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Start Over Author "Kleiss, Stefan K." Topic adaptivity
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1. THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis.

Author

Giannelli, Carlotta, Jüttler, Bert, Kleiss, Stefan K., Mantzaflaris, Angelos, Simeon, Bernd, and Špeh, Jaka

Subjects
*ISOGEOMETRIC analysis, *MATHEMATICAL models, *SPLINE theory, *APPROXIMATION theory, *NUMERICAL solutions to partial differential equations
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]

Published
2016
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