A new mixed scheme based on variation of constants for Sobolev equation with nonlinear convection term  

作　　者：LIU Yang LI Hong HE Siriguleng GAO Wei MU Sen 

机构地区：[1]School of Mathematical Sciences,Inner Mongolia University [2]College of Finance and Statistics,Hunan University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2013年第2期158-172,共15页高校应用数学学报（英文版）（B辑）

基　　金：Supported by National Natural Science Fund of China (11061021);Key Project of Chinese Ministry of Education (12024);Natural Science Fund of Inner Mongolia Autonomous Region (2012MS0108,2012MS0106,2011BS0102);Scientific Research Projection of Higher Schools of Inner Mongolia (NJZZ12011,NJZY13199);Program of Higher-level talents of Inner Mongolia University (125119,Z200901004,30105-125132)

摘　　要：A new mixed scheme which combines the variation of constants and the H1-Galerkin mixed finite element method is constructed for nonlinear Sobolev equation with nonlinear con- vection term. Optimal error estimates are derived for both semidiscrete and fully discrete schemes. Finally, some numerical results are given to confirm the theoretical analysis of the proposed method.A new mixed scheme which combines the variation of constants and the H1-Galerkin mixed finite element method is constructed for nonlinear Sobolev equation with nonlinear con- vection term. Optimal error estimates are derived for both semidiscrete and fully discrete schemes. Finally, some numerical results are given to confirm the theoretical analysis of the proposed method.

关 键 词：Sobolev equation NONLINEAR convection term variation of constants H1-Galerkin mixed method optimal error estimate. 

分 类 号：O175[理学—数学]