Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6917563 | Computer Methods in Applied Mechanics and Engineering | 2014 | 20 Pages |
Abstract
Isogeometric collocation methods are very recent and promising numerical schemes that preserve the advantages of isogeometric analysis but often exhibit better performances than their Galerkin counterparts. In the present paper, an additive overlapping Schwarz method for isogeometric collocation discretizations is introduced and studied. The resulting preconditioner, accelerated by GMRES, is shown to be scalable with respect to the number of subdomains and very robust with respect to the isogeometric discretization parameters such as the mesh size and polynomial degree, as well as with respect to the presence of discontinuous elliptic coefficients and domain deformations.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
L. Beirão da Veiga, D. Cho, L.F. Pavarino, S. Scacchi,