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Two-dimensional domain decomposition based on skeleton computation for parameterization and isogeometric analysis
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DOI：10.1016/j.cma.2014.09.026.png)
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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. (C) 2014 Elsevier B.V. All rights reserved.
Keyword:
Parameterization
Isogeometric analysis
Skeleton
Domain decomposition
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期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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