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Titlebook: Numerical Geometry, Grid Generation and Scientific Computing; Proceedings of the 9 Vladimir A. Garanzha,Lennard Kamenski,Hang Si Conference

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书目名称Numerical Geometry, Grid Generation and Scientific Computing
副标题Proceedings of the 9
编辑Vladimir A. Garanzha,Lennard Kamenski,Hang Si
视频video
丛书名称Lecture Notes in Computational Science and Engineering
图书封面Titlebook: Numerical Geometry, Grid Generation and Scientific Computing; Proceedings of the 9 Vladimir A. Garanzha,Lennard Kamenski,Hang Si Conference
描述.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 150.th. 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 application
出版日期Conference proceedings 2019
关键词numerical geometry; mesh generation; mesh adaptation; finite volume method; variational principle; iterat
版次1
doihttps://doi.org/10.1007/978-3-030-23436-2
isbn_softcover978-3-030-23438-6
isbn_ebook978-3-030-23436-2Series ISSN 1439-7358 Series E-ISSN 2197-7100
issn_series 1439-7358
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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Why Do We Need Voronoi Cells and Delaunay Meshes?thods (FVM) and boundary conforming Delaunay meshes provide good approximation of the geometry of a problem and are able to preserve the essential qualitative properties of the solution for any given resolution in space and time as well as changes in time scales of multiple orders of magnitude. This
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Sixth-Order Adaptive Non-uniform Grids for Singularly Perturbed Boundary Value Problemsary layers. For this SPBVP with a small parameter in the leading derivative, an adaptive finite difference method based on the equidistribution principle, is adopted to establish 6th order of convergence. To achieve this supra-convergence, we study the truncation error of the discretized system and
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Approximation of Multi-Dimensional Edgeworth-Pareto Hull in Non-linear Multi-Objective Problemsn problems. The notion of the Edgeworth-Pareto Hull is introduced. It is demonstrated how the effective hull of a non-convex multi-dimensional set given by a mapping can be approximated by the product (intersection) of a finite number of Edgeworth-Pareto Hulls. Then, a new numerical technique for ap
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Inexact Newton Method for Minimization of Convex Piecewise Quadratic Functionsr, a similar method was successfully applied to optimization problems arising in numerical grid generation. The method can be applied for computing a minimum norm nonnegative solution of underdetermined system of linear equations or for finding the distance between two convex polyhedra. The performa
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Optimal Non-adaptive Approximation of Convex Bodies by Polytopes by polytopes with any given accuracy. It is well known that optimal with respect to the order algorithms produce polytopes for which the accuracy in Hausdorff metric is inversely proportional to the number of vertices (faces) in the degree of 2∕(. − 1). Numerical approximation algorithms can be ada
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