Local problem-based <Emphasis Type="Italic">a posteriori</Emphasis> error estimators for discontinuous Galerkin approximations of reactive transport |
| |
| Authors: | Shuyu Sun Mary F Wheeler |
| |
| Institution: | (1) Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, USA;(2) The Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA |
| |
| Abstract: | We consider adaptive discontinuous Galerkin (DG) methods for solving reactive transport problems in porous media. To guide
anisotropic and dynamic mesh adaptation, a posteriori error estimators based on solving local problems are established. These error estimators are efficient to compute and effective
to capture local phenomena, and they apply to all the four primal DG schemes, namely, symmetric interior penalty Galerkin,
nonsymmetric interior penalty Galerkin, incomplete interior penalty Galerkin, and the Oden–Babuška-Baumann version of DG.
Numerical results are provided to illustrate the effectiveness of the proposed error estimators. |
| |
| Keywords: | a posteriori error estimators discontinuous Galerkin methods IIPG NIPG OBB-DG reactive transport SIPG |
| 本文献已被 SpringerLink 等数据库收录！ |
|
