Numerical Resolution Near t=0 of Nonlinear Evolution Equations in the Presence of Corner Singularities in Space Dimension 1

作     者：Qingshan Chen Zhen Qin Roger Temam 

作者机构：Department of Scientific ComputingFlorida State UniversityTallahasseeFL 32306USA Institute for Scientific Computing and Applied MathematicsIndiana UniversityBloomingtonIN 47405USA 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2011年第9卷第3期

页      面：568-586页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：supported in part by NSF grants DMS0604235 and DMS0906440 the Research Fund of Indiana University 

主　　题：Compatibility conditions corner singularities viscous Burgers equation nonlinear convection diffusion equation finite element methods 

摘      要：The incompatibilities between the initial and boundary data will cause singularities at the time-space corners,which in turn adversely affect the accuracy of the numerical schemes used to compute the *** study the corner singularity issue for nonlinear evolution equations in 1D,and propose two remedy procedures that effectively recover much of the accuracy of the numerical scheme in *** of the remedy procedures to the 1D viscous Burgers equation,and to the 1D nonlinear reaction-diffusion equation are *** remedy procedures are applicable to other nonlinear diffusion equations as well.