Adjoint state method for time-harmonic scattering problems with boundary perturbations

Adriaens, Xavier; Henrotte, François; Geuzaine, Christophe

doi:10.1016/j.jcp.2020.109981

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Adjoint state method for time-harmonic scattering problems with boundary perturbations

Adriaens, Xavier; Henrotte, François; Geuzaine, Christophe

2021 • In Journal of Computational Physics, 428, p. 109981

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https://hdl.handle.net/2268/288700

DOI
10.1016/j.jcp.2020.109981

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Keywords :

Adjoint method; Boundary sensitivity; Finite element method; Time-harmonic wave scattering; Impedance boundary conditions

Abstract :

[en] Knowing how the solution to time-harmonic wave scattering problems depends on medium properties and boundary conditions is pivotal in wave-based inverse problems, e.g. for imaging. This paper is devoted to the exposition of a computationally efficient method, called the adjoint state method, that allows to quantify the influence of media properties, directly and through boundary conditions, in the study of acoustic, electromagnetic and elastic time-harmonic waves. Firstly, the adjoint state method is derived for general boundary value problems. A continuous (rather than discrete) formalism is adopted in order to highlight the role of the boundary terms. Then, the method is applied systematically to acoustic, electromagnetic and elastic scattering problems with impedance boundary conditions, making use of the similitude between the three problems. Finally, numerical examples solved using the finite element method are presented to demonstrate the validity of the proposed method.

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Adriaens, Xavier ; Université de Liège - ULiège > Montefiore Institute of Electrical Engineering and Computer Science

Henrotte, François ; Université de Liège - ULiège > Montefiore Institute of Electrical Engineering and Computer Science ; EPL-iMMC-MEMA, Université catholique de Louvain, Belgium

Geuzaine, Christophe ; Université de Liège - ULiège > Montefiore Institute of Electrical Engineering and Computer Science

Language :

English

Title :

Adjoint state method for time-harmonic scattering problems with boundary perturbations

Publication date :

March 2021

Journal title :

Journal of Computational Physics

ISSN :

0021-9991

eISSN :

1090-2716

Publisher :

Academic Press Inc.

Volume :

428

Pages :

109981

Peer reviewed :

Peer Reviewed verified by ORBi

Tags :

CÉCI : Consortium des Équipements de Calcul Intensif

Additional URL :

https://api.elsevier.com/content/article/PII:S0021999120307555?httpAccept=text/xml

Funders :

FWB - Fédération Wallonie-Bruxelles
F.R.S.-FNRS - Fonds de la Recherche Scientifique

Funding text :

This research was funded by the Fonds de la Recherche Scientifique de Belgique (F.R.S.-FNRS) and the ARC grant for Concerted Research Actions (ARC WAVES 15/19-03 ), financed by the Wallonia-Brussels Federation of Belgium . The authors acknowledge the use of the computational resources provided by the Consortium des Équipements de Calcul Intensif (CÉCI), funded by the Fonds de la Recherche Scientifique de Belgique (F.R.S.-FNRS) and by the Walloon Region .

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since 08 March 2022

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