A class of discontinuous Petrov-Galerkin methods. Part I: The transport equation

被引：171

作者：

Demkowicz, L. ^{[2
]}

Gopalakrishnan, J. ^{[1
]}

机构：

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

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

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2010年 / 199卷 / 23-24期

基金：

美国国家科学基金会;

关键词：

Advection; Petrov-Galerkin; High order; Discontinuous Galerkin; DG; DPG; hp optimal; Spectral; Conservative; Flux; Postprocessing; 2ND-ORDER ELLIPTIC PROBLEMS; SCALAR HYPERBOLIC EQUATION; FINITE-ELEMENT METHODS; CONVERGENCE;

D O I：

10.1016/j.cma.2010.01.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Considering a simple model transport problem, we present a new finite element method. While the new method fits in the class of discontinuous Galerkin (DG) methods, it differs from standard DG and streamline diffusion methods, in that it uses a space of discontinuous trial functions tailored for stability. The new method, unlike the older approaches, yields optimal estimates for the primal variable in both the element size h and polynomial degree p, and outperforms the standard upwind DG method. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1558 / 1572

页数：15

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