Adaptive Hierarchical Isogeometric Finite Element Methods (Paperback)

Anh-Vu Vuong

ISBN 10: 3834824445 / ISBN 13: 9783834824448

Published by Springer Fachmedien Wiesbaden, Weisbaden, 2012

Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783834824448

Synopsis:

​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.

About the Author:

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.

Bibliographic Details

Title: Adaptive Hierarchical Isogeometric Finite ...
Publisher: Springer Fachmedien Wiesbaden, Weisbaden
Publication Date: 2012
Binding: Paperback
Condition: new