The Isogeometric Boundary Element Method: 90 (Lecture Notes in Applied and Computational Mechanics) - Softcover

Beer, Gernot; Marussig, Benjamin; Duenser, Christian

 
9783030233419: The Isogeometric Boundary Element Method: 90 (Lecture Notes in Applied and Computational Mechanics)
Softcover
ISBN 10: 3030233413 ISBN 13: 9783030233419
Verlag: Springer, 2020

Inhaltsangabe

This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.

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Über die Autorin bzw. den Autor

Gernot Beer is emeritus Professor at Graz University of Technology, Austria. He has been very active in promoting the Boundary Element Method and wrote 3 books on the topic, one published with Springer: The Boundary Element Method with Programming (2008).

Von der hinteren Coverseite

This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.

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Verlag
Springer
Erscheinungsdatum
2020
Sprache
Englisch
ISBN 10 
3030233413
ISBN 13 
9783030233419
Einband
Tapa blanda
Auflage
1
Anzahl der Seiten
352
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Deutschland

Weitere beliebte Ausgaben desselben Titels

9783030233389: The Isogeometric Boundary Element Method: 90 (Lecture Notes in Applied and Computational Mechanics)

Vorgestellte Ausgabe

ISBN 10:  3030233383 ISBN 13:  9783030233389
Verlag: Springer, 2019
Hardcover