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

来源：

Journal of Computational Physics | 2022年 / 457卷

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

共 50 条

[21] Discontinuous mixed penalty-free Galerkin method for second-order quasilinear elliptic equations
R. Z. Dautov
E. M. Fedotov
Computational Mathematics and Mathematical Physics, 2013, 53 : 1614 - 1625
[22] Discontinuous mixed penalty-free Galerkin method for second-order quasilinear elliptic equations
Dautov, R. Z.
Fedotov, E. M.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2013, 53 (11) : 1614 - 1625
[23] Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems
Bernardo Cockburn
Japan Journal of Industrial and Applied Mathematics, 2023, 40 : 1637 - 1676
[24] AN ANALYSIS OF THE EMBEDDED DISCONTINUOUS GALERKIN METHOD FOR SECOND-ORDER ELLIPTIC PROBLEMS
Cockburn, Bernardo
Guzman, Johnny
Soon, See-Chew
Stolarski, Henry K.
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 47 (04) : 2686 - 2707
[25] An Optimal Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems
Zhang, Xiao
Xie, Xiaoping
Zhang, Shiquan
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2019, 19 (04) : 849 - 861
[26] A POSTERIORI ERROR ESTIMATES FOR A LOCAL DISCONTINUOUS GALERKIN APPROXIMATION OF SEMILINEAR SECOND-ORDER ELLIPTIC PROBLEMS ON CARTESIAN GRIDS
Baccouch, Mahboub
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2023, 20 (06) : 772 - 804
[27] Discontinuous galerkin finite element approximation of nonlinear second-order elliptic and hyperbolic systems
Ortner, Christoph
Suli, Endre
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 45 (04) : 1370 - 1397
[28] A p-Adaptive Discontinuous Galerkin Method for Solving Second-Order Seismic Wave Equations
Huang, Jiandong
Yang, Dinghui
He, Xijun
Wen, Jin
Bu, Fan
IEEE Transactions on Geoscience and Remote Sensing, 2024, 62
[29] A high order discontinuous Galerkin method with Lagrange multipliers for second-order elliptic problems
Kim, Mi-Young
Shin, Dong-wook
APPLIED NUMERICAL MATHEMATICS, 2019, 135 : 47 - 68
[30] Pointwise error estimates of discontinuous Galerkin methods with penalty for second-order elliptic problems
Chen, ZX
Chen, HS
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2004, 42 (03) : 1146 - 1166

← 1 2 3 4 5 →