Discontinuous Galerkin methods for magnetic advection-diffusion problems

被引：1

作者：

Wang, Jindong ^{[1
]}

Wu, Shuonan ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2024年 / 174卷

基金：

中国国家自然科学基金;

关键词：

Discontinuous Galerkin; Magnetic advection-diffusion; Degenerate Friedrichs system; Upwind scheme; Inf-sup condition; FINITE-ELEMENT-METHOD; RESIDUAL-FREE BUBBLES; STABILIZED GALERKIN; UNIFIED ANALYSIS; TRANSPORT; APPROXIMATIONS; CONVERGENCE; SCHEME; FLOWS;

D O I：

10.1016/j.camwa.2024.08.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We devise and analyze a class of the primal discontinuous Galerkin methods for magnetic advection-diffusion problems based on the weighted-residual approach. In addition to the upwind stabilization, we explore some terms related to convection under the vector case that provides more flexibility in constructing the schemes. Under a degenerate Friedrichs system, we show the stability and optimal error estimate, which boil down to two ingredients - the weight function and the special projection - that contain information of advection. Numerical experiments are provided to verify the theoretical results.

引用

页码：43 / 54

页数：12

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