Preconditioning discontinuous Galerkin saddle point systems

被引：0
|
作者：
Kanschat, G [1 ]
机构：
[1] Univ Heidelberg, Inst Angew Math, D-69121 Heidelberg, Germany
来源：
COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS | 2003年
关键词：
discontinuous Galerkin; finite elements; LDG; preconditioner; multigrid; saddle point problem;
D O I：
暂无
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Preconditioners for the saddle point systems arising from the discretization of elliptic problems by the local discontinuous Galerkin method are presented. They are based on multi-level methods for the interior penalty method. Performance results for Poisson and Stokes equations are presented. The methods are applied successfully to problems with advection.
引用
收藏
页码：2016 / 2018
页数：3
相关论文
共 50 条
  • [1] PRECONDITIONING STOCHASTIC GALERKIN SADDLE POINT SYSTEMS
    Powell, Catherine E.
    Ullmann, Elisabeth
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2010, 31 (05) : 2813 - 2840
  • [2] PRECONDITIONING STOCHASTIC GALERKIN SADDLE POINT SYSTEMS (vol 31, pg 2813, 2010)
    Powell, Catherine E.
    Ullmann, Elisabeth
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2014, 35 (01) : 314 - 315
  • [3] Scaling Preconditioning Technique for Saddle Point Systems
    Li, Zheng
    Zhang, Tie
    Li, Changjun
    PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION, VOL II: MATHEMATICAL MODELLING, 2008, : 65 - 68
  • [4] PRECONDITIONING SADDLE-POINT SYSTEMS WITH APPLICATIONS IN OPTIMIZATION
    Dollar, H. Sue
    Gould, Nicholas I. M.
    Stoll, Martin
    Wathen, Andrew J.
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 32 (01): : 249 - 270
  • [5] Natural Preconditioning and Iterative Methods for Saddle Point Systems
    Pestana, Jennifer
    Wathen, Andrew J.
    SIAM REVIEW, 2015, 57 (01) : 71 - 91
  • [6] Preconditioning methods for linear systems with saddle point matrices
    Axelsson, O
    Neytcheva, M
    COMPUTATIONAL SCIENCE-ICCS 2002, PT III, PROCEEDINGS, 2002, 2331 : 784 - 793
  • [7] Combination preconditioning of saddle point systems for positive definiteness
    Pestana, J.
    Wathen, A. J.
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2013, 20 (05) : 785 - 808
  • [8] Preconditioning GMRES for discontinuous Galerkin approximations
    Banaś, Krzysztof
    Wheeler, Mary F.
    Computer Assisted Mechanics and Engineering Sciences, 2004, 11 (01): : 47 - 62
  • [9] Preconditioning methods for local discontinuous Galerkin discretizations
    Kanschat, G
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2003, 25 (03): : 815 - 831
  • [10] Preconditioning of nonsymmetric saddle point systems as arising in modelling of viscoelastic problems
    Neytcheva, Maya
    Bängtsson, Erik
    Electronic Transactions on Numerical Analysis, 2007, 29 : 193 - 211
12345