| A UNIFIED A POSTERIORI ERROR ANALYSIS FOR DISCONTINUOUS GALERKIN APPROXIMATIONS OF REACTIVE TRANSPORT EQUATIONS |
| |
| 作者姓名： | Ji-ming Yang Yan-ping Chen |
| |
| 作者单位： | Ji-ming Yang;Yan-ping Chen**，Hunan Key Laboratory for Computation and Simulation in Science and Engineering，Institute for Computational and Applied Mathematics and School of Mathematics and Computing Science，Xiangtan University，Xiangtan 411105，China |
| |
| 基金项目： | This work is supported by Program for New Century Excellent Talents in University of China State Education Ministry NCET-04-0776, National Science Foundation of China, the National Basic Research Program under the Grant 2005CB321703, and the key project of China State Education Ministry and Hunan Education Commission. |
| |
| 摘 要： | Four primal discontinuous Galerkin methods are applied to solve reactive transportproblems, namely, Oden-Babuska-Baumann DG (OBB-DG), non-symmetric interior penaltyGalerkin (NIPG), symmetric interior penalty Galerkin (SIPG), and incomplete interiorpenalty Galerkin (IIPG). A unified a posteriori residual-type error estimation is derivedexplicitly for these methods. From the computed solution and given data, explicit esti-mators can be computed efficiently and directly, which can be used as error indicators foradaptation. Unlike in the reference 10], we obtain the error estimators in L~2 (L~2) norm byusing duality techniques instead of in L~2 (H~1) norm.
|
| 关 键 词： | 误差估计 对偶性技术 不连续Galerkin法 计算方法 |
| 收稿时间： | 2006-03-01 |
| 修稿时间： | 2006-03-01 |
A UNIFIED A POSTERIORI ERROR ANALYSIS FOR DISCONTINUOUS GALERKIN APPROXIMATIONS OF REACTIVE TRANSPORT EQUATIONS |
| |
| Ji-ming Yang Yan-ping Chen.A UNIFIED A POSTERIORI ERROR ANALYSIS FOR DISCONTINUOUS GALERKIN APPROXIMATIONS OF REACTIVE TRANSPORT EQUATIONS[J].Journal of Computational Mathematics,2006,24(3):425-434. |
| |
| Authors: | Ji-ming;Yang;Yan-ping;Chen |
| |
| Abstract: | Four primal discontinuous Galerkin methods are applied to solve reactive transport problems, namely, Oden-Babuska-Baumann DG (OBB-DG), non-symmetric interior penalty Galerkin (NIPG), symmetric interior penalty Galerkin (SIPG), and incomplete interior penalty Galerkin (IIPG). A unified a posteriori residual-type error estimation is derived explicitly for these methods. From the computed solution and given data, explicit esti- mators can be computed efficiently and directly, which can be used as error indicators for adaptation. Unlike in the reference 10], we obtain the error estimators in L~2 (L~2) norm by using duality techniques instead of in L~2 (H~1) norm. |
| |
| Keywords: | A posteriori error estimates Duality techniques Discontinuous Galerkin methods |
| 本文献已被 CNKI 维普 等数据库收录！ |
