Mutigrid preconditioner for nonconforming discretization of elliptic problems with jump coefficients

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dc.contributor.author	Ayuso de Dios, Blanca
dc.contributor.author	Holst, M.
dc.contributor.author	Zhu, Y.
dc.contributor.author	Zikatanov, Ludmil
dc.contributor.author	Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
dc.date	2011
dc.identifier	https://ddd.uab.cat/record/181533
dc.identifier	urn:oai:ddd.uab.cat:181533
dc.format	application/pdf
dc.language	eng
dc.publisher	Centre de Recerca Matemàtica
dc.relation	Centre de Recerca Matemàtica. Prepublicacions ;
dc.rights	open access
dc.rights	L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:
dc.rights	https://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subject	Matemàtiques
dc.title	Mutigrid preconditioner for nonconforming discretization of elliptic problems with jump coefficients
dc.type	Article
dc.type	Prepublicació
dc.description.abstract	In this paper, we present a multigrid preconditioner for solving the linear system arising from the piecewise linear nonconforming Crouzeix-Raviart discretization of second order elliptic problems with jump coe fficients. The preconditioner uses the standard conforming subspaces as coarse spaces. Numerical tests show both robustness with respect to the jump in the coe fficient and near-optimality with respect to the number of degrees of freedom.