[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
FWB - Fédération Wallonie-Bruxelles [BE] F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE] CÉCI - Consortium des Équipements de Calcul Intensif [BE]
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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