39 citations · 114 across the 35 of their papers we have counts for
6 papers · 1 filter
A new H(div)-conforming p-interpolation operator in two dimensions
Alexei Bespalov, Norbert Heuer
In this paper we construct a new H(div)-conforming projection-based p-interpolation operator that assumes only -regularity (r > 0) on the refere…
Hilbert scales and Sobolev spaces defined by associated Legendre functions
Victor Dominguez, Norbert Heuer, Francisco-Javier Sayas
In this paper we study the Hilbert scales defined by the associated Legendre functions for arbitrary integer values of the parameter. This problem is equivalent to study the left-d…
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…
The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: a priori error analysis
Alexei Bespalov, Norbert Heuer
This paper presents an a priori error analysis of the hp-version of the boundary element method for the electric field integral equation on a piecewise plane (open or closed) Lipsc…
Optimal error estimation for H(curl)-conforming p-interpolation in two dimensions
Alexei Bespalov, Norbert Heuer
In this paper we prove an optimal error estimate for the H(curl)-conforming projection based p-interpolation operator introduced in [L. Demkowicz and I. Babuska, p interpolation er…
Mortar Boundary Elements
Martin Healey, Norbert Heuer
We establish a mortar boundary element scheme for hypersingular boundary integral equations representing elliptic boundary value problems in three dimensions. We prove almost quasi…