Grid generation methods.

*(English)*Zbl 0949.65098
Scientific Computation. Berlin: Springer. xvi, 362 p. $ 89.00; DM 139.00; öS 1015.00; sFr 126.50; £48.00 (1999).

This book gives a clear, comprehensive and easy learning description of all the essential methods of grid generation technology for two major classes of grids: structured and unstructured grid.

The book includes a stretching method adjusted to the numerical solution of singularly perturbed equations having large scale solution variations. A number of recently introduced functionals related to conformality, orthogonality, energy and alignment are described. The book includes differential and variational techniques for generating uniform, conformal and harmonic coordinate transforms on hypersurfaces for development of a comprehensive approach to the construction of both fixed and adaptive grids in the interior and on the boundary of domains in a unified manner.

Since grid technology has wide spread application to nearly all field problems, this monograph may have great interest for a broad category of readers, mathematicians, practitioners in applied mathematics, engineers.

The book includes a stretching method adjusted to the numerical solution of singularly perturbed equations having large scale solution variations. A number of recently introduced functionals related to conformality, orthogonality, energy and alignment are described. The book includes differential and variational techniques for generating uniform, conformal and harmonic coordinate transforms on hypersurfaces for development of a comprehensive approach to the construction of both fixed and adaptive grids in the interior and on the boundary of domains in a unified manner.

Since grid technology has wide spread application to nearly all field problems, this monograph may have great interest for a broad category of readers, mathematicians, practitioners in applied mathematics, engineers.

Reviewer: Ariadna Lucia Pletea (Iaşi)

##### MSC:

65M50 | Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs |

65N50 | Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs |

65-02 | Research exposition (monographs, survey articles) pertaining to numerical analysis |

65D18 | Numerical aspects of computer graphics, image analysis, and computational geometry |