Calcul des singularités par la méthode des éléments finis
Calcul fonctionnel précisé pour des opérateurs elliptiques complexes en dimension un (et applications à certaines équations elliptiques complexes en dimension deux)
Dans cet article, on considère les opérateurs différentiels , où et sont deux fonctions mesurables, bornées et accrétives, et . Les résultats principaux portent sur les propriétés fonctionnelles de , de sa racine carrée, avec applications à l’équation elliptique sur . On démontre que est un opérateur de Calderón-Zygmund qui dépend analytiquement du couple . Les estimations ponctuelles optimales sur le noyau du semi-groupe et le calcul fonctionnel permettent de développer une théorie...
Caractérisation de classes de fonctions par des itères d’opérateurs elliptiques dégénérés sur des ouverts irréguliers
Cell centered Galerkin methods for diffusive problems
In this work we introduce a new class of lowest order methods for diffusive problems on general meshes with only one unknown per element. The underlying idea is to construct an incomplete piecewise affine polynomial space with optimal approximation properties starting from values at cell centers. To do so we borrow ideas from multi-point finite volume methods, although we use them in a rather different context. The incomplete polynomial space replaces classical complete polynomial spaces in discrete...
Cell centered Galerkin methods for diffusive problems
In this work we introduce a new class of lowest order methods for diffusive problems on general meshes with only one unknown per element. The underlying idea is to construct an incomplete piecewise affine polynomial space with optimal approximation properties starting from values at cell centers. To do so we borrow ideas from multi-point finite volume methods, although we use them in a rather different context. The incomplete polynomial space replaces classical complete polynomial spaces...
Cloaking via anomalous localized resonance for doubly complementary media in the quasistatic regime
This paper is devoted to the study of cloaking via anomalous localized resonance (CALR) in the two- and three-dimensional quasistatic regimes. CALR associated with negative index materials was discovered by Milton and Nicorovici [21] for constant plasmonic structures in the two-dimensional quasistatic regime. Two key features of this phenomenon are the localized resonance, i.e., the fields blow up in some regions and remain bounded in some others, and the connection between the localized resonance...
Coerciveness inequality for nonlocal boundary value problems for second order abstract elliptic differential equations.
Compactness results for Ginzburg-Landau type functionals with general potentials.
Comparing multilevel coarsening strategies.
Comparison of a genetic algorithm and a gradient based optimisation technique for the detection of subsurface inclusions.
Comparison of Linear System Solvers Applied to Diffusion-Type Finite Element Equations.
Comparison results for elliptic and parabolic equations via Schwarz symmetrization
Comparison results for solutions of elliptic problems via symmetrization
Compatible discretization of second-order elliptic problems.
Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain.
Completeness of the system of root functions of boundary value problems for elliptic equations with boundary conditions of Bitsadze-Samarskij type.
Complex geometrical optics solutions for Lipschitz conductivities.
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a -valued function defined on the boundary of a bounded regular domain of . When such extensions do not exist, we use the Ginzburg-Landau relaxation procedure. We prove that, up to a subsequence, a sequence of Ginzburg-Landau minimizers, as the coupling parameter tends to infinity, converges to a unimodular harmonic map away from a codimension-2 minimal current minimizing the area within the homology...
Comportement asymptotique d'un problème de perturbation singulière non classique.
Composite Mesh Difference Methods for Elliptic Boundary Value Problems.