A unified a posteriori error estimate of local discontinuous Galerkin approximations for reactive transport problems

被引:0
作者
Jiming Yang
机构
[1] Hunan Institute of Engineering,College of Science
[2] Xiangtan University,College of Civil Engineering and Mechanics
来源
Indian Journal of Pure and Applied Mathematics | 2015年 / 46卷
关键词
A posteriori error estimates; duality technique; local discontinuous Galerkin method; reactive transport;
D O I
暂无
中图分类号
学科分类号
摘要
To solve reactive transport problems in porous media, local discontinuous Galerkin (LDG) approximations are investigated. Based on the duality technique and the residual error notations, a unified a posteriori error estimate in L2(L2) norm is obtained, which is usually used for guiding anisotropic and dynamic mesh adaptivity.
引用
收藏
页码:759 / 772
页数:13
相关论文
共 42 条
[11]  
Bustinza R(1998)Performance of discontinuous Galerkin methods for elliptic PDEs SIAM J. Numer. Anal. 35 2440-2463
[12]  
Gatica G N(1989)A posteriori error estimation for a fully discrete discontinuous Galerkin approximation to a kind of singularly perturbed problems Math. Comp. 52 411-435
[13]  
Cockburn B(1990)The local discontinuous Galerkin method for time-dependent convection-diffusion systems Math. Comp. 54 545-581
[14]  
Castillo P(2001)TVB Runge-Kutta local projection discontinuous Galerkin finite element method for scalar conservations laws II: Genaral framework Numer. Methods Part. Diff. Eqns. 17 545-564
[15]  
Cockburn B(2005)TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservations laws IV: The multidimensional case Appl. Math. Letters 18 833-841
[16]  
Perugia I(2003)A priori error estimates for interior penalty versions of the local discontinuous Galerkin method applied to transport equations Comp. Math. Appl. 46 141-163
[17]  
Schotzau D(2005)A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations J. Sci. Comp. 22 511-540
[18]  
Castillo P(2006)A posteriori error estimates and mesh adaptation strategy for discontinuous Galerkin methods applied to diffusion problems Comp. Meth. Appl. Mech. Engrg. 195 632-652
[19]  
Castillo P(2006)( J. Comp. Math. 24 425-434
[20]  
Velazquez E(undefined)) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems undefined undefined undefined-undefined