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

查看全文 作　　者：LIU [1]Yang;LI [1]Hong;HE [1]Siriguleng;GAO [1]Wei;MU [2]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)》索引2013年第28卷第2期,共15页

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 convection 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方程混合有限元方法非线性对流项常量基础最优误差估计结合常数

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

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