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
相关论文
共 50 条
  • [21] CONVERGENCE OF ADAPTIVE DISCONTINUOUS GALERKIN METHODS
    Kreuzer, Christian
    Georgoulis, Emmanuil H.
    MATHEMATICS OF COMPUTATION, 2018, 87 (314) : 2611 - 2640
  • [22] Discontinuous Galerkin and Petrov Galerkin methods for compressible viscous flows
    Wang, Li
    Anderson, W. Kyle
    Erwin, J. Taylor
    Kapadia, Sagar
    COMPUTERS & FLUIDS, 2014, 100 : 13 - 29
  • [23] Adaptive discontinuous Galerkin methods in multiwavelets bases
    Archibald, Rick
    Fann, George
    Shelton, William
    APPLIED NUMERICAL MATHEMATICS, 2011, 61 (07) : 879 - 890
  • [24] Equilibrated error estimators for discontinuous Galerkin methods
    Cochez-Dhondt, Sarah
    Nicaise, Serge
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 24 (05) : 1236 - 1252
  • [25] Discontinuous Galerkin Methods for a Class of Nonvariational Problems
    Dedner, Andreas
    Pryer, Tristan
    COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2022, 4 (02) : 634 - 656
  • [26] On locally divergence -free discontinuous Galerkin methods
    Brown University
    1600, (2004):
  • [27] PML in Discontinuous Galerkin Time Domain Methods
    Stylianos, Dosopoulos
    Rawat, Vineet
    Lee, Jin-Fa
    2009 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM AND USNC/URSI NATIONAL RADIO SCIENCE MEETING, VOLS 1-6, 2009, : 3023 - 3026
  • [28] Mixed Plane Wave Discontinuous Galerkin Methods
    Hiptmair, Ralf
    Perugia, Ilaria
    DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XVIII, 2009, 70 : 51 - 62
  • [29] On discrete maximum principles for discontinuous Galerkin methods
    Badia, Santiago
    Hierro, Alba
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 286 : 107 - 122
  • [30] Hybridizable Discontinuous Galerkin Methods for Timoshenko Beams
    Celiker, Fatih
    Cockburn, Bernardo
    Shi, Ke
    JOURNAL OF SCIENTIFIC COMPUTING, 2010, 44 (01) : 1 - 37
12345