DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR A FORWARD-BACKWARD HEAT EQUATION

DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR A FORWARD-BACKWARD HEAT EQUATION

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摘要 A space-time finite element method,discontinuous in time but continuous in space,is studied to solve the nonlinear forward-backward heat equation.A linearized technique is introduced in order to obtain the error estimates of the approximate solutions.And the numerical simulations are given. A space-time finite element method,discontinuous in time but continuous in space,is studied to solve the nonlinear forward-backward heat equation.A linearized technique is introduced in order to obtain the error estimates of the approximate solutions.And the numerical simulations are given.

作者 LiHong WeiXiaoxi

机构地区 Dept.ofMath.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2005年第1期97-104,共8页 高校应用数学学报（英文版）（B辑）

基金 theNationalNaturalScienceFoundationTianYuanMathFund(A0324652),NSFofInnerMongoliaAutonomousRegion(200308020101)andFundsinIMU.

关键词 space-time finite element method linearized equation error estimate. space-time finite element method,linearized equation,error estimate.

分类号 O241.82 [理学—计算数学]

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Applied Mathematics(A Journal of Chinese Universities)

2005年第1期

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DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR A FORWARD-BACKWARD HEAT EQUATION

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