A defect-correction method for unsteady conduction convection problems Ⅰ:spatial discretization

被引：0

作者：

SI ZhiYong

机构：

来源：

Science China(Mathematics) | 2011年 / 54卷 / 01期

基金：

中国国家自然科学基金;

关键词：

unsteady conduction-convection problems; mixed finite element method; defect-correction; stability analysis; error estimates;

D O I：

暂无

中图分类号：

O241.82 [偏微分方程的数值解法];

学科分类号：

摘要：

In this paper, a semi-discrete defect-correction mixed finite element method (MFEM) for solving the non-stationary conduction-convection problems in two dimension is presented. In this method, we solve the nonlinear equations with an added artificial viscosity term on a finite element grid and correct this solutions on the same grid using a linearized defect-correction technique. The stability and the error analysis are derived. The theory analysis shows that our method is stable and has a good convergence property.

引用

页码：185 / 204

页数：20

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