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Titlebook: A Computational Differential Geometry Approach to Grid Generation; Vladimir D. Liseikin Book 20041st edition Springer-Verlag Berlin Heidel

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樓主
發(fā)表于 2025-3-21 17:23:40 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱(chēng)A Computational Differential Geometry Approach to Grid Generation
影響因子2023Vladimir D. Liseikin
視頻videohttp://file.papertrans.cn/141/140333/140333.mp4
發(fā)行地址Geometric methods in grid generation is a fairly recent subject with many applications in scientific computing.So far the literature on the subject is sparse.Includes supplementary material:
學(xué)科分類(lèi)Scientific Computation
圖書(shū)封面Titlebook: A Computational Differential Geometry Approach to Grid Generation;  Vladimir D. Liseikin Book 20041st edition Springer-Verlag Berlin Heidel
影響因子Grid technology whose achievements have significant impact on the efficiency of numerical codes still remains a rapidly advancing field of computational and applied mathematics. New achievements are being added by the creation of more sophisticated techniques, modification of the available methods, and implementation of more subtle tools as well as the results of the theories of differential equations, calculas of variations, and Riemannian geometry being applied to the formulation of grid models and analysis of grid properties. The development of comprehensive differential and variational grid gen- eration techniques reviewed in the monographs of J. F. Thompson, Z. U. A. Warsi, C. W. Mastin, P. Knupp, S. Steinberg, V. D. Liseikin has been largely based on a popular concept in accordance with which a grid model realizing the required grid properties should be formulated through a linear combina- tion of basic and control grid operators with weights. A typical basic grid operator is the operator responsible for the well-posedness of the grid model and construction of unfolding grids, e. g. the Laplace equations (generalized Laplace equations for surfaces) or the functional of grid s
Pindex Book 20041st edition
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沙發(fā)
發(fā)表于 2025-3-21 23:09:33 | 只看該作者
1434-8322 subject is sparse.Includes supplementary material: Grid technology whose achievements have significant impact on the efficiency of numerical codes still remains a rapidly advancing field of computational and applied mathematics. New achievements are being added by the creation of more sophisticated
板凳
發(fā)表于 2025-3-22 00:37:05 | 只看該作者
grids on curvilinear edges, faces, and parallelepipeds, using the solution at a step . < . as the Dirichlet boundary condition for the following step . + 1 ≤ .. Thus both the interior and the boundary grid points of a domain or surface can be calculated by the similar elliptic solver.
地板
發(fā)表于 2025-3-22 05:28:30 | 只看該作者
ns in a unified manner, regardless of their dimension. In particular, the transformed elliptic equations obtained from the generalized Laplace equations by changing mutually dependent and independent variables can be applied to produce grids in spatial blocks by means of the successive generation of
5#
發(fā)表于 2025-3-22 11:43:16 | 只看該作者
Tom G. Mackay,Akhlesh LakhtakiaThis chapter gives an introduction to the subject of numerical grid technology. It deliniates the notion of grid cells, requirements imposed on grid properties, and the most popular methods of the mapping approach.
6#
發(fā)表于 2025-3-22 16:30:38 | 只看該作者
Tom G. Mackay,Akhlesh LakhtakiaWe consider here some notions and relations connected with smooth invert-ible coordinate transformations of the physical region .. ? .. from the parametric domain Ξ. ? ..:..
7#
發(fā)表于 2025-3-22 18:47:08 | 只看該作者
W. David Joyner,Caroline Grant MellesCommonly, a curve in the .-dimensional Euclidean space .. is the locus of points of .. whose positions are represented by a vector-valued position function r of a single parameter, say φ,. (see Fig. 3.1). The position function r(φ) is referred to as a parametrization of the curve.
8#
發(fā)表于 2025-3-23 01:14:04 | 只看該作者
W. David Joyner,Caroline Grant MellesThe notion of a curve in .. is readily extended to a notion of an n-dimensional surface in .., . ≥ 0.
9#
發(fā)表于 2025-3-23 04:24:59 | 只看該作者
https://doi.org/10.1007/978-1-4020-3040-6This chapter formulates differential and variational models for generating grids on surfaces and in domains of arbitrary dimensions. The formulations are based on both the operator of Beltrami and the energy (smoothness) functional with respect to monitor metrics.
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發(fā)表于 2025-3-23 09:34:23 | 只看該作者
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