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Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Doi
Abstract
Given a tetrahedral mesh and objective functionals measuring the mesh
quality which take into account the shape, size, and orientation of the mesh
elements, our aim is to improve the mesh quality as much as possible. In this
paper, we combine the moving mesh smoothing, based on the integration of an
ordinary differential equation coming from a given functional, with the lazy
flip technique, a reversible edge removal algorithm to modify the mesh
connectivity. Moreover, we utilize radial basis function (RBF) surface
reconstruction to improve tetrahedral meshes with curved boundary surfaces.
Numerical tests show that the combination of these techniques into a mesh
improvement framework achieves results which are comparable and even better
than the previously reported ones
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