A Robust Discontinuous Galerkin Method for Solving Convection-diffusion Problems
A Robust Discontinuous Galerkin Method for Solving Convection-diffusion Problems作者机构：College of Mathematics and Computer Science Hunan Normal University Changsha 410081 China
出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)
年 卷 期：2008年第24卷第3期
页 面：483-496页
核心收录：
学科分类：07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学]
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)
主 题：Discontinuous Galerkin method singularly perturbed convection-diffusion numerical traces
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.
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