Sobolev方程的一类新型H^1-Galerkin混合元法  

A KIND OF NEW H^1-GALERKIN MIXED METHOD FOR SOBOLEV EQUATION

作　　者：李宏 季兆义[1] 刘洋[1] 何斯日古愣 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《高等学校计算数学学报》2013年第3期206-221,共16页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(11061021);内蒙古自治区高等学校科学研究项目(NJZZ12011,NJZY13199);内蒙古自然科学基金(2012MS0106,2012MS0108);内蒙古大学高层次人才基金(125119,30105-125132)

摘　　要：考虑如下半线性Sobolev方程的初边值问题：The system for integro-differential equations is introduced for Sobolev equation by taking the space-time mixed partial derivatives q = ux, as an auxiliary variable. A kind of new H1-Galerkin mixed finite element scheme, in which the LBB consistency condition does not been required, is constructed. Optimal error estimates are derived in both semi-discrete and fully discrete schemes in one space dimension, and an extension to problems in two-and three space variables are also discussed.

关 键 词：数学 数学分析 粘弹性方程 二阶非协调 有限元 逼近分析 

分 类 号：O242.21[理学—计算数学]