GLOBAL SUPERCONVERGENCE OF FINITE ELEMENT METHODS FOR PARABOLIC INVERSE PROBLEMS

被引：3

作者：

Azari, Hossein ^{[2
]}

Zhang, Shuhua ^{[1
]}

机构：

[1] Tianjin Univ Finance & Econ, Dept Math, Tianjin, Peoples R China

[2] Shaheed Beheshti Univ, Dept Math Sci, Tehran, Iran

来源：

APPLICATIONS OF MATHEMATICS | 2009年 / 54卷 / 03期

基金：

中国国家自然科学基金;

关键词：

inverse problem; global superconvergence; finite element method; DIFFERENTIAL-EQUATION; BOUNDARY MEASUREMENTS; UNKNOWN COEFFICIENT; TIME;

D O I：

10.1007/s10492-009-0018-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we transform a large class of parabolic inverse problems into a nonclassical parabolic equation whose coefficients consist of trace type functionals of the solution and its derivatives subject to some initial and boundary conditions. For this nonclassical problem, we study finite element methods and present an immediate analysis for global superconvergence for these problems, on basis of which we obtain a posteriori error estimators.

引用

页码：285 / 294

页数：10

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