Description: Numerical Geometry, Grid Generation and Scientific Computing by Vladimir A. Garanzha, Lennard Kamenski, Hang Si 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 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Back Cover 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 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 Part I Delaunay-Voronoi Theory and Applications.- Local Groups in Delone Sets.- Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups Γ k/n.- A Proof of the Invariant-Based Formula for the Linking Number and its Asymptotic Behaviour.- The Singularity Set of Optimal Transportation Maps.- Polygonal and Polyhedral Delaunay Meshing.- On Decomposition of Embedded Prismatoids in R3 without Additional Points.- Out-of-core Constrained Delaunay Tetrahedralizations for Large Scenes.- Part II Adaptive Meshing.- Size Gradation Control for Anisotropic Hybrid Meshes.- Adjoint Computation on Anisotropic Meshes in High-fidelity RANS Simulations.- Moving Deforming Mesh Generation Based on the Quasi-isometric Functional.- Adaptive Grids for Non-monotone Waves and Instabilities in a Non-equilibrium PDE Model.- RBF-VerBSS Hybrid Method for Mesh Deformation.- A Uniform Convergence Analysis for a Bakhvalov-type Mesh with an Explicitly Defined Transition Point.- On a Comprehensive Grid for Solving Problems Having Exponential or Power–of–First–Type Layers.- Preserved Structure Constants for Red Refinements of Product Elements.- Part III Meshing and CAD.- Global Parametrization Based on Ginzburg-Landau Functional.- Parametrization of Plane Irregular Regions: A Semi-automatic Approach I.- A Hybrid Approach to Fast Indirect Quadrilateral Mesh Generation.- Hexahedral Mesh Generation Using Voxel Field Recovery.- Generation of Boundary Layer Meshes by the Enhanced Jump-and-Walk Method with a Fast Collision Detecting Algorithm.- Part IV Numerical Geometry and Applications.- An Improved Algorithm for Scattered Data Interpolation using Quartic Triangular Bézier Surfaces.- On Integral-based (Transfinite) Laplace Coordinates.- Part V Numerical Methods.- Fully-implicit Collocated Finite-Volume Method for the Unsteady Incompressible Navier–Stokes Problem.- Efficient Steady Flow Computations with Exponential Multigrid Methods.- Exponential TimeIntegrators for Unsteady Advection–diffusion Problems on Refined Meshes. Details ISBN3030767973 Short Title Numerical Geometry, Grid Generation and Scientific Computing Series Lecture Notes in Computational Science and Engineering Language English Year 2021 ISBN-10 3030767973 ISBN-13 9783030767976 Format Hardcover Subtitle Proceedings of the 10th International Conference, NUMGRID 2020 / Delaunay 130, Celebrating the 130th Anniversary of Boris Delaunay, Moscow, Russia, November 2020 DOI 10.1007/978-3-030-76798-3 Series Number 143 Publisher Springer Nature Switzerland AG Edition 1st Imprint Springer Nature Switzerland AG Place of Publication Cham Country of Publication Switzerland Pages 417 Publication Date 2021-09-27 UK Release Date 2021-09-27 Author Hang Si Edited by Hang Si Birth 1987 Affiliation Univ Of Hull, Uk Position Doctor Qualifications RN, CommNursCert, BHSc(Nurs) MNurs, PhD Edition Description 1st ed. 2021 Alternative 9783030768003 DEWEY 518 Audience Professional & Vocational Illustrations 125 Illustrations, color; 58 Illustrations, black and white; XX, 417 p. 183 illus., 125 illus. in color. 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ISBN-13: 9783030767976
Book Title: Numerical Geometry, Grid Generation and Scientific Computing
Item Height: 235 mm
Item Width: 155 mm
Author: Hang Si, Lennard Kamenski, Vladimir A. Garanzha
Publication Name: Numerical Geometry, Grid Generation and Scientific Computing: Proceedings of the 10th International Conference, NUMGRID 2020 / Delaunay 130, Celebrating the 130th Anniversary of Boris Delaunay, Moscow, Russia, November 2020
Format: Hardcover
Language: English
Publisher: Springer Nature Switzerland Ag
Subject: Computer Science, Mathematics
Publication Year: 2021
Type: Textbook
Item Weight: 822 g
Number of Pages: 417 Pages
