We consider an inverse problem for a system of steady-state reaction-diffusions acting on a perforated domain. We establish several results that connect the parameter values for the problem on the perforated domain with the corresponding problem on the related unperforated of solid domain. This opens the possibility of estimating a solution to the inverse problem on the perforated domain by instead working with the easier-to-solve inverse problem on the solid domain. We illustrate the results with an example.
An inverse problem for a system of steady-state reaction-diffusion equations on a porous domain using a collage-based approach / H. Kunze, D. La Torre. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 1047:1(2018 Jul 04), pp. 012005.1-012005.10. ((Intervento presentato al 9. convegno ICIPE International Conference on Inverse Problems in Engineering : 23 May 2017 through 26 May (Code 137986) tenutosi a University of Waterloo (Canada) nel 2017 [10.1088/1742-6596/1047/1/012005].
An inverse problem for a system of steady-state reaction-diffusion equations on a porous domain using a collage-based approach
D. La Torre
2018
Abstract
We consider an inverse problem for a system of steady-state reaction-diffusions acting on a perforated domain. We establish several results that connect the parameter values for the problem on the perforated domain with the corresponding problem on the related unperforated of solid domain. This opens the possibility of estimating a solution to the inverse problem on the perforated domain by instead working with the easier-to-solve inverse problem on the solid domain. We illustrate the results with an example.File | Dimensione | Formato | |
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