Solving Maxwell's equations using the ultra weak variational formulation
type: Item
instance of: scholarly article
title: Solving Maxwell's equations using the ultra weak variational formulation
zbMATH Open document ID: 1117.78011
published in: Journal of Computational Physics
publication date: 2007-05-23T00:00:00Z
review text: This paper is concerned with the development and validation of the ultra weak variational formulation (UWVF) for Maxwell's equations. This method is based on a volume mesh and uses plane wave solutions of the Maxwell system on each element in the grid in the discretization procedure. It is also shown that the method can solve scattering problems such as scattering in a layered medium and scattering from a sphere where exact solutions are available. Potential future developments of the UWVF include: (i) theoretical estimates for the error and condition number for the UWVF; (ii) reduction in the number of directions in the plane wave basis; (iii) a better parametrization of surfaces and interfaces in the computational mesh; (iv) to improve the accuracy of the UWVF near singularities.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 78M30
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 49S05
Mathematics Subject Classification ID: 83C22
zbMATH DE Number: 5156474
zbMATH Keywords: plane wave
zbMATH Keywords: variational method
zbMATH Keywords: electromagnetism
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: numerical methods
zbMATH Keywords: ultra weak variational formulation
author: Tomi Huttunen
author: Matti Malinen
author: Peter Monk
describes a project that uses: COMSOL
MaRDI profile type: Publication
full work available at URL: j.jcp.2006.10.016
OpenAlex ID: W2051710235
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DOI: 10.1016/J.JCP.2006.10.016
description: scientific article; zbMATH DE number 5156474