Stability analysis of the marching-on-in-time boundary element method for electromagnetics
type: Item
instance of: scholarly article
title: Stability analysis of the marching-on-in-time boundary element method for electromagnetics
zbMATH Open document ID: 1336.78016
author: Elwin van 't Wout
author: D. R. van der Heul
author: H. van der Ven
author: C. Vuik
published in: Journal of Computational and Applied Mathematics
publication date: 2015-11-13T00:00:00Z
review text: The paper under review deals with the stability analysis of the marching-on-in-time boundary element method for some models arising in electromagnetics. This study is carried out starting from a functional framework and a stability property related to the variational formulation of the original electric field integral equation. Next, the authors extend this stability theorem to the differentiated electric field integral equation, which requires another test function space. This development is in relationship with the space-time Petrov-Galerkin method. A discretely equivalent collocation scheme motivates the choice of quadratic spline basis functions. Computational experiments for an aircraft confirm the stability of this particular time-domain boundary integral equation method for electromagnetics.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 78M15
Mathematics Subject Classification ID: 78M30
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 6508293
zbMATH Keywords: time-dependent boundary integral equations
zbMATH Keywords: boundary element method
zbMATH Keywords: variational formulation
zbMATH Keywords: collocation
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: j.cam.2015.09.002
OpenAlex ID: W1760377370
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DOI: 10.1016/J.CAM.2015.09.002
description: scientific article; zbMATH DE number 6508293