Francisco J. Domínguez-Mota

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We present a new adaptive-harmonic structured grid generation method. It is based on a functional that shares a common set of minimizers with Ivanenko's harmonic functional [9]. An unconstrained optimization process related to a continuation parameter is used to guarantee the convexity of the grid cells. Several numerical examples of grids generated on(More)
In this paper we present the application of a generalized finite difference Crank-Nicolson scheme to the numerical solution of the unsteady heat equation in $2+1$ dimensions subject to mixed Dirichlet and Robin conditions, a problem which has not been extensively studied when the spatial domain has an irregular shape. The generalized scheme is based on a(More)
In this paper, we address the problem of generating good quality grids on very irregular regions, and propose a measure for both the quality of the generated grids and the difficulty of the problem, as well as an efficient algorithm based on the minimization of area functionals to solve it. Using the proposed measure, a preliminary classification of some(More)
The present work shows two approaches to the generation of orthogonal or quasi-orthogonal grids applying similar techniques to those implemented by Barrera-Sánchez and Tinoco-Ruiz [Ph.D. Thesis, CIMAT, 1997] on the construction of smooth and convex grids, considering linear combinations of functionals defined over the grid as little perturbations to(More)
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