About: A numerical minimization scheme for the complex Helmholtz equation

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/m2an/2011/volume_46/issue_1/w
Subject	finite element methods Helmholtz equation Variational methods Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods Variational methods
Title	A numerical minimization scheme for the complex Helmholtz equation
Date	2011-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/m2an/2011/volume_46/issue_1/m2an110017/m/web http://hub.abes.fr/edp/periodical/m2an/2011/volume_46/issue_1/m2an110017/m/print
related by	http://hub.abes.fr/edp/periodical/m2an/2011/volume_46/issue_1/m2an110017/authorship/1 http://hub.abes.fr/edp/periodical/m2an/2011/volume_46/issue_1/m2an110017/authorship/2
Author	Dobson, David C. Richins, Russell B.
Abstract	We use the work of Milton, Seppecher, and Bouchitté on variational principles for waves in lossy media to formulate a finite element method for solving the complex Helmholtz equation that is based entirely on minimization. In particular, this method results in a finite element matrix that is symmetric positive-definite and therefore simple iterative descent methods and preconditioning can be used to solve the resulting system of equations. We also derive an error bound for the method and illustrate the method with numerical experiments.
article type	research-article
publisher identifier	m2an110017
Date Copyrighted	2011-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 2011
Rights Holder	EDP Sciences, SMAI
is part of this journal	RAIRO. Analyse numérique
is primary topic of	http://hub.abes.fr/edp/periodical/m2an/2011/volume_46/issue_1/m2an110017/w/record

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