ANALYSIS OF THE DPG METHOD FOR THE POISSON EQUATION

被引：100

作者：

Demkowicz, L. ^{[1
]}

Gopalakrishnan, J. ^{[2
]}

机构：

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

[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2011年 / 49卷 / 05期

关键词：

discontinuous Petrov-Galerkin method; discontinuous Galerkin; Helmholtz decomposition; adaptive; hp; finite element method; convection-diffusion; DISCONTINUOUS GALERKIN METHOD; 2ND-ORDER ELLIPTIC PROBLEMS; ELEMENTS; SYSTEMS; H-1;

D O I：

10.1137/100809799

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an error analysis of the recently developed DPG method applied to solve the Poisson equation and a convection-diffusion problem. We prove that the method is quasioptimal. Error estimates in terms of both the mesh size h and the polynomial degree p (for various element shapes) can be derived from our results. Results of extensive numerical experiments are also presented.

引用

页码：1788 / 1809

页数：22

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