Automatic Curvilinear Quality Mesh Generation with Smooth Mesh Boundaries of Medical Images

نویسندگان

  • Jing Xu
  • Andrey N. Chernikov
چکیده

The development of robust high-order finite element methods requires the curvilinear discretization for complex geometries without user intervention. In this work we present a new technique that allows for the automatic construction of high-order curvilinear meshes with two main features: first, the boundary of the mesh is globally smooth, i.e., it satisfies either the C 1 or the C 2 smoothness requirement; second, all elements are valid as measured by their Jacobians. Example meshes demonstrate the features of the algorithm.

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تاریخ انتشار 2015