An Lp-DPG Method with Application to 2D Convection-Diffusion Problems

被引：3

作者：

Li, Jiaqi ^{[1
]}

Demkowicz, Leszek ^{[1
]}

机构：

[1] Univ Texas Austin, Oden Inst Computat Engn & Sci, 201 E 24th St, Austin, TX 78712 USA

来源：

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2022年 / 22卷 / 03期

基金：

美国国家科学基金会;

关键词：

Discontinuous Petrov-Galerkin Methods; Residual Minimization; Banach Spaces; Convection-Dominated Diffusion; Fortin Operators; p(center dot)-Laplacian; NONLINEAR PETROV-GALERKIN; FINITE-ELEMENT-METHOD; SPACES;

D O I：

10.1515/cmam-2021-0158

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article summarizes the L-p-DPG method presented in [18], where only 1D convection-diffusion problems are solved. We apply the same computational techniques to 2D convection-diffusion problems and report additional numerical results herein. Furthermore, we propose an L-p-DPG method with variable p and illustrate it with numerical experiments.

引用

页码：649 / 662

页数：14

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