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Numerical Geometry, Grid Generation and Scientific Computing
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ISBN: 9783030234362 Year: 2019 Publisher: Cham Springer International Publishing :Imprint: Springer

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Numerical Geometry, Grid Generation and Scientific Computing
Authors: --- --- ---
ISBN: 9783030767983 9783030767990 9783030768003 9783030767976 Year: 2021 Publisher: Cham Springer International Publishing :Imprint: Springer

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Abstract

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 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 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.

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