On discontinuous Galerkin methods

被引：66
|
作者：
Zienkiewicz, OC
Taylor, RL
Sherwin, SJ
Peiró, J
机构：
[1] Univ Calif Berkeley, Dept Civil & Environm Engn, Berkeley, CA 94720 USA
[2] UPC, CIMNE, Barcelona, Spain
[3] Univ Coll Swansea, Dept Civil Engn, Swansea, W Glam, Wales
[4] Univ London Imperial Coll Sci Technol & Med, Dept Aeronaut, London, England
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2003年 / 58卷 / 08期
关键词：
discontinuous Galerkin; one-dimensional advection-diffusion-reaction problems;
D O I：
10.1002/nme.884
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Discontinuous Galerkin methods have received considerable attention in recent years for problems in which advection and diffusion terms are present. Several alternatives for treating the diffusion and advective fluxes have been introduced. This report summarizes some of the methods that have been proposed. Several numerical examples are included in the paper. These present discontinuous Galerkin solutions of one-dimensional problems with a scalar variable. Results are presented for diffusion-reaction problems and advection-diffusion problems. We discuss the performance of various formulations with respect to accuracy as well as stability of the method. Copyright (C) 2003 John Wiley Sons, Ltd.
引用
收藏
页码：1119 / 1148
页数：30
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