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Adaptive Hierarchical Isogeometric Finite Element Methods
Anh-Vu Vuong
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Description for Adaptive Hierarchical Isogeometric Finite Element Methods
Paperback. Num Pages: 128 pages, 43 black & white illustrations, 20 colour illustrations, 13 black & white tables, biograp. BIC Classification: PBM. Category: (P) Professional & Vocational. Dimension: 211 x 149 x 8. Weight in Grams: 202.
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. 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.
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer Fachmedien Wiesbaden Germany
Number of pages
128
Condition
New
Number of Pages
128
Place of Publication
Weisbaden, Germany
ISBN
9783834824448
SKU
V9783834824448
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Anh-Vu Vuong
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.
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