Analyse sur les boules d' un opérateur sous-elliptique.
Analysis and comparison of several components mode synthesis methods on one-dimensional domains.
Analysis of a Population Model Structured by the Cells Molecular Content
We study the mathematical properties of a general model of cell division structured with several internal variables. We begin with a simpler and specific model with two variables, we solve the eigenvalue problem with strong or weak assumptions, and deduce from it the long-time convergence. The main difficulty comes from natural degeneracy of birth terms that we overcome with a regularization technique. We then extend the results to the case with several parameters and recall the link between this...
Analytic properties of the resolvent for the Helmholtz operator outside a periodic surface
Analytical solution of a general boundary value problem for a BKW-equation.
Analytical solutions for the neutron transport using the spectral methods.
Antimaximum principle for elliptic problems with weight.
Appendice à l'exposé : «Weak bloch property and weight estimates for elliptic operators»
Applications de la méthode de Lavine au problème à trois corps
Applicazioni della teoria dello scattering all’operatore di Laplace-Beltrami sulle forme differenziali
Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods
In this paper we analyze the stream function-vorticity-pressure method for the Stokes eigenvalue problem. Further, we obtain full order convergence rate of the eigenvalue approximations for the Stokes eigenvalue problem based on asymptotic error expansions for two nonconforming finite elements, and . Using the technique of eigenvalue error expansion, the technique of integral identities and the extrapolation method, we can improve the accuracy of the eigenvalue approximations.
Approximation des valeurs propres de certaines perturbations singulières et application à l'opérateur de Dirac
Approximation of a Nondifferentiable Nonlinear Problem Related to MHD Equilibria.
Approximation of a semilinear elliptic problem in an unbounded domain
Let be an odd function of a class such that and increases on . We approximate the positive solution of on with homogeneous Dirichlet boundary conditions by the solution of on with adequate non-homogeneous Dirichlet conditions. We show that the error tends to zero exponentially fast, in the uniform norm.
Approximation of a semilinear elliptic problem in an unbounded domain
Let f be an odd function of a class C2 such that ƒ(1) = 0,ƒ'(0) < 0,ƒ'(1) > 0 and increases on [0,1]. We approximate the positive solution of Δu + ƒ(u) = 0, on with homogeneous Dirichlet boundary conditions by the solution of on ]0,L[2 with adequate non-homogeneous Dirichlet conditions. We show that the error uL - u tends to zero exponentially fast, in the uniform norm.
Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method
By means of eigenvalue error expansion and integral expansion techniques, we propose and analyze the stream function-vorticity-pressure method for the eigenvalue problem associated with the Stokes equations on the unit square. We obtain an optimal order of convergence for eigenvalues and eigenfuctions. Furthermore, for the bilinear finite element space, we derive asymptotic expansions of the eigenvalue error, an efficient extrapolation and an a posteriori error estimate for the eigenvalue. Finally,...
Approximation of eigenvalues and a Koehler's type method
Approximation of solution branches for semilinear bifurcation problems
Approximation of solution branches for semilinear bifurcation problems
This note deals with the approximation, by a P1 finite element method with numerical integration, of solution curves of a semilinear problem. Because of both mixed boundary conditions and geometrical properties of the domain, some of the solutions do not belong to H2. So, classical results for convergence lead to poor estimates. We show how to improve such estimates with the use of weighted Sobolev spaces together with a mesh “a priori adapted” to the singularity. For the H1 or L2-norms, we...
Approximation of solution branches of nonlinear equations