Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
497796 | Computer Methods in Applied Mechanics and Engineering | 2015 | 15 Pages |
•Two-dimensional domains are decomposed into subdomains based on skeleton computation.•Domain partition provides better parameterization than a one-patch representation.•The new parameterization is superior to other techniques in isogeometric analysis.
This paper proposes a method for decomposing two-dimensional domains into subdomains for parameterization and isogeometric analysis. Given a complex domain in a plane, the skeleton of the domain is computed to guide the domain decomposition. A continuous parameterization of the domain is then obtained by parameterizing each respective subdomain. This parameterization method is applied with isogeometric analysis to solve numerical PDEs over two-dimensional domains. Examples are provided to demonstrate that the new parameterization method is superior to other state-of-the-art parameterization techniques and that it performs better in isogeometric analysis.