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
收藏
页码：1058 / 1064
页数：7
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