Adaptive hierarchical isogeometric finit
β Vuong A.-V
π Library
π
2012
π Teubner
π English
β¦ LIBER β¦
π
Adaptive Hierarchical Isogeometric Finite Element Methods
β Scribed by Anh-Vu Vuong (auth.)
- Publisher
- Vieweg+Teubner Verlag
- Year
- 2012
- Tongue
- English
- Leaves
- 138
- Edition
- 1
- Category
- Library
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No coin nor oath required. For personal study only.
β¦ Synopsis
βIsogeometric 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.
β¦ Table of Contents
Front Matter....Pages I-XIX
Introduction....Pages 1-5
Prerequisites from Applied Geometry and Spline Theory....Pages 7-18
Mathematical Modelling and Finite Element Analysis....Pages 19-45
Isogeometric Analysis....Pages 47-78
Local Refinement for Isogeometric Analysis....Pages 79-114
Conclusions....Pages 115-115
Back Matter....Pages 117-127
β¦ Subjects
Mathematics, general
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