H1-parametrizations of complex planar physical domains in Isogeometric analysis

Meng Wu 1 Bernard Mourrain 2 André Galligo 3 Boniface Nkonga 3, 4
2 AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes
CRISAM - Inria Sophia Antipolis - Méditerranée , National and Kapodistrian University of Athens
4 CASTOR - Control, Analysis and Simulations for TOkamak Research
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : Isogeometric analysis (IGA) is a method for solving geometric partial differential equations(PDEs). Generating parameterizations of a PDE's physical domain is the basic and important issues within IGA framework. In this paper , we present a global H 1-parameterization method for a planar physical domain with complex topology.
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Meng Wu, Bernard Mourrain, André Galligo, Boniface Nkonga. H1-parametrizations of complex planar physical domains in Isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2017, 318, pp.296-318. ⟨10.1016/j.cma.2017.01.025⟩. ⟨hal-01196435v3⟩

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