Publications Details
Spectral Equivalence Properties of Higher-Order Tensor Product Finite Elements
The focus of this study is on spectral equivalence results for higher-order tensor product finite elements in the H(curl), H(div), and L2 function spaces. For certain choices of the higher-order shape functions, the resulting mass and stiffness matrices are spectrally equivalent to those for an assembly of lowest-order edge-, face- or interior-based elements on the associated Gauss–Lobatto–Legendre (GLL) mesh.