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dc.creatorCalvo Alpízar, Juan Gabriel
dc.description.abstractA new coarse space for domain decomposition methods is presented for nodal ellipticproblems in two dimensions. The coarse space is derived from the novel virtual elementmethods and therefore can accommodate quite irregular polygonal subdomains. It hasthe advantage with respect to previous studies that no discrete harmonic extensionsare required. The virtual element method allows us to handle polygonal meshes andthe algorithm can then be used as a preconditioner for linear systems that arise froma discretization with such triangulations. A bound is obtained for the condition numberof the preconditioned system by using a two-level overlapping Schwarz algorithm, butthe coarse space can also be used for different substructuring methods. This bound isindependent of jumps in the coefficient across the interface between the subdomains.Numerical experiments that verify the result are shown, including some with triangular,square, hexagonal and irregular elements and with irregular subdomains obtained by a mesh partitioneres_ES
dc.sourceComputers & Mathematics with Applications; Vol. 77(4)es_ES
dc.subjectOverlapping Schwarz algorithmses_ES
dc.subjectNodal elliptic problemses_ES
dc.subjectDomain Decompositiones_ES
dc.subjectIrregular subdomain boundarieses_ES
dc.subjectVirtual element methodses_ES
dc.titleAn overlapping Schwarz method for virtual element discretizations in two dimensionses_ES
dc.description.procedenceUCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemáticas Puras y Aplicadas (CIMPA)es_ES

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