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AUTOMATIC MESHING OF CURVED THREE-DIMENSIONAL DOMAINS: CURVING FINITE ELEMENTS AND CURVATURE-BASED MESH CONTROL
Abstract

MARK S. SHEPHARD, SAIKAT DEY and MARCEL K. GEORGES

Specific issues associated with the automatic generation of finite element meshes for curved geometric domains are considered. A review of the definition of when a triangulation is a valid mesh, a geometric triangulation, for curved geometric domains is given. Consideration is then given to the additional operations necessary to maintain the validity of a mesh when curved finite elements are employed. A procedure to control the mesh gradations based on the curvature of the geometric model faces is also given.

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