Adaptive Hierarchical Isogeometric Finite Element Methods
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 th
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Anh-Vu Vuong
Adaptive Hierarchical Isogeometric Finite Element Methods
Preface by Prof. Dr. Bernd Simeon
RESEARCH
Anh-Vu Vuong Kaiserslautern, Germany
Vollständiger Abdruck der von der Fakultät für Mathematik der Technischen Universität München zur Erlangung des akademischen Grades eines Doktors der Naturwissenschaften (Dr. rer. nat.) genehmigten Dissertation.
ISBN 978-3-8348-2444-8 DOI 10.1007/978-3-8348-2445-5
ISBN 978-3-8348-2445-5 (eBook)
The Deutsche Nationalbibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data are available in the Internet at http://dnb.d-nb.de.
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Preface
The present monograph is devoted to merge two so far disjoint disciplines, namely geometry and simulation. While geometry and its descendant Computer Aided Geometric Design (CAGD) are concerned with questions of size, shape and the properties of space, numerical simulation deals with discretization methods and their efficient implementation. Intrinsic geometric structures - such as the curved surface of an object or
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