| DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR A FORWARD-BACKWARD HEAT EQUATION |
| |
| 作者姓名： | LiHong WeiXiaoxi |
| |
| 作者单位： | Dept.ofMath.,CollegeofSciencesandTechnology,InnerMongoliaUniversity,Huhhot010021,China |
| |
| 基金项目： | theNationalNaturalScienceFoundationTianYuanMathFund(A0324652),NSFofInnerMongoliaAutonomousRegion(200308020101)andFundsinIMU. |
| |
| 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.
|
| 关 键 词： | GALERKI不连续有限元法 线性化法 非线性热方程 偏微分 数值模拟 |
| 收稿时间： | 12 May 2004 |
Discontinuous galerkin finite element method for a forward-backward heat equation |
| |
| LiHong WeiXiaoxi.DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR A FORWARD-BACKWARD HEAT EQUATION[J].Applied Mathematics A Journal of Chinese Universities,2005,20(1):97-104. |
| |
| Authors: | Li Hong Wei Xiaoxi |
| |
| Institution: | (1) Dept. of Math., College of Sciences and Technology, Inner Mongolia University, 010021 Huhhot, China |
| |
| Abstract: | 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. |
| |
| Keywords: | space-time finite element method linearized equation error estimate |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
