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

  • Vladimir A. Garanzha
  • Lennard Kamenski
  • Hang Si
Conference proceedings

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 131)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Voronoi Meshing: Theory, Algorithms, and Applications

    1. Front Matter
      Pages 1-1
    2. Na Lei, Wei Chen, Zhongxuan Luo, Hang Si, Xianfeng Gu
      Pages 3-24
    3. Vladimir Garanzha, Liudmila Kudryavtseva, Valeriia Tsvetkova
      Pages 25-44
    4. Klaus Gärtner, Lennard Kamenski
      Pages 45-60
    5. Jürgen Fuhrmann, Clemens Guhlke, Alexander Linke, Christian Merdon, Rüdiger Müller
      Pages 73-83
  3. Mesh Optimization

    1. Front Matter
      Pages 85-85
    2. Daniel Zint, Roberto Grosso, Vadym Aizinger, Harald Köstler
      Pages 87-99
    3. Ali Khademi, Sergey Korotov, Jon Eivind Vatne
      Pages 101-108
  4. Mesh-Based Methods of Optimization and Optimal Control

    1. Front Matter
      Pages 125-125
    2. Alexander I. Golikov, Igor E. Kaporin
      Pages 139-155
  5. Numerical Geometry and Simulation

  6. Mesh Generation Software

    1. Front Matter
      Pages 241-241
    2. Kirill Terekhov, Yuri Vassilevski
      Pages 243-255
    3. Alla I. Anuchina, Natalya A. Artyomova, Vyacheslav A. Gordeychuck, Olga V. Ushakova
      Pages 281-292
    4. Alexandr S. Karavaev, Sergey P. Kopysov, Alexandr K. Novikov
      Pages 293-308
  7. Back Matter
    Pages 309-320

About these proceedings


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.


numerical geometry mesh generation mesh adaptation finite volume method variational principle iterative solvers quasi‐isometric mapping Delaunay triangulation Voronoi diagram

Editors and affiliations

  • Vladimir A. Garanzha
    • 1
  • Lennard Kamenski
    • 2
  • Hang Si
    • 3
  1. 1.Federal Research Center of Informatics and Control, Russian Academy of SciencesDorodnitsyn Computing CentreMoscowRussia
  2. 2.m4sim GmbHBerlinGermany
  3. 3.Weierstrass Institute for Applied Analysis and Stochastics (WIAS)BerlinGermany

Bibliographic information

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