A Stabilized Galerkin Scheme for the Convection-Diffusion-Reaction Equations

被引：0

作者：

Liu, Qingfang ^{[1
,2
]}

Hou, Yanren ^{[1
,2
]}

Ding, Lei ^{[3
]}

Liu, Qingchang ^{[4
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

[2] Xi An Jiao Tong Univ, Ctr Computat Geosci, Xian 710049, Peoples R China

[3] Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian 710049, Peoples R China

[4] Northwestern Polytech Univ, Sch Mech & Civil & Architecture, Xian 710129, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2014年 / 130卷 / 01期

关键词：

Stabilized method; Finite element method; Convection-diffusion-reaction equations; Stability; Error estimates; NAVIER-STOKES EQUATIONS; VARIATIONAL MULTISCALE METHOD; TIME RELAXATION; ADVECTION; MODELS; TRANSPORT;

D O I：

10.1007/s10440-013-9840-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fully discrete stabilized scheme is proposed for solving the time-dependent convection-diffusion-reaction equations. A time derivative term results in our stabilized algorithm. The finite element method for spatial discretization and the backward Euler or Crank-Nicolson scheme for time discretization are employed. The long-time stability and convergence are established in this article. Finally, some numerical experiments are provided to confirm the theoretical analysis.

引用

页码：115 / 134

页数：20

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