About: Fast and accurate finite element approximation of wave maps into spheres

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/m2an/2015/volume_49/issue_2/w
Subject	discretization wave maps Nonlinear second-order hyperbolic equations PDEs in connection with relativity and gravitational theory Hyperbolic equations Stability and convergence of numerical methods Geometric evolution problem nonlinear partial differential equation
Title	Fast and accurate finite element approximation of wave maps into spheres
Date	2015-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/m2an/2015/volume_49/issue_2/m2an141013/m/print http://hub.abes.fr/edp/periodical/m2an/2015/volume_49/issue_2/m2an141013/m/web
related by	http://hub.abes.fr/edp/periodical/m2an/2015/volume_49/issue_2/m2an141013/authorship/1
Author	Bartels, Sören
Abstract	A constraint preserving numerical method for the approximation of wave maps into spheres is presented. The scheme has a second order consistency property and is energy preserving and reversible. Its unconditional convergence to an exact solution is proved. A fixed point iteration allows for a solution of the nonlinear system of equations in each time step under a moderate step size restriction.
article type	research-article
publisher identifier	m2an141013
Date Copyrighted	2015-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 2015
Rights Holder	EDP Sciences, SMAI
is part of this journal	RAIRO. Analyse numérique
is primary topic of	http://hub.abes.fr/edp/periodical/m2an/2015/volume_49/issue_2/m2an141013/w/record

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