Uniform Convergence Analysis for Singularly Perturbed Elliptic Problems with Parabolic Layers  

作　　者：Jichun Li Yitung Chen 

机构地区：[1]Department of Mathematical Sciences, University of Nevada, Las Vegas, Nevada 89154-4020, USA [2]Department of Mechanical Engineering, University of Nevada, Las Vegas, Nevada 89154-4027, USA

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2008年第2期138-149,共12页高等学校计算数学学报（英文版）

摘　　要：In this paper, using Lin＇s integral identity technique, we prove the optimal uniform convergence θ（Nx^-2ln^2Nx＋Ny^-2ln^2Ny） in the L^2-norm for singularly perturbed problems with parabolic layers. The error estimate is achieved by bilinear finite elements on a Shishkin type mesh. Here Nx and Ny are the number of elements in the x- and y-directions, respectively. Numerical results are provided supporting our theoretical analysis.In this paper,using Lin's integral identity technique,we prove the optimal uniform convergence θ(N_x^(-2)In^2N_x + N_y^(-2)In^2N_y) in the L^2-norm for singularly per- turbed problems with parabolic layers.The error estimate is achieved by bilinear fi- nite elements on a Shishkin type mesh.Here N_x and N_y are the number of elements in the x- and y-directions,respectively.Numerical results are provided supporting our theoretical analysis.

关 键 词：Finite element methods singularly perturbed problems uniformly convergent 

分 类 号：O175[理学—数学]