A new approach to automatic quadrilateral mesh generation

A methodology for automatic quadrilateral mesh generation is presented. It is based on a novel application of the Delaunay triangulation algorithm, by which quadrilateral meshes can be generated as easily as triangular meshes for complex domains. The relative-element size method (RESM) has been used for effective a priori and a posteriori control of the number and distribution of elements. An adaptive quadrilateral mesh refinement technique that allows specified solution accuracy to be achieved with one or at most two refinement cycles is also proposed. Its robustness and versatility are demonstrated by examples.<
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