Numerical Geometry, Grid Generation and Scientific Computing ... - 9783030767976

Numerical Geometry, Grid Generation and Scientific ComputingProceedings of the 10th International Conference, NUMGRID 2020 / Delaunay 130, Celebrating the 130th Anniversary of Boris Delaunay, Moscow, Russia, November 2020
Author(s): Vladimir A. Garanzha, Lennard Kamenski, Hang Si
Format: Hardback
Publisher: Springer Nature Switzerland AG, Switzerland
Imprint: Springer Nature Switzerland AG
ISBN-13: 9783030767976, 978-3030767976
Synopsis

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 years special focus is on Delaunay triangulations and their applications, celebrating the 130th birthday of Boris Delaunay.
In terms of content, the book strikes a balance between engineering algorithms and mathematical [url] 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.