74 citations · 218 across the 35 of their papers we have counts for
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Adapted numerical methods for the numerical solution of the Poisson equation with boundary data in non-convex domains
Thomas Apel, Serge Nicaise, Johannes Pfefferer
The very weak solution of the Poisson equation with boundary data is defined by the method of transposition. The finite element solution with regularized boundary data conver…
A dual singular complement method for the numerical solution of the Poisson equation with boundary data in non-convex domains
Thomas Apel, Serge Nicaise, Johannes Pfefferer
The very weak solution of the Poisson equation with boundary data is defined by the method of transposition. The finite element solution with regularized boundary data conver…
Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains
Thomas Apel, Serge Nicaise, Johannes Pfefferer
Several approaches are discussed how to understand the solution of the Dirichlet problem for the Poisson equation when the Dirichlet data are non-smooth such as if they are in $L^2…
The BEM with graded meshes for the electric field integral equation on polyhedral surfaces
Alex Bespalov, Serge Nicaise
We consider the variational formulation of the electric field integral equation on a Lipschitz polyhedral surface . We study the Galerkin boundary element discretisations based…
Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system
Emmanuel Creusé, Serge Nicaise, Emmanuel Verhille
We consider a conforming finite element approximation of the Reissner-Mindlin system. We propose a new robust a posteriori error estimator based on H(div) conforming finite element…
A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods
Emmanuel Creusé, Serge Nicaise
We consider some (anisotropic and piecewise constant) convection-diffusion-reaction problems in domains of R2, approximated by a discontinuous Galerkin method with polynomials of a…
A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
Serge Nicaise, Juliette Venel
We perform the a posteriori error analysis of residual type of a transmission problem with sign changing coefficients. According to [6] if the contrast is large enough, the continu…