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AuthorX. Li, M. S. Shephard, M. W. Beall
TitleAccounting for Curved Domains in Mesh Adaptation
Year2001
JournalInternational Journal for Numerical Methods in Engineering
Volume- -
Pages- -
AbstractThis paper present a procedure to place vertice created during tetrahedral mesh refinement on the appropriate curved domain boundaries when they are boundary vertices. Although many of the vertices created during mesh refinement can be easily "snapped" to correct boundary locations, there are situations where this process creates invalid element shapes. This paper presents a procedure to perform mesh modifications to allow all boundary vertices to be placed on the approporial boundaries. Key to the success of the procedure is the concept of always ensuring that any mesh modification applied ensures that the vertex goes as far as the plane for witch the first element would become invalid, and the application of a generalized local remeshing procedures when appropriate mesh modification operations are not determined with a limited amount of evaluation.