对流扩散特征值问题的Crouzeix-Raviart元二网格离散方案  

Two-grid discretization scheme based on the Crouzeix-Raviart element for convection-dffusion eigenvalue problems

作　　者：杜莹玉 韩家宇 DU Yingyu;HAN Jiayu(School of Mathematics and Computer Science,Anshun University,Anshun,Guizhou 561000,China;School of Mathematical Sciences,Guizhou Normal University,GuiYang,Guizhou 550025,China)

机构地区：[1]安顺学院数学与计算机科学学院,贵州安顺561000 [2]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《贵州师范大学学报（自然科学版）》2021年第6期8-12,共5页Journal of Guizhou Normal University：Natural Sciences

基　　金：贵州省科技计划项目(黔科合-ZK[2021]012);贵州师范大学学术新苗基金(黔师新苗[2021]A01)。

摘　　要：基于二网格方法给出了一个用Crouzeix-Raviart非协调元求解对流扩散特征值问题的二网格离散方案。给出了该方案的误差分析,并证明了该方案的渐近最优收敛阶。数值结果表明提出的方案是高效的,且带有自适应加密的二网格离散方案得到了精度更高的特征值。In this paper,based on the work of Xu and Zhou,we propose a two-grid discretization scheme to solve the convection-diffusion eigenvalue problems by using the Crouzeix-Raviart nonconforming element method.We give the error analysis of the scheme,and prove the asymptotically optimal convergence order for the scheme.The numerical results show that the scheme presented in this paper is effcient,and by using the two-grid discretization with adaptive refinements one can obtain eigenvalues with higher accuracy.

关 键 词：对流扩散特征值 Crouzeix-Raviart非协调元 二网格离散 

分 类 号：O241[理学—计算数学]