A NUMERICAL-METHOD FOR THE SOLUTION OF 2-DIMENSIONAL INVERSE HEAT-CONDUCTION PROBLEMS

被引：43
作者：
REINHARDT, HJ
机构：
[1] Fachbereich Mathematik, Univ.-Gh-Siegen, Siegen
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1991年 / 32卷 / 02期
关键词：
D O I：
10.1002/nme.1620320209
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A numerical method for the solution of inverse heat conduction problems in two-dimensional rectangular domains is established and its performance is demonstrated by computational results. The present method extends Beck's8 method to two spatial dimensions and also utilizes future times in order to stabilize the ill-posedness of the underlying problems. The approach relies on a line approximation of the elliptic part of the parabolic differential equation leading to a system of one-dimensional problems which can be decoupled.
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页码：363 / 383
页数：21
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