Numerical Geometry, Grid Generation and Scientific Computing
Proceedings of the 9th International Conference, NUMGRID 2018 / Voronoi 150, Celebrating the 150th Anniversary of G.F. Voronoi, Moscow, Russia, December 2018
Editors: Garanzha, Vladimir A., Kamenski, Lennard, Si, Hang (Eds.)
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- About this book
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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.
- Table of contents (22 chapters)
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Secondary Power Diagram, Dual of Secondary Polytope
Pages 3-24
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Structured Orthogonal Near-Boundary Voronoi Mesh Layers for Planar Domains
Pages 25-44
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Why Do We Need Voronoi Cells and Delaunay Meshes?
Pages 45-60
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A Simple Algorithm to Triangulate a Special Class of 3d Non-convex Polyhedra Without Steiner Points
Pages 61-71
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Voronoi Finite Volumes and Pressure Robust Finite Elements for Electrolyte Models with Finite Ion Sizes
Pages 73-83
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Table of contents (22 chapters)
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Bibliographic Information
- Bibliographic Information
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- 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
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- Vladimir A. Garanzha
- Lennard Kamenski
- Hang Si
- Series Title
- Lecture Notes in Computational Science and Engineering
- Series Volume
- 131
- Copyright
- 2019
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-23436-2
- DOI
- 10.1007/978-3-030-23436-2
- Hardcover ISBN
- 978-3-030-23435-5
- Series ISSN
- 1439-7358
- Edition Number
- 1
- Number of Pages
- XXI, 320
- Number of Illustrations
- 53 b/w illustrations, 107 illustrations in colour
- Topics
