Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4952773 | Computer Aided Geometric Design | 2016 | 22 Pages |
Abstract
Based on Grimm and Hughes (1995) we introduce and study a mathematical framework for analysis-suitable unstructured B-spline spaces. In this setting the parameter domain has a manifold structure which allows for the definition of function spaces such as, for instance, B-splines over multi-patch domains with extraordinary points or analysis-suitable unstructured T-splines. Within this framework, we generalize the concept of dual-compatible B-splines (developed for structured T-splines in Beirão da Veiga et al. (2013)). This allows us to prove the key properties that are needed for isogeometric analysis, such as linear independence and optimal approximation properties for h-refined meshes.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Giancarlo Sangalli, Thomas Takacs, Rafael Vázquez,