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Fast Adaptive Quadtree Mesh Generation

Frey, Pascal J. and Loic Marechal

Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.211-224, October 1998


7th International Meshing Roundtable
October 26-28, 1998
Dearborn, Michigan, USA

INRIA, Gamma Project,
Domaine de Voluceau, Rocquencourt,
BP 105, 78153 Le Cliesnay Cedex, France.

A size-governed quadtree mesh generation method is presented in this paper to deal with planar domains of arbitrary shape. The tree decomposition provides a convenient control space, which can be used to determine the element sizes, as well as a neighboring space, which allows for the quick searching of mesh items. The sizes of the tree cells are adjusted to match the size specifications (defined as a continuous element-size distribution function in R2). Hence, the proposed method can be used in the context of mesh adaption in numerical simulations based on the finite element method. Several application examples are provided to emphasize the main features of this approach.

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