Photo by siggi81p from unsplash
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… Click to show full 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 subdomains and overlap sizes. Our analysis is validated through a set of numerical experiments that illustrate good behavior of the proposed preconditioner with respect to the model parameters.
Keywords:
preconditioners generalized;
schwarz preconditioners;
isogeometric schwarz;
splines biharmonic;
schwarz;
generalized splines
Journal Title: Axioms
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Axioms
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!