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dc.contributor.advisorWidlund, Olof B.
dc.creatorCalvo Alpízar, Juan Gabriel
dc.date.accessioned2018-07-03T15:52:01Z
dc.date.available2018-07-03T15:52:01Z
dc.date.issued2015-05
dc.identifier.citationhttps://cs.nyu.edu/media/publications/TR2015-974.pdfes_ES
dc.identifier.citationhttps://search.proquest.com/docview/1754416536/fulltextPDF/88A086563B514623PQ/1?accountid=28692
dc.identifier.isbn9781339328577
dc.identifier.urihttp://hdl.handle.net/10669/75137
dc.description.abstractTwo domain decomposition methods for solving vector field problems posed in H(curl) and discretized with Nedelec finite elements are considered. These finite elements are conforming in H(curl). A two-level overlapping Schwarz algorithm in two dimensions is analyzed, where the subdomains are only assumed to be uniform in the sense of Peter Jones. The coarse space is based on energy minimization and its dimension equals the number of interior subdomain edges. Local direct solvers are based on the overlapping subdomains. The bound for the condition number depends only on a few geometric parameters of the decomposition. This bound is independent of jumps in the coefficients across the interface between the subdomains for most of the different cases considered. A bound is also obtained for the condition number of a balancing domain decomposition by constraints (BDDC) algorithm in two dimensions, with Jones subdomains. For the primal variable space, a continuity constraint for the tangential average over each interior subdomain edge is imposed. For the averaging operator, a new technique named deluxe scaling is used. The optimal bound is independent of jumps in the coefficients across the interface between the subdomains. Furthermore, a new coarse function for problems in three dimensions is introduced, with only one degree of freedom per subdomain edge. In all the cases, it is established that the algorithms are scalable. Numerical results that verify the results are provided, including some with subdomains with fractal edges and others obtained by a mesh partitioner.es_ES
dc.language.isoen_USes_ES
dc.sourceNueva York, Estados Unidos: New York Universityes_ES
dc.subjectPure scienceses_ES
dc.subjectApplied scienceses_ES
dc.subjectBDDCes_ES
dc.subjectDomain Decompositiones_ES
dc.subjectPreconditionerses_ES
dc.subjectMaxwell's equationses_ES
dc.subjectOverlapping Schwarzes_ES
dc.subject512.4 Anilloses_ES
dc.titleDomain Decomposition Methods for Problems in H(curl)es_ES
dc.typeinfo:eu-repo/semantics/doctoralThesises_ES
dc.typeTesis de doctoradoes_ES
dc.description.procedenceUCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemáticaes_ES


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