Experimental design for outflow experiments based on a multi-level identification method for material laws

Bitterlich S, Knabner P (2003)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2003

Journal

Inverse Problems Institute of Physics: Hybrid Open Access

Publisher: Institute of Physics: Hybrid Open Access

Book Volume: 19

Pages Range: 1011-1030

Journal Issue: 5

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2003/2003_BtterlichKn_ExpDesginForOutflowExperimentBasedOnAMultiLevelIdentification

DOI: 10.1088/0266-5611/19/5/302

Abstract

A multi-level method for the determination of nonlinear coefficient functions of parabolic partial differential equations is presented as an example of the reconstruction of the hydraulic properties of porous media from soil column outflow experiments. A linear stability and error analysis is used to characterize the ill-posedness of the inverse problem. Founded on this analysis, optimal experimental design problems can be formulated. Numerical examples are presented which show that the method described leads to a stable solution of the inverse problem.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Related research project(s)

Quantification of Contaminant Sources and Transport Prognosis in Aquifers BMBF Förderschwerpunkt Sickerwasserprognose Jan. 1, 2001 - Dec. 31, 2004

How to cite

APA:

Bitterlich, S., & Knabner, P. (2003). Experimental design for outflow experiments based on a multi-level identification method for material laws. Inverse Problems, 19(5), 1011-1030. https://doi.org/10.1088/0266-5611/19/5/302

MLA:

Bitterlich, Sandro, and Peter Knabner. "Experimental design for outflow experiments based on a multi-level identification method for material laws." Inverse Problems 19.5 (2003): 1011-1030.

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