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Paving: A new approach to automated quadrilateral mesh generation. (English) Zbl 0755.65111

The technique of paving has satisfied the objectives of automatically generating a high quality mesh for an arbitrary geometry. This paper presents a new mesh generation technique, which meshes arbitrary 2-D geometries with an all-quadrilateral mesh. Paving allows varying element size distributions on the boundary as well as the interior of a region. The generated mesh is well formed (i.e. nearly square elements, elements perpendicular to boundaries, etc.) and geometrically pleasing (i.e. mesh contours tend to follow geometric contours of the boundary).
The authors describe the theory behind this algorithmic/heuristic technique, evaluate the performance of the approach and present examples of automatically generated meshes. Future researches will include the use of a function defining the required element size over the entire geometry rather than at the boundaries, which should improve the technique. The use of an approach similar to paving for 3-D all-hexahedral mesh generation will also be investigated.
Reviewer: G.Dimitriu (Iaşi)

MSC:

65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
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References:

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