Error Estimates for Mixed Finite Element Methods for Sobolev Equation

被引：31

作者：

姜子文

陈焕祯

机构：

来源：

Northeastern Mathematical Journal | 2001年 / 03期

关键词：

error estimate; mixed finite element; Sobolev equation;

D O I：

10.13447/j.1674-5647.2001.03.009

中图分类号：

O241.82 [偏微分方程的数值解法];

学科分类号：

070102 ;

摘要：

The purpose of this paper is to investigate the convergence of the mixed finite element method for the initial-boundary value problem for the Sobolev equation Ut-div{aut + b1 u} = f based on the Raviart-Thomas space Vh × Wh H(div; × L2(). Optimal order estimates are obtained for the approximation of u, ut, the associated velocity p and divp respectively in L(0,T;L2()), L(0,T;L2()), L(0,T;L2()2), and L2(0, T; L2()). Quasi-optimal order estimates are obtained for the approximations of u, ut in L(0, T; L()) and p in L(0,T; L()2).

引用

页码：301 / 314

页数：14