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Center for Nonlinear Studies |
Convex polyhedra offer a flexible domain meshing alternative to tetrahedra or hexahedra and can be generated automatically by Voronoi-based methods. For scientific computation, polyhedra meshes are infrequently used due in part to the lack of basis functions suited to their irregular shapes. In this talk, I will first review some methods for constructing generalized barycentric scalar-valued functions over polyhedra which can be used to interpolate scalar data over the domain. I will then discuss how these functions can be leveraged to create vector-valued basis functions akin to the edge elements used in electromagnetics. The vector functions can be used to create H(Curl)-conforming vector fields which interpolate degrees of freedom associated to edges of the polyhedral mesh.
Host: Mikhail Shashkov. shashkov@lanl.gov, 667-4400