An efficient method for solving an inverse problem for the Richards equation

被引：27

作者：

Bitterlich, S ^{[1
]}

Knabner, P ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Inst Appl Math, D-91058 Erlangen, Germany

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 147卷 / 01期

关键词：

inverse problem; parameter identification; multi-level algorithm; sensitivity analysis; adjoint method; direct method;

D O I：

10.1016/S0377-0427(02)00430-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A parameter identification problem for the hydraulic properties of porous media is considered. Numerically, this inverse problem is solved by minimizing an output least-squares functional. The unknown hydraulic properties which are nonlinear coefficients of a partial differential equation are approximated by spline functions. The identification is embedded into a multi-level algorithm and coupled with a linear sensitivity analysis to describe the ill-posedness of the inverse problem. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：153 / 173

页数：21

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