Isogeometric Schwarz Preconditioners with Generalized B-Splines for the Biharmonic Problem

Isogeometric Schwarz Preconditioners with Generalized B-Splines for the Biharmonic Problem

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 subdomains and overlap sizes. Our analy...

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Bibliographic Details
Main Author: Durkbin Cho
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Axioms
Subjects:
domain decomposition methods
overlapping Schwarz methods
biharmonic problems
effective preconditioners
isogeometric analysis
generalized B-splines
Online Access:https://www.mdpi.com/2075-1680/12/5/452

Internet

https://www.mdpi.com/2075-1680/12/5/452

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