## Advances in Grid GenerationGrid generation deals with the use of grids (meshes) in the numerical solution of partial differential equations by finite elements, finite volume, finite differences and boundary elements. Grid generation is applied in the aerospace, mechanical engineering and scientific computing fields. This book presents new research in the field. |

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### Contents

Preface | 1 |

Ushakova | 22 |

On One Class of Quasiisometric Grids | 53 |

Copyright | |

11 other sections not shown

### Common terms and phrases

adaptive angle block boundary nodes calculated chapter coefficients condition of orthogonality considered constructing convex coordinate lines coordinate surfaces corresponding cube curvilinear coordinates curvilinear grids defined degenerate diagonal direction discrete dodecahedrons domain G edges energy density equal equations Euler-Lagrange equations Eulerian example faces flow formulas functional gas dynamics generatrix generatrix curve geometrical given grid cells grid lines grid nodes hexahedral cells hexahedron homeomorphism initial grid interface interpolation intersection point invertibility iteration Ivanenko S.A. Jacobian Lagrangian layer linear markers Math Mathematics matrix mesh method metric mixed cells nonconvex nondegeneracy nondegenerate numerical solution obtained octahedron optimal grid orthogonal parameters Phys plane polygon positive problem procedure processors quadrangle quadratic quadrilateral quasi-isometric remapping ruled cell Russian Academy satisfied segments Sergey shown in Fig side 13 solving structured grids subdomain sufficient conditions surface tetrahedrons theorem three-dimensional grid triangle triangular facets trilinear mapping triple scalar products two-dimensional variational vector vertex vertices volume