Overview
- First reference book on the topic
- Wide range of applications of engineering interest
- Wide range of new generation numerical methods
Part of the book series: SEMA SIMAI Springer Series (SEMA SIMAI, volume 27)
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About this book
The last few years have witnessed a surge in the development and usage of discretization methods supporting general meshes in geoscience applications. The need for general polyhedral meshes in this context can arise in several situations, including the modelling of petroleum reservoirs and basins, CO2 and nuclear storage sites, etc. In the above and other situations, classical discretization methods are either not viable or require ad hoc modifications that add to the implementation complexity. Discretization methods able to operate on polyhedral meshes and possibly delivering arbitrary-order approximations constitute in this context a veritable technological jump. The goal of this monograph is to establish a state-of-the-art reference on polyhedral methods for geoscience applications by gathering contributions from top-level research groups working on this topic. This book is addressed to graduate students and researchers wishing to deepen their knowledge ofadvanced numerical methods with a focus on geoscience applications, as well as practitioners of the field.
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Keywords
Table of contents (8 chapters)
Editors and Affiliations
About the editors
Luca Formaggia is Full Professor of Numerical Analysis since 2006 at Politecnico di Milano, Italy. He is author of more than 100 publications and Editor of 5 scientific Books published by Springer-Nature and Birkhauser. His scientific work addresses the study of numerical methods for partial differential equations, scientific computing, computational fluid dynamics with applications to computational geosciences, biomedicine and industrial problems. Currently, he is the President of the Italian Society of Applied and Industrial Mathematics and was the Head of the MOX Laboratory of Politecnico di Milano from 2012 to 2016. Over his career, he has supervised around 40 among PhD students and post-docs. He is the co-Char of the 19th edition of the SIAM Conference on Mathematical and Computational Issues in the Geosciences.
Roland Masson is full professor of Mathematics at the University Côte d’Azur since 2011, member of the Jean-Alexandre Dieudonné department of Mathematics and of the Inria team Coffee. He was previously head of the Applied Mathematics department of the Institut Français du Pétrole (IFP) from 2000 to 2011. He received his PhD in Mathematics from Sorbonne University in 1999 and his Habilitation from Paris East University in 2006. He is an expert in numerical methods and scientific computing for subsurface flow and transport problems.
Bibliographic Information
Book Title: Polyhedral Methods in Geosciences
Editors: Daniele Antonio Di Pietro, Luca Formaggia, Roland Masson
Series Title: SEMA SIMAI Springer Series
DOI: https://doi.org/10.1007/978-3-030-69363-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-69362-6Published: 15 June 2021
Softcover ISBN: 978-3-030-69365-7Published: 16 June 2022
eBook ISBN: 978-3-030-69363-3Published: 14 June 2021
Series ISSN: 2199-3041
Series E-ISSN: 2199-305X
Edition Number: 1
Number of Pages: XIII, 332
Number of Illustrations: 19 b/w illustrations, 86 illustrations in colour
Topics: Computational Mathematics and Numerical Analysis, Geotechnical Engineering & Applied Earth Sciences, Analysis, Applications of Mathematics, Computational Science and Engineering