书目名称 | The Isogeometric Boundary Element Method |
编辑 | Gernot Beer,Benjamin Marussig,Christian Duenser |
视频video | |
概述 | Intended for mathematicians, engineers, graduate students and practitioners working on and using boundary element methods.Presents numerous examples demonstrating the superiority of the isogeometric B |
丛书名称 | Lecture Notes in Applied and Computational Mechanics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2020 |
关键词 | isogeometric analysis; boundary element method; computer aided design; time dependent problems; viscous |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-23339-6 |
isbn_softcover | 978-3-030-23341-9 |
isbn_ebook | 978-3-030-23339-6Series ISSN 1613-7736 Series E-ISSN 1860-0816 |
issn_series | 1613-7736 |
copyright | Springer Nature Switzerland AG 2020 |