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.
作者
葛志昊
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)
出处
《数学物理学报（A辑）》
CSCD
北大核心
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)~~
