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Anisotropic Mesh Gradation Control

Li, Xiangrong, Jean-Francois Remacle, Nicolas Chevaugeon and Mark S. Shephard

Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.401-412, September 19-22 2004


13th International Meshing Roundtable
Willimasburg, Virginia, USA
September 19-22, 2004

Xiangrong Li and Mark S. Shephard
Scientific Computation Research Center, CII-7011, 110 8th Street,
Rensselaer Polytechnic Institute,
Troy, NY 12180-3590, U.S.A.

Jean-Francois Remacle and Nicolas Chevaugeon
Department of Civil Engineering, Place du Levant 1, 1348 Louvain-la-Neuve, Belgium

Corresponding author: Xiangrong Li,

The paper presents an a priori procedure to control the element size and shape variation for meshing algorithms governed by anisotropic sizing specifications. The field of desired element size and shape is represented by a background structure. The procedure consists in replacing the initial field with a smoothed one that preserves anisotropic features and smaller element sizes. The smoothness of the resulting field can be controlled by a prescribed threshold value gamma0. Examples are included to show the application in three dimensional anisotropic adaptive simulation, as well as the effect of gamma0.

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