Solving Partial Differential Equations on Surfaces with Fundamental Solutions
The aim of this paper is to present partial differential equations (PDEs) on surface to the community of methods of fundamental solutions (MFS). First, we present an embedding formulation to embed surface PDEs into a domain so that MFS can be applied afte
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ances in Trefftz Methods and Their Applications
Se MA
SEMA SIMAI Springer Series Volume 23
Editors-in-Chief Luca Formaggia, MOX-Department of Mathematics, Politecnico di Milano, Milano, Italy Pablo Pedregal, ETSI Industriales, University of Castilla-La Mancha, Ciudad Real, Spain Series Editors Mats G. Larson, Department of Mathematics, Umeå University, Umeå, Sweden Tere Martínez-Seara Alonso, Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain Carlos Parés, Facultad de Ciencias, Universidad de Málaga, Málaga, Spain Lorenzo Pareschi, Dipartimento di Matematica e Informatica, Università degli Studi di Ferrara, Ferrara, Italy Andrea Tosin, Dipartimento di Scienze Matematiche “G. L. Lagrange”, Politecnico di Torino, Torino, Italy Elena Vázquez-Cendón, Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, A Coruña, Spain Paolo Zunino, Dipartimento di Matemática, Politecnico di Milano, Milano, Italy
As of 2013, the SIMAI Springer Series opens to SEMA in order to publish a joint series aiming to publish advanced textbooks, research-level monographs and collected works that focus on applications of mathematics to social and industrial problems, including biology, medicine, engineering, environment and finance. Mathematical and numerical modeling is playing a crucial role in the solution of the complex and interrelated problems faced nowadays not only by researchers operating in the field of basic sciences, but also in more directly applied and industrial sectors. This series is meant to host selected contributions focusing on the relevance of mathematics in real life applications and to provide useful reference material to students, academic and industrial researchers at an international level. Interdisciplinary contributions, showing a fruitful collaboration of mathematicians with researchers of other fields to address complex applications, are welcomed in this series. THE SERIES IS INDEXED IN SCOPUS
More information about this series at http://www.springer.com/series/10532
Carlos Alves • Andreas Karageorghis • Vitor Leitão • Svilen Valtchev Editors
Advances in Trefftz Methods and Their Applications
Editors Carlos Alves Mathematics, CEMAT Instituto Superior Técnico, University of Lisbon Lisboa, Portugal Vitor Leitão Instituto Superior Técnico University of Lisbon Lisboa, Portugal
Andreas Karageorghis Mathematics and Statistics University of Cyprus Nicosia, Cyprus
Svilen Valtchev CEMAT Instituto Superior Técnico University of Lisbon Lisboa, Portugal
ISSN 2199-3041 ISSN 2199-305X (electronic) SEMA SIMAI Springer Series ISBN 978-3-030-52803-4 ISBN 978-3-030-52804-1 (eBook) https://doi.org/10.1007/978-3-030-52804-1 © The Editor(s) (if applicable) and The Author(s), under exclusive licence to Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, reci
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