Postprocessing schemes for some mixed finite elements
Potential Scattering in a Homogeneous Electrostatic Field.
Première valeur propre du laplacien et volume des sphères riemanniennes
Problème de Dirichlet dans l'image Bilipschitzienne d'un demi-espace.
Problèmes aux limites dans des domaines avec points de rebroussement
Pseudo-Differential Operators in a Wave Diffraction Problem with Impedance Conditions
Mathematics Subject Classification: 35J05, 35J25, 35C15, 47H50, 47G30We consider an impedance boundary-value problem for the Helmholtz equation which models a wave diffraction problem with imperfect conductivity on a strip. Pseudo-differential operators are used to deal with this wave diffraction problem. Therefore, single and double layer potentials allow a reformulation of the problem into a system of integral equations. By using operator theoretical methods, the well-posedness of the problem...
Quasi-interpolation and a posteriori error analysis in finite element methods
Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods
One of the main tools in the proof of residual-based a posteriori error estimates is a quasi-interpolation operator due to Clément. We modify this operator in the setting of a partition of unity with the effect that the approximation error has a local average zero. This results in a new residual-based a posteriori error estimate with a volume contribution which is smaller than in the standard estimate. For an elliptic model problem, we discuss applications to conforming, nonconforming and mixed...
Quelques résultats de régularité pour un système elliptique avec conditions aux limites couplées
Radial solutions of equations and inequalities involving the -Laplacian.
Recent progress in the anisotropic electrical impedance problem.
Reconstruction of the right-hand side of the elliptical equation from observation data obtained at the boundary
Reflection and the Dirichlet problem on doubly connected regions
Reflection and the Neumann problem on doubly connected regions
Reflection principles for Laplace's equation when the boundary data involves derivatives of higher order
Reflection principles for the iterated Helmholtz equation.
Régularité de la solution d'un problème mêlé dans un domaine polygonal ou polyédral
Régularité optimale des solutions de systèmes différentiels et du Laplacien associé; application au ....b.
Regularity of a free boundary with application to the Pompeiu problem.
Remarque sur la conjecture de Weyl.