A MOLLIFIED SPACE-MARCHING FINITE-DIFFERENCE ALGORITHM FOR THE 2-DIMENSIONAL INVERSE HEAT-CONDUCTION PROBLEM WITH SLAB SYMMETRY

被引：42

作者：

GUO, L

MURIO, D

机构：

[1] Dept. of Math. Sci., Cincinnati Univ., OH

来源：

INVERSE PROBLEMS | 1991年 / 7卷 / 02期

关键词：

D O I：

10.1088/0266-5611/7/2/008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The two-dimensional inverse heat conduction problem (IHCP) for a slab is considered. A new solution algorithm based on a data filtering interpretation of the mollification method is presented and a fully explicit space-marching finite-differences scheme is developed. The efficiency and the numerical stability of the method are demonstrated by means of several examples. The numerical results show the procedure to be very useful in the presence of noisy data, even for some nonlinear models.

引用

页码：247 / 259

页数：13

共 17 条

[1]

AGMON S, 1962, LECTURES ELLIPTIC BO

[2]

[Anonymous], 1985, INVERSE HEAT CONDUCT

[3]

BASS BR, 1980, ADV COMPUT TECHNOL, V2, P238

[4]

BAUMEISTER J, 1987, INVERSE ILL POSED PR