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 describes in detail the eminent role played by differential geometry in grid technology based on mapping. The implementation of the Beltrami operator helps to develop robust multidimensional grid generation codes. The book reviews concepts from Riemannian geometry, applies them to general grids with prescribed properties, and discusses the role of mean and of Gaussian curvature and other geometric characteristics for the Beltrami equations for grid generation. The book also includes numerical codes based on the Beltrami equations. It addresses scientists and practitioners as well as graduate students from applied mathematics, physics, and engineering.
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