Formfree and Cascadic Identification of Material Laws in (Un)Saturated Fluid Flow from Column Experiments

Bitterlich S, Knabner P (2001)


Publication Language: English

Publication Type: Journal article

Publication year: 2001

Journal

Book Volume: 81

Pages Range: 13-16

Journal Issue: 1

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2001/2001_BitterlichKn_FormfreeAndCascadicIdentificationOfMaterialLawsL

Open Access Link: https://pdfs.semanticscholar.org/2667/16ecbea14a11dbc3d53b33552a5dd269c558.pdf?_ga=2.85110235.37215227.1565256172-1546053834.1556789942

Abstract

Simulations of processes in porous media often are based on mathematical models in form of partial differential equations or systems of such equations. The processes in porous media critically depend on knowledge of material laws, characteristic material properties of the considered porous media, which are represented in the model equations by coefficient functions. Therefore, the material properties have to be determined by suitable experiments. Usually such experiments can only reveal an output of the system caused by the material properties to a certain input. The material property itself has to be identified from this by mathematical and numerical methods (inverse modeling). This paper presents an approach for formfree and cascadic identification of nonlinear coefficient functions in a partial differential equation based on output least squares minimization.

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How to cite

APA:

Bitterlich, S., & Knabner, P. (2001). Formfree and Cascadic Identification of Material Laws in (Un)Saturated Fluid Flow from Column Experiments. ZAMM - Zeitschrift für angewandte Mathematik und Mechanik, 81(1), 13-16.

MLA:

Bitterlich, Sandro, and Peter Knabner. "Formfree and Cascadic Identification of Material Laws in (Un)Saturated Fluid Flow from Column Experiments." ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 81.1 (2001): 13-16.

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