Anisotropic mesh adaption by metric‐driven optimization
Copyright policy )Anisotropic mesh adaption by metric‐driven optimization
AbstractWe describe a Gauss–Seidel algorithm for optimizing a three‐dimensional unstructured grid so as to conform to a given metric. The objective function for the optimization process is based on the maximum value of an elemental residual measuring the distance of any simplex in the grid to the local target metric. We analyse different possible choices for the objective function, and we highlight their relative merits and deficiencies. Alternative strategies for conducting the optimization are compared and contrasted in terms of resulting grid quality and computational costs. Numerical simulations are used for demonstrating the features of the proposed methodology, and for studying some of its characteristics. Copyright © 2004 John Wiley & Sons, Ltd.
- Polytechnic University of Milan Italy
- Georgia Institute of Technology United States
numerical examples, mesh optimization, Gauss-Seidel algorithm, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, mesh adaptivity, Riemannian metric, Numerical aspects of computer graphics, image analysis, and computational geometry, Packaged methods for numerical algorithms, Anisotropic grids, unstructured grids
numerical examples, mesh optimization, Gauss-Seidel algorithm, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, mesh adaptivity, Riemannian metric, Numerical aspects of computer graphics, image analysis, and computational geometry, Packaged methods for numerical algorithms, Anisotropic grids, unstructured grids
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