Spurious resonances in coupled domain-boundary variational formulations of transmission problems in electromagnetism and acoustics
type: Item
instance of: scholarly article
title: Spurious resonances in coupled domain-boundary variational formulations of transmission problems in electromagnetism and acoustics
author: Erick Schulz
author: Ralf Hiptmair
published in: Computational Methods in Applied Mathematics
publication date: 2022-11-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/2003.14357
review text: The authors develop a framework for three particular transmission problems in electromagnetism and acoustics. They show that spurious resonances for coupled domain-boundary formulations based on direct boundary integral equations of the first kind originate from their Calderón identities. The kernel of the abstract coupled problem is fully characterized, and it is shown that it vanishes under the exterior representation formula.
reviewed by: Eric Stachura
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45C05
Mathematics Subject Classification ID: 45A05
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 78M30
Mathematics Subject Classification ID: 78M15
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 7612444
zbMATH Keywords: electromagnetic scattering
zbMATH Keywords: acoustic scattering
zbMATH Keywords: resonant frequencies
zbMATH Keywords: coupling
MaRDI profile type: Publication
OpenAlex ID: W3014793531
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DOI: 10.1515/CMAM-2021-0197
description: scientific article; zbMATH DE number 7612444