A variational form of the Winslow grid generator
Journal of Computational Physics
A generalized length strategy for direct optimization in planar grid generation
Mathematics and Computers in Simulation
Full-FAS multigrid grid generation algorithms
Applied Numerical Mathematics - Special issue on numerical grid generation-technologies for advanced simulations
Automatic Mesh Generation: Applications to Finite Element Methods
Automatic Mesh Generation: Applications to Finite Element Methods
Lancelot: A FORTRAN Package for Large-Scale Nonlinear Optimization (Release A)
Lancelot: A FORTRAN Package for Large-Scale Nonlinear Optimization (Release A)
Finite Element Mesh Generation
Finite Element Mesh Generation
Grid Generation Methods
Mathematics and Computers in Simulation
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We consider the problem of planar grid generation. This problem can be easily reformulated as an unconstrained optimization problem with the usual variational method. This is a very simple technique to produce grids on planar domains, but it cannot be used in automatic grid generation codes. As a matter of fact, its formulation depends on some parameters, whose right value can disagree considerably among different domains. A simple modification of the variational method is proposed. This modification is mainly based on a linearly constrained optimization problem and it gives a significant increase of the robustness of the method.