On an inverse diffusion problem

被引：14

作者：

Elayyan, A ^{[1
]}

Isakov, V ^{[1
]}

机构：

[1] Wichita State Univ, Dept Math & Stat, Wichita, KS 67260 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1997年 / 57卷 / 06期

关键词：

parabolic inverse problems; inverse heat transfer; inverse hydraulic problem; regularization of ill-posed problems;

D O I：

10.1137/S0036139995288733

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In many applications, such as the heat conduction and hydrology, these is a need to recover the (possibly discontinuous) diffusion coefficient a from boundary measurements of solutions of a parabolic equation. The complete inverse problem is ill posed and nonlinear, so numerical solution is quite difficult, and we linearize the problem around constant a. We study and solve numerically the Linear ill-posed problem by using regularization.

引用

页码：1737 / 1748

页数：12

共 13 条

[1]

CHENEY M, 1990, CONT MATH, V122, P29

[2] On uniqueness of recovery of the discontinuous conductivity coefficient of a parabolic equation [J].

Elayyan, A ;

Isakov, V .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1997, 28 (01) :49-59

[3]

Engl H.W., 1996, Mathematics and Its Applications, V375

[4]

Engl H. W., 1992, EUR J APPL MATH, V3, P255

[5]

Friedman A., 1964, Partial Differential Equations of Parabolic Type

[6]

HORMANDER L., 1983, The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients, VI

[7]

ISAKOV V, 1995, SIAM PROC S, P21

[8]

ISAKOV V., 1990, Mathematical Surveys and Monographs, V34

[9]

Ladyzenskaja O.A., 1968, Transl. Math. Monographs, V23

[10] RECONSTRUCTIONS FROM BOUNDARY MEASUREMENTS [J].

NACHMAN, AI .

ANNALS OF MATHEMATICS, 1988, 128 (03) :531-576

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