Hierarchical hp Finite Elements inHybrid
نویسنده
چکیده
In this paper we introduce a new set of hp nite element expansions for use in hybrid domains using hexahedrons, prisms, pyramids and tetrahedrons. The expansions are explained in terms of a uniied notation which incorporates the standard hexahedral hp nite element expansion. The new bases are motivated from a set of orthogonal polynomial expansions within each of the hybrid domains. The polynomial expansions are a generalised product of functions based upon a local coordinate system with independent limits. This construction leads to expansions with attractive computational properties and which exhibit a high level of orthogonality.
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