Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Title
The Isogeometric Boundary Element Method / Gernot Beer, Benjamin Marussig, Christian Duenser.
ISBN
9783030233396 (electronic book)
3030233391 (electronic book)
3030233383
9783030233389
Publication Details
Cham : Springer, 2020.
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-23
10.1007/978-3-030-23339-6 doi
Call Number
TA347.B69
Dewey Decimal Classification
515/.35
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Series
Lecture notes in applied and computational mechanics ; v. 90.
Available in Other Form
Print version: 9783030233389
Introduction
The boundary integral equation
Basis functions, B-splines
Description of the geometry
Getting geometry information from CAD programs
Numerical treatment of integral equations
Numerical integration
Steady state potential problems
Static linear solid mechanics
Body force effects
Treatment of inhomogeneities/inclusions
Material non-linear behaviour
Applications in geomechanics
Viscous flow problems
Time dependent problems
Summary and outlook
Appendix A: Fundamental solutions.
