FINITE ELEMENT ANALYSIS OF A LOCAL EXPONENTIALLYFITTED SCHEME FOR TIME-DEPENDENTCONVECTION-DIFFUSION PROBLEMS

作     者：Yue, XY Jiang, LS Shih, TM 

作者机构：Suzhou Univ Dept Math Suzhou 215006 Peoples R China Tongji Univ Inst Math Shanghai 200092 Peoples R China Hong Kong Polytech Univ Dept Appl Math Hong Kong Hong Kong 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：1999年第17卷第3期

页      面：225-232页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：国家自然科学基金 

主　　题：singularly perturbed exponentially fitted uniformly in epsilon convergent Petrov-Galerkin finite element method 

摘      要：In [16], Stynes and O Riordan(91) introduced a local exponentially fitted finite element (FE) scheme for a singularly perturbed two-point boundary value problem without turning-point. An E-uniform h(1/2)-order accuracy was obtain for the epsilon-weighted energy norm. And this uniform order is known as an optimal one for global exponentially fitted FE schemes (see [6, 7, 12]). In present paper, this scheme is used to a parabolic singularly perturbed problem. After some subtle analysis, a uniformly in epsilon convergent order h\ln h\(1/2) + tau is achieved (h is the space step and tau is the time step), which sharpens the results in present literature. Furthermore, it implies that the accuracy order in [16] is actuallay h\ln h\(1/2) rather than h(1/2).