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An Aspect Ratio Controlled New Mesh Enhancement Method Based On Statistical Mathematics

Sorguç, Arzu
Egorova, Olga
Hagiwara, Ichiro
In this study, a non-conventional statistical mathematics based on method to mesh enhancement is introduced. The method explained here, is flexible in application i.e. it can be applied to planar and spatial meshes, as well as by choosing any quality parameter to evaluate the mesh architecture and enhance accordingly. In this statistical mathematics based approach, mesh generation is considered as a statistical problem rather than its geometric features and Monte Carlo technique is adopted for this random process. Geometry of mesh architecture involved only in so called 'template' to insert the new points. In the present paper, method is explained in a planar triangular mesh architecture and aspect ratio is chosen as the parameter to evaluate the mesh quality.