An adjoint-based adaptive error approximation of functionals by the hybridizable discontinuous Galerkin method for second-order elliptic equations

被引:0
|
作者
Cockburn, Bernardo [1 ]
Xia, Shiqiang [1 ]
机构
[1] School of Mathematics, University of Minnesota, Minneapolis,MN,55455, United States
基金
美国国家科学基金会;
关键词
Errors - Galerkin methods - Mesh generation - Numerical methods;
D O I
暂无
中图分类号
学科分类号
摘要
引用
收藏
相关论文
共 50 条
  • [1] An adjoint-based adaptive error approximation of functionals by the hybridizable discontinuous Galerkin method for second-order elliptic equations
    Cockburn, Bernardo
    Xia, Shiqiang
    JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 457
  • [2] On the error estimates of a hybridizable discontinuous Galerkin method for second-order elliptic problem with discontinuous coefficients
    Chen, Gang
    Cui, Jintao
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 40 (02) : 1577 - 1600
  • [3] Adjoint-Based Adaptive Isogeometric Discontinuous Galerkin Method for Euler Equations
    Yu, Shengjiao
    Feng, Renzhong
    Yue, Huiqiang
    Wang, Zheng
    Liu, Tiegang
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2018, 10 (03) : 652 - 672
  • [4] A HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR SECOND ORDER ELLIPTIC EQUATIONS WITH DIRAC DELTA SOURCE
    Leng, Haitao
    Chen, Yanping
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2022, 56 (02) : 385 - 406
  • [5] Tutorial on Hybridizable Discontinuous Galerkin (HDG) for Second-Order Elliptic Problems
    Sevilla, Ruben
    Huerta, Antonio
    ADVANCED FINITE ELEMENT TECHNOLOGIES, 2016, 566 : 105 - 129
  • [6] A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems
    Karakashian, OA
    Pascal, F
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2003, 41 (06) : 2374 - 2399
  • [7] A BDDC ALGORITHM FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HYBRIDIZABLE DISCONTINUOUS GALERKIN DISCRETIZATIONS
    Tu, Xuemin
    Wang, Bin
    ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2016, 45 : 354 - 370
  • [8] Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method
    Huiqiang YUE
    Tiegang LIU
    V.SHAYDUROV
    Applied Mathematics and Mechanics(English Edition), 2016, 37 (11) : 1419 - 1430
  • [9] Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method
    Yue, Huiqiang
    Liu, Tiegang
    Shaydurov, V.
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2016, 37 (11) : 1419 - 1430
  • [10] Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method
    Huiqiang Yue
    Tiegang Liu
    V. Shaydurov
    Applied Mathematics and Mechanics, 2016, 37 : 1419 - 1430