Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
497771 | Computer Methods in Applied Mechanics and Engineering | 2016 | 29 Pages |
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.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Carlotta Giannelli, Bert Jüttler, Stefan K. Kleiss, Angelos Mantzaflaris, Bernd Simeon, Jaka Špeh,