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Erschienen in:
1995 | OriginalPaper | Buchkapitel
Automatic Meshing of Curved Three—Dimensional Domains: Curving Finite Elements and Curvature-Based Mesh Control
verfasst von : Mark S. Shephard, Saikat Dey, Marcel K. Georges
Erschienen in: Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
Verlag: Springer New York
Enthalten in: Professional Book Archive
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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.