Numerical grid generation: foundations and applications
Numerical grid generation: foundations and applications
On the ivertability of the isoparametric map
Computer Methods in Applied Mechanics and Engineering
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Illicit expressions in vector algebra
ACM Transactions on Graphics (TOG)
Geometric modeling with splines: an introduction
Geometric modeling with splines: an introduction
Bezier and B-Spline Techniques
Bezier and B-Spline Techniques
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Conditions of Nondegeneracy of Three-Dimensional Cells. A Formula of a Volume of Cells
SIAM Journal on Scientific Computing
Conditions for the invertibility of the isoparametric mapping for hexahedral finite elements
Finite Elements in Analysis and Design
Geometry and Topology for Mesh Generation (Cambridge Monographs on Applied and Computational Mathematics)
Mesh Generation: Application to Finite Elements
Mesh Generation: Application to Finite Elements
A Computational Differential Geometry Approach to Grid Generation (Scientific Computation)
A Computational Differential Geometry Approach to Grid Generation (Scientific Computation)
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The convergence and the accuracy of numerical solutions to partial differential equations strongly depend on the quality of the grids on which these solutions are computed. First and second order quality metrics for hexahedral grids cells are formulated and applied to evaluate the quality of three-dimensional geologic grid structures. Examples measuring the Jacobian and the orthogonality of geologic grids are given.