A Robust Discontinuous Galerkin Method for Solving Convection-diffusion Problems  

作　　者：Zuo-zheng Zhang Zi-qing Xie Xia Tao 

机构地区：[1]College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China

出　　处：《Acta Mathematicae Applicatae Sinica》2008年第3期483-496,共14页应用数学学报（英文版）

基　　金：the National Natural Science Foundation of China(No.10571053);Programme for New Century Excellent Talents in University(NCET-06-0712);the Excellent Youth Project of the Education Department of Hunan Province of China(0513039)

摘　　要：In this paper, a new DG method was designed to solve the model problem of the one-dimensional singularly-perturbed convection-diffusion equation. With some special chosen numerical traces, the existence and uniqueness of the DG solution is provided. The superconvergent points inside each element are observed. Particularly, the 2p ＋ 1-order superconvergence and even uniform superconvergence under layer-adapted mesh are observed numerically.In this paper, a new DG method was designed to solve the model problem of the one-dimensional singularly-perturbed convection-diffusion equation. With some special chosen numerical traces, the existence and uniqueness of the DG solution is provided. The superconvergent points inside each element are observed. Particularly, the 2p ＋ 1-order superconvergence and even uniform superconvergence under layer-adapted mesh are observed numerically.

关 键 词：Discontinuous Galerkin method singularly perturbed CONVECTION-DIFFUSION numerical traces 

分 类 号：O15[理学—数学]