THE FINITE ELEMENT METHOD FOR SEMILINEARPARABOLIC EQUATIONS WITH DISCONTINUOUSCOEFFICIENTS

作     者：Feng, H Shen, LJ 

作者机构：Shenzhen Univ Normal Coll Shenzhen 518060 Peoples R China Inst Appl Phys & Computat Math Lab Computat Phys Beijing 100088 Peoples R China 

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

年 卷 期：1999年第17卷第2期

页      面：191-198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：中国博士后科学基金 中国工程物理研究院基金 

主　　题：finite element semilinear parabolic equation discontinuous coefficients 

摘      要：In this paper we investigate the existence, uniqueness and regularity of the solution of semilinear parabolic equations with coefficients that are discontinuous across the interface, some prior estimates are obtained. A net shape of the finite elements around the singular points was designed in [7] to solve the linear elliptic problems, by means of that net, we prove that the approximate solution has the same convergence rate as that without singularity.