DETERMINING SURFACE TEMPERATURES FROM INTERIOR OBSERVATIONS

被引:181
作者
CARASSO, A
机构
关键词
TEMPERATURE DISTRIBUTION;
D O I
10.1137/0142040
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The inverse heat transfer problem is considered for the case of the one-dimensional heat equation in a quarter plane, and a new solution algorithm is presented together with error bounds of logarithmic convexity type. The method is based on regularizing the initial value problem for the heat equation run sideways. A numerical experiment with rapidly varying temperature profiles is described, and it is explained how the method can be extended to problems with temperature dependent thermal properties.
引用
收藏
页码:558 / 574
页数:17
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