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

被引：11

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 ;

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 50 条

[1] Mixed time discontinuous space-time finite element method for convection diffusion equations
Yang Liu
Hong Li
Siriguleng He
[J]. Applied Mathematics and Mechanics, 2008, 29 : 1579 - 1586
[2] Mixed time discontinuous space-time finite element method for convection diffusion equations
刘洋
李宏
何斯日古楞
[J]. Applied Mathematics and Mechanics(English Edition), 2008, (12) : 1579 - 1586
[3] H 1 space-time discontinuous finite element method for convection-diffusion equations
He, Siriguleng
Li, Hong
Liu, Yang
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2013, 34 (03) : 371 - 384
[4] H~1 space-time discontinuous finite element method for convection-diffusion equations
何斯日古楞
李宏
刘洋
[J]. Applied Mathematics and Mechanics(English Edition), 2013, 34 (03) : 371 - 384
[5] H1 space-time discontinuous finite element method for convection-diffusion equations
Siriguleng He
Hong Li
Yang Liu
[J]. Applied Mathematics and Mechanics, 2013, 34 : 371 - 384
[6] ON THE SOLUTION OF DIFFUSION CONVECTION EQUATIONS BY THE SPACE-TIME FINITE-ELEMENT METHOD
YU, JR
HSU, TR
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1986, 23 (05) : 737 - 750
[7] A space-time finite element method based on local projection stabilization in space and discontinuous Galerkin method in time for convection-diffusion-reaction equations
Dong, Ziming
Li, Hong
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2021, 397
[8] Time discontinuous Galerkin space-time finite element method for nonlinear Sobolev equations
He, Siriguleng
Li, Hong
Liu, Yang
[J]. FRONTIERS OF MATHEMATICS IN CHINA, 2013, 8 (04) : 825 - 836
[9] Time discontinuous Galerkin space-time finite element method for nonlinear Sobolev equations
Siriguleng He
Hong Li
Yang Liu
[J]. Frontiers of Mathematics in China, 2013, 8 : 825 - 836
[10] Space-Time Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems and Compressible Flow
Feistauer, Miloslav
Cesenek, Jan
[J]. NUMERICAL METHODS AND APPLICATIONS, 2011, 6046 : 1 - 13

← 1 2 3 4 5 →