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

Bitterlich S, Knabner P (2002)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2002

Journal

Journal of Computational and Applied Mathematics Elsevier

Publisher: Elsevier

Book Volume: 147

Pages Range: 153-173

Journal Issue: 1

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_BitterlichKn_AnEfficientMethodForSolvAnInversProbForRichardsEquation

DOI: 10.1016/S0377-0427(02)00430-2

Abstract

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. © 2002 Elsevier Science B.V. All rights reserved.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

How to cite

APA:

Bitterlich, S., & Knabner, P. (2002). An efficient method for solving an inverse problem for the Richards equation. Journal of Computational and Applied Mathematics, 147(1), 153-173. https://doi.org/10.1016/S0377-0427(02)00430-2

MLA:

Bitterlich, Sandro, and Peter Knabner. "An efficient method for solving an inverse problem for the Richards equation." Journal of Computational and Applied Mathematics 147.1 (2002): 153-173.

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