Overview
Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 131)
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Table of contents (22 papers)
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Front Matter
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Voronoi Meshing: Theory, Algorithms, and Applications
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Front Matter
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Mesh-Based Methods of Optimization and Optimal Control
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Front Matter
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Numerical Geometry and Simulation
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Front Matter
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Keywords
About this book
The focus of these conference proceedings is on research, development, and applications in the fields of numerical geometry, scientific computing and numerical simulation, particularly in mesh generation and related problems. In addition, this year’s special focus is on Voronoi diagrams and their applications, celebrating the 150th birthday of G.F. Voronoi.
In terms of content, the book strikes a balance between engineering algorithms and mathematical foundations. It presents an overview of recent advances in numerical geometry, grid generation and adaptation in terms of mathematical foundations, algorithm and software development and applications.
The specific topics covered include: quasi-conformal and quasi-isometric mappings, hyperelastic deformations, multidimensional generalisations of the equidistribution principle, discrete differential geometry, spatial and metric encodings, Voronoi-Delaunay theory for tilings and partitions, duality in mathematical programming and numerical geometry, mesh-based optimisation and optimal control methods. Further aspects examined include iterative solvers for variational problems and algorithm and software development. The applications of the methods discussed are multidisciplinary and include problems from mathematics, physics, biology, chemistry, material science, and engineering.Editors and Affiliations
Bibliographic Information
Book Title: Numerical Geometry, Grid Generation and Scientific Computing
Book Subtitle: Proceedings of the 9th International Conference, NUMGRID 2018 / Voronoi 150, Celebrating the 150th Anniversary of G.F. Voronoi, Moscow, Russia, December 2018
Editors: Vladimir A. Garanzha, Lennard Kamenski, Hang Si
Series Title: Lecture Notes in Computational Science and Engineering
DOI: https://doi.org/10.1007/978-3-030-23436-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-23435-5Published: 11 October 2019
Softcover ISBN: 978-3-030-23438-6Published: 12 October 2020
eBook ISBN: 978-3-030-23436-2Published: 10 October 2019
Series ISSN: 1439-7358
Series E-ISSN: 2197-7100
Edition Number: 1
Number of Pages: XXI, 320
Number of Illustrations: 53 b/w illustrations, 107 illustrations in colour
Topics: Computational Mathematics and Numerical Analysis, Mathematics of Computing, Calculus of Variations and Optimal Control; Optimization, Mathematical Applications in the Physical Sciences