work on a general polytopal mesh. Optimal convergence rate in the energy norm is established. The numerical results confirm the proposed theory. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：10

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