Advances in Trefftz Methods and Their Applications / SEMA SIMAI Springer Series Bd.23 (PDF)
In this book we gather recent mathematical developments and engineering applications of Trefftz methods, with particular emphasis on the Method of Fundamental Solutions (MFS). These are true meshless methods that have the advantage of avoiding the...
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In this book we gather recent mathematical developments and engineering applications of Trefftz methods, with particular emphasis on the Method of Fundamental Solutions (MFS). These are true meshless methods that have the advantage of avoiding the need to set up a mesh altogether, and therefore going beyond the reduction of the mesh to a boundary. These Trefftz methods have advantages in several engineering applications, for instance in inverse problems where the domain is unknown and some numerical methods would require a remeshing approach.
Trefftz methods are also known to perform very well with regular domains and regular data in boundary value problems, achieving exponential convergence. On the other hand, they may also under certain conditions, exhibit instabilities and lead to ill-conditioned systems.
This book is divided into ten chapters that illustrate recent advances in Trefftz methods and their application to engineering problems. Thefirst eight chapters are devoted to the MFS and variants whereas the last two chapters are devoted to related meshless engineering applications. Part of these selected contributions were presented in the 9th International Conference on Trefftz Methods and 5th International Conference on the MFS, held in 2019, July 29-31, in Lisbon, Portugal.
Andreas Karageorghis completed both his undergraduate and graduate studies at the University of Oxford and had held positions at the University of Kentucky, the University of Wales and Southern Methodist University. Currently, he is a Professor at the University of Cyprus in the department of Mathematics and Statistics. He has published over 150 research papers in international journals and his research interests include numerical algorithms and scientific computing.
Vitor Leitão graduated from Instituto Superior Técnico of the Technical University of Lisbon, Portugal, and received his Ph.D from the University of Portsmouth, UK. He is currently an Associate Professor of Civil Engineering at Instituto Superior Técnico of the Technical University of Lisbon. He has been the author or co-author of around 100 research works, co-editor of 8 conference proceedings books and special issues, and has been a member in the editorial board of Eng. Anal. Bound. Elements. His current research interests include meshless methods, in particular radial basis functions and fundamental solutions for structural mechanics applications.
Svilen S. Valtchev graduated from the Instituto Superior Técnico of the University of Lisbon where he was also a teaching assistant, and received his Ph.D. in Mathematics from the same university. He is currently an Assistant Professor at the Polytechnic of Leiria anda Researcher at Center for
- 2020, 1st ed. 2020, 203 Seiten, Englisch
- Herausgegeben: Carlos Alves, Andreas Karageorghis, Vitor Leitão, Svilen Valtchev
- Verlag: Springer International Publishing
- ISBN-10: 3030528049
- ISBN-13: 9783030528041
- Erscheinungsdatum: 30.09.2020
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- Grösse: 13 MB
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