49 citations · 119 across the 18 of their papers we have counts for
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math.NA2009★ 42 cited
Discrete compactness for the p-version of discrete differential forms
Daniele Boffi, Martin Costabel, Monique Dauge +2
In this paper we prove the discrete compactness property for a wide class of p-version finite element approximations of non-elliptic variational eigenvalue problems in two and thre…
math.NA2009★ 2 cited
Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces
Alexei Bespalov, Norbert Heuer, Ralf Hiptmair
We consider the variational formulation of the electric field integral equation (EFIE) on bounded polyhedral open or closed surfaces. We employ a conforming Galerkin discretization…
math.NA2009★ 3 cited
Discrete Compactness for p-Version of Tetrahedral Edge Elements
Ralf Hiptmair
We consider the first family of $\Hcurl$-conforming Nedéléc finite elements on tetrahedral meshes. Spectral approximation (-version) is achieved by keeping the mesh fixed and ra…