Overview
- Authors:
-
-
Gernot Beer
-
Institute of Structural Analysis, Graz University of Technology, Graz, Austria
-
Benjamin Marussig
-
Graz Center of Computational Engineering, Graz University of Technology, Graz, Austria
-
Christian Duenser
-
Institute of Structural Analysis, Graz University of Technology, Graz, Austria
- Intended for mathematicians, engineers, graduate students and practitioners working on and using boundary element methods
- Presents numerous examples demonstrating the superiority of the isogeometric BEM (IGABEM) over the conventional BEM
- The only book on the market dealing with this special topic
Access this book
Other ways to access
Table of contents (17 chapters)
-
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 1-12
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 13-34
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 35-71
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 73-92
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 93-102
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 103-127
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 129-149
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 151-168
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 169-183
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 185-216
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 217-228
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 229-248
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 249-259
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 261-279
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 281-305
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 307-317
-
- Gernot Beer, Benjamin Marussig, Christian Duenser
Pages 319-320
-
Back Matter
Pages 321-335
About this book
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.
About the authors
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).
