Overlapping Schwarz methods for isogeometric analysis based on generalized B-splines
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113430
Abstract: Abstract Generalized B-splines (GB-splines) are a special class of Tchebycheff B-splines that are smooth piecewise function with sections in more general spaces. GB-splines allow for an exact representation of conic sections as well as transcendental… read more here.
Keywords: overlapping schwarz; schwarz methods; isogeometric analysis; generalized splines ... See more keywords
Isogeometric Schwarz Preconditioners with Generalized B-Splines for the Biharmonic Problem
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DOI: 10.3390/axioms12050452
Abstract: We construct an overlapping additive Schwarz preconditioner for the biharmonic Dirichlet problems discretized by isogeometric analysis based on generalized B-splines (GB-splines) and analyze its optimal convergence rate bound that is cubic in the ratio between… read more here.
Keywords: preconditioners generalized; schwarz preconditioners; isogeometric schwarz; splines biharmonic ... See more keywords
Overlapping Schwarz Preconditioners for Isogeometric Collocation Methods Based on Generalized B-Splines
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DOI: 10.3390/axioms14060397
Abstract: We study overlapping additive Schwarz (OAS) preconditioners for the solution of elliptic boundary value problems discretized using isogeometric collocation methods based on generalized B-splines (GB-splines). Through a series of numerical experiments, we demonstrate the scalability… read more here.
Keywords: schwarz; methods based; collocation methods; isogeometric collocation ... See more keywords