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THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis.
- Source :
-
Computer Methods in Applied Mechanics & Engineering . Feb2016, Vol. 299, p337-365. 29p. - Publication Year :
- 2016
-
Abstract
- Local refinement with hierarchical B-spline structures is an active topic of research in the context of geometric modeling and isogeometric analysis. By exploiting a multilevel control structure, we show that truncated hierarchical B-spline (THB-spline) representations support interactive modeling tools, while simultaneously providing effective approximation schemes for the manipulation of complex data sets and the solution of partial differential equations via isogeometric analysis. A selection of illustrative 2D and 3D numerical examples demonstrates the potential of the hierarchical framework. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00457825
- Volume :
- 299
- Database :
- Academic Search Index
- Journal :
- Computer Methods in Applied Mechanics & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 111824928
- Full Text :
- https://doi.org/10.1016/j.cma.2015.11.002