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
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
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