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20092026
most citedAnalytic Regularity for Linear Elliptic Systems in Polygons and Polyhedra

74 citations · 218 across the 35 of their papers we have counts for

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Showing 2010Show all

6 papers · 1 filter

math.NA2010

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…

math.NA2010

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…

math.NA2010

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…

math.AP2010★ 1 cited

Feedback boundary stabilization of wave equations with interior delay

K. Ammari, S. Nicaise, C. Pignotti

In this paper we consider a boundary stabilization problem for the wave equation with interior delay. We prove an exponential stability result under some Lions geometric condition.…

math.AP2010★ 1 cited

Stabilization of a piezoelectric system

K. Ammari, S. Nicaise

We consider a stabilization problem for a piezoelectric system. We prove an exponential stability result under some Lions geometric condition. Our method is based on an identity wi…

math.AP2010★ 74 cited

Analytic Regularity for Linear Elliptic Systems in Polygons and Polyhedra

Martin Costabel, Monique Dauge, Serge Nicaise

We prove weighted anisotropic analytic estimates for solutions of second order elliptic boundary value problems in polyhedra. The weighted analytic classes which we use are the sam…