Some formulations coupling finite element and integral equation methods for Helmholtz equation and electromagnetism
type: Item
instance of: scholarly article
title: Some formulations coupling finite element and integral equation methods for Helmholtz equation and electromagnetism
zbMATH Open document ID: 0820.65068
published in: Numerische Mathematik
publication date: 1995-05-10T00:00:00Z
review text: The author considers the problem of acoustical scattering by a hard obstacle, divides the region outside the obstacle into two subregions, one enclosing the other and considers the matching of the field in these two subregions across their mutual interface. Variational formulations follow which is suitable for the use of finite elements. One gives rapid convergence and the other, in the absence of preconditioning gives slow convergence. These ideas are applied to the more complicated problem of electromagnetic scattering by a metallic body. It is pointed out that in this case there may be slow convergence in the absence of preconditioning.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 739410
zbMATH Keywords: integral equation methods
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: acoustical scattering
zbMATH Keywords: finite elements
zbMATH Keywords: convergence
zbMATH Keywords: preconditioning
zbMATH Keywords: electromagnetic scattering
author: Armel de la Bourdonnaye
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
full work available at URL: s002110050091
OpenAlex ID: W2085097888
DOI: 10.1007/S002110050091
description: scientific article; zbMATH DE number 739410