Adaptive Hierarchical Isogeometric Finite Element Methods - Softcover

Vuong, Anh-Vu

Softcover

ISBN 10: 3834824445 ISBN 13: 9783834824448

Publisher: Vieweg+Teubner Verlag, 2012

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 this title

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.

From the Back Cover

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.

Edition details

• Publisher: Vieweg+Teubner Verlag
• Publication date: 2012
• Language: English
• ISBN 10: 3834824445
• ISBN 13: 9783834824448
• Binding: Paperback
• Number of pages: 148