Volumetric Boundary Correspondence for Isogeometric Analysis Based on Unbalanced Optimal Transport

• Published in: Computer aided design Vol. 140; p. 103078
• Main Authors: Zheng, Ye, Chen, Falai
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 01.11.2021; Elsevier BV
• Subjects: Boundary correspondence; Correspondence; Domain parameterization; Domains; Isogeometric analysis; Mass transport; Optimization; Parameterization; Riemannian optimization; Sinkhorn’s algorithm; Unbalanced optimal transport; Isogeometric analysis; Sinkhorn’s algorithm; Domain parameterization; Boundary correspondence; Unbalanced optimal transport; Riemannian optimization

Domain parameterization, i.e., constructing a map from a parameter domain to a computational domain, is a key step in isogeometric analysis. Before parameterizing the interior of the computational domain, the boundary correspondence between the parametric domain and the computational domain is requi...