Characterization of partial derivatives with respect to material parameters in a fluid-solid interaction problem
type: Item
instance of: scholarly article
title: Characterization of partial derivatives with respect to material parameters in a fluid-solid interaction problem
zbMATH Open document ID: 1397.35301
author: Izar Azpiroz
author: Hélène Barucq
author: Rabia Djellouli
author: Ha Thanh Pham
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-07-04T00:00:00Z
review text: For a fluid-solid interaction problem with Lipschitz interface, the authors investigate the partial Fréchet differentiability of the solutions and the approximate far-field-pattern with respect to solid material parameters. Differentiability is shown in the standard Sobolev framework, and the derivatives are characterized as solutions to inhomogeneous fluid-solid transmission problems. They also show that interior penalty discontinuous Galerkin method gives results with high precision and incurs almost no effect of discretization error accumulation.
reviewed by: Dongbing Zha
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74B10
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 76N99
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 6898337
zbMATH Keywords: sensitivity with respect to Lamé parameters
zbMATH Keywords: partial Fréchet derivative
zbMATH Keywords: fluid-solid interaction
zbMATH Keywords: approximate far-field-pattern
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.05.046
OpenAlex ID: W2807421785
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DOI: 10.1016/J.JMAA.2018.05.046
description: scientific article; zbMATH DE number 6898337