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

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书目名称A Computational Differential Geometry Approach to Grid Generation读者反馈学科排名

Engulf

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

远足

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.

CLAP

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

单色

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.

排斥

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. ⊂ ..:..

theta-waves

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.

DRAFT

W. David Joyner,Caroline Grant MellesThe notion of a curve in .. is readily extended to a notion of an n-dimensional surface in .., . ≥ 0.

痴呆

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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