反应扩散问题的新的绝对稳定hp间断Galerkin方法  

A New Absolutely Stable hp Discontinuous Galerkin Method for the Reaction-Diffusion Problem

作　　者：葛志昊[1] 曹济伟 Ge Zhihao;Cao Jiwei(Institute of Applied Mathematics ＆ School of Mathematics and Statistics, Henan University, Henan Kaifeng 475000;College of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450000)

机构地区：[1]河南大学应用数学研究所&数学与统计学院,河南开封475004 [2]河南财经政法大学数学与信息科学学院,郑州450000

出　　处：《数学物理学报（A辑）》2018年第2期385-394,共10页Acta Mathematica Scientia

基　　金：河南省自然科学基金(162300410031);河南省基本科研业务费优秀青年培养计划(yqpy20140039)~~

摘　　要：针对一类反应扩散问题提出了新的绝对稳定hp间断Galerkin方法,并给出了该方法的误差估计,证明了该方法在L^2范数和H^1范数意义下是最优阶收敛.最后,数值算例验证了理论结果的正确性.In this paper, a new absolutely stable hp discontinuous Galerkin method is proposed. And the error estimate of hp discontinuous Galerkin method is given, and the optimal convergent orders in L^2-norm and H^1-norm for the general stabilization parameters are proved. Finally, the numerical tests verify the theoretical results.

关 键 词：反应扩散问题 间断GALERKIN方法 最优误差估计 

分 类 号：O241.82[理学—计算数学]