A linearly constrained optimization problem for planar grid generation

Authors:
N. Egidi;P. Maponi
Affiliations:
Università di Camerino, Dipartimento di Matematica e Informatica, Camerino (MC), 62032, Italy;Università di Camerino, Dipartimento di Matematica e Informatica, Camerino (MC), 62032, Italy
Venue:
Applied Numerical Mathematics - Applied scientific computing: Recent approaches to grid generation, approximation and numerical modelling
Year:
2005

Citing 5
Cited 0

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Abstract

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.