A primal DPG method without a first-order reformulation

被引：42

作者：

Demkowicz, L. ^{[1
]}

Gopalakrishnan, J. ^{[2
]}

机构：

[1] Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA

[2] Portland State Univ, Portland, OR 97207 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 66卷 / 06期

基金：

美国国家科学基金会;

关键词：

Primal hybrid; Discontinuous; Petrov-Galerkin; DPG; Laplacian; Least squares;

D O I：

10.1016/j.camwa.2013.06.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that it is possible to apply the DPG methodology without reformulating a second-order boundary value problem into a first-order system, by considering the simple example of the Poisson equation. The result is a new weak formulation and a new DPG method for the Poisson equation, which has no numerical trace variable, but has a numerical flux approximation on the element interfaces, in addition to the primal interior variable. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1058 / 1064

页数：7

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