ENGLISH

Adaptive Hierarchical Isogeometric Finite Element Methods

By Anh-Vu Vuong (auth.)

Book information

Publisher
Vieweg+Teubner Verlag
Year
2012
ISBN
978-3-8348-2444-8, 978-3-8348-2445-5
DOI
10.1007/978-3-8348-2445-5
Language
english
Format
PDF
Filesize
1 MB (1373498 bytes)
Edition
1
Pages
128\138
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
generalMathematics

Description

​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.

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