Lecture Notes in Computational Science and Engineering

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

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)

Table of contents (22 chapters)
  • Secondary Power Diagram, Dual of Secondary Polytope

    Pages 3-24

    Lei, Na (et al.)

  • Structured Orthogonal Near-Boundary Voronoi Mesh Layers for Planar Domains

    Pages 25-44

    Garanzha, Vladimir (et al.)

  • Why Do We Need Voronoi Cells and Delaunay Meshes?

    Pages 45-60

    Gärtner, Klaus (et al.)

  • A Simple Algorithm to Triangulate a Special Class of 3d Non-convex Polyhedra Without Steiner Points

    Pages 61-71

    Si, Hang

  • Voronoi Finite Volumes and Pressure Robust Finite Elements for Electrolyte Models with Finite Ion Sizes

    Pages 73-83

    Fuhrmann, Jürgen (et al.)

Buy this book

eBook n/a
  • ISBN 978-3-030-23436-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-3-030-23435-5
  • Free shipping for individuals worldwide
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Bibliographic Information

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
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