Adaptive Hierarchical Isogeometric Finite Element Methods

Anh-Vu Vuong

ISBN 10: 3834824445 / ISBN 13: 9783834824448

Verlag: Vieweg+Teubner, Vieweg+Teubner Verlag Mai 2012, 2012

Beschreibung

Neuware - 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.

Bestandsnummer des Verkäufers 9783834824448

Bibliografische Details

• Titel: Adaptive Hierarchical Isogeometric Finite Element Methods
• Verlag: Vieweg+Teubner, Vieweg+Teubner Verlag Mai 2012
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 3834824445
• ISBN-13: 9783834824448
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 210B x 148 H x 32 T Millimeter Breite: 210 mm, Höhe: 148 mm, Tiefe: 32 mm
• Gewicht: 206 Gramm

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

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.