Mixed time discontinuous space-time finite element method for convection diffusion equations

被引：23

作者：

Liu Yang ^{[1
]}

Li Hong ^{[1
]}

He Siriguleng ^{[1
]}

机构：

[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2008年 / 29卷 / 12期

基金：

中国国家自然科学基金;

关键词：

convection diffusion equations; mixed finite element method; time discontinuous space-time finite element method; convergence; O242; 21; 65N30; 65M60;

D O I：

10.1007/s10483-008-1206-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

A mixed time discontinuous space-time finite element scheme for secondorder convection diffusion problems is constructed and analyzed. Order of the equation is lowered by the mixed finite element method. The low order equation is discretized with a space-time finite element method, continuous in space but discontinuous in time. Stability, existence, uniqueness and convergence of the approximate solutions are proved. Numerical results are presented to illustrate efficiency of the proposed method.

引用

页码：1579 / 1586

页数：8

共 10 条

[1]

Mixed discontinuous Galerkin methods for Darcy flow [J].