On the generation of bipartite grids with controlled regularity for 2-D and 3-D simply connected domains

Fernando A Morales; Mauricio A Osorio

doi:10.2298/aadm140812014m

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arXiv · 1312.6905

On the generation of bipartite grids with controlled regularity for 2-D and 3-D simply connected domains

Fernando A Morales·Mauricio A Osorio

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Abstract

We present a procedure to generate bipartite grids for simply connected domains in 2-D and 3-D of prescribed size and controlled regularity elements. The mesh elements $K$ of the triangulation satisfy $\zeta_{K} \leq C$ where $\zeta_{K}$ is the regularity and $C$ is a constant depending on the shape parameters of the initial mesh. Bipartite grids permit a well-posed mixed-mixed variational formulation of problems such as the porous media flow equation and other linear physical phenomena as well as Galerkin-type discontinuous relaxations.

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Fernando A Morales, Mauricio A Osorio. 2013-12-25. On the generation of bipartite grids with controlled regularity for 2-D and 3-D simply connected domains. https://doi.org/10.2298/aadm140812014m

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