Details
Adaptive Hierarchical Isogeometric Finite Element Methods
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53,49 € |
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| Verlag: | Vieweg & Teubner |
| Format: | |
| Veröffentl.: | 01.05.2012 |
| ISBN/EAN: | 9783834824455 |
| Sprache: | englisch |
| Anzahl Seiten: | 128 |
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Beschreibungen
Isogeometric finite elements combine the numerical solution of partial differential equations and the description of the computational domain given by rational splines from computer aided geometric design. This work gives a well-founded introduction to this topic and then extends isogeometric finite elements by a local refinement technique, which is essential for an efficient adaptive simulation. Thereby a hierarchical approach is adapted to the numerical requirements and the relevant theoretical properties of the basis are ensured. The computational results suggest the increased efficiency and the potential of this local refinement method.
<p>Introduction.– Prerequisites from Applied Geometry and Spline Theory. – Mathematical Models and Finite Element Analysis. – Isogeometric Analysis. – Local Refinement for Isogeometric Analysis. – Conclusions.</p>
<p>Anh-Vu Vuong received his doctor’s degree under supervision of Prof. Dr. Bernd Simeon at the Centre for Mathematical Sciences of the TU Munich in the context of the research project EXCITING funded by the European Union. He now works at the Felix-Klein-Centre for Mathematics of the University of Kaiserslautern.<b></b></p>
<p>Isogeometric finite elements combine the numerical solution of partial differential equations and the description of the computational domain given by rational splines from computer aided geometric design. This work gives a well-founded introduction to this topic and then extends isogeometric finite elements by a local refinement technique, which is essential for an efficient adaptive simulation. Thereby a hierarchical approach is adapted to the numerical requirements and the relevant theoretical properties of the basis are ensured. The computational results suggest the increased efficiency and the potential of this local refinement method.</p>
publication in the field of natural and mathematical sciences
<p>Isogeometric finite elements combine the numerical solution of partial differential equations and the description of the computational domain given by rational splines from computer aided geometric design. This work gives a well-founded introduction to this topic and then extends isogeometric finite elements by a local refinement technique, which is essential for an efficient adaptive simulation. Thereby a hierarchical approach is adapted to the numerical requirements and the relevant theoretical properties of the basis are ensured. The computational results suggest the increased efficiency and the potential of this local refinement method.</p>
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