DETERMINING SURFACE TEMPERATURES FROM INTERIOR OBSERVATIONS

被引：184
作者：
CARASSO, A
机构：
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 1982年 / 42卷 / 03期
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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