Overview
- Presents advances in cutting-edge technologies for the numerical discretization of physical problems
- Includes contributions from engineers and mathematicians alike
- Pursues a more explanatory approach than classical journal papers
Part of the book series: SEMA SIMAI Springer Series (SEMA SIMAI, volume 12)
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About this book
This book gathers selected contributions on emerging research work presented at the International Conference eXtended Discretization MethodS (X-DMS), held in Ferrara in September 2015. It highlights the most relevant advances made at the international level in the context of expanding classical discretization methods, like finite elements, to the numerical analysis of a variety of physical problems. The improvements are intended to achieve higher computational efficiency and to account for special features of the solution directly in the approximation space and/or in the discretization procedure. The methods described include, among others, partition of unity methods (meshfree, XFEM, GFEM), virtual element methods, fictitious domain methods, and special techniques for static and evolving interfaces. The uniting feature of all contributions is the direct link between computational methodologies and their application to different engineering areas.
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Keywords
Table of contents (12 chapters)
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Front Matter
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Enriched Methods for Flow and Mechanics in Heterogeneous Media
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Front Matter
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Enhanced Finite Element Formulations for Fracture and Interface Problems
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Front Matter
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Polygonal and Polyhedral Methods
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Front Matter
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Advances in XFEM/Fictitious Domain Methods
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Front Matter
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Editors and Affiliations
Bibliographic Information
Book Title: Advances in Discretization Methods
Book Subtitle: Discontinuities, Virtual Elements, Fictitious Domain Methods
Editors: Giulio Ventura, Elena Benvenuti
Series Title: SEMA SIMAI Springer Series
DOI: https://doi.org/10.1007/978-3-319-41246-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-41245-0Published: 06 September 2016
Softcover ISBN: 978-3-319-82306-5Published: 12 June 2018
eBook ISBN: 978-3-319-41246-7Published: 24 August 2016
Series ISSN: 2199-3041
Series E-ISSN: 2199-305X
Edition Number: 1
Number of Pages: VIII, 269
Number of Illustrations: 36 b/w illustrations, 97 illustrations in colour
Topics: Mathematical and Computational Engineering, Computational Mathematics and Numerical Analysis, Numerical and Computational Physics, Simulation