Title A Computational Differential Geometry Approach to Grid Generation Author(s) Liseikin, Vladimir D Publication Berlin, Heidelberg, Springer Berlin Heidelberg, 2004. Description XIV, 264 p : online resource Abstract Note 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 smoothness which produces fixed nonfolding grids while grid clustering is controlled by source terms in differential grid formulations or by an adaptation functional in vari?? ational models. However, such a formulation does not obey the fundamental invariance laws with respect to parameterizations of physical geometries. It frequently results in cumbersome governing grid equations whose choice of weight and control functions provide conflicting grid requirements ISBN,Price 9783662054154 Keyword(s) 1. Classical and Continuum Physics 2. Computational Mathematics and Numerical Analysis 3. Computer mathematics 4. Continuum physics 5. DIFFERENTIAL GEOMETRY 6. EBOOK 7. EBOOK - SPRINGER 8. Mathematical Methods in Physics 9. Numerical and Computational Physics, Simulation 10. PHYSICS Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I11320     On Shelf