Liseikin V.Computational Differential Geometry Approach.2ed 2007

Textbook in PDF format

The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This monograph gives a detailed treatment of applications of geometric methods to advanced grid technology. It focuses on and describes a comprehensive approach based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces. In this second edition the author takes a more detailed and practice-oriented approach towards explaining how to implement the method.
Geometric Background to Grid Technology
Introductory Notions
General Coordinate Systems in Domains
Geometry of Curves
Multidimensional Geometry
Algorithms and Applications of Advanced Grid Technology
Comprehensive Grid Models
Inverted Equations
Numerical Implementation of Grid Generators