Sur la méthode des éléments finis hybrides pour le problème biharmonique.
Sur l'approximation, par éléments finis d'ordre un, et la résolution, par pénalisation-dualité d'une classe de problèmes de Dirichlet non linéaires
Sur le découplage de problèmes elliptiques dans des ouverts cylindriques de avec des éléments finis prismatiques
Sur l'élément de Clough et Tocher
Sur l'élément de Fraeijs de Veubeke et Sander
Sur l'élément de Fraeijs de Veubeke et Sander
Sur les éléments finis rationnels de Serendip de degré quelconque.
Sur les elements finis rationnels de Wachspress.
Sur l’évaluation de l’erreur d’interpolation de Lagrange dans un ouvert de
Sur l’évaluation de l’erreur d’interpolation de Lagrange dans un ouvert de
Sur une méthode d'éléments finis mixte pour l'équation biharmonique
The analysis of intergrid transfer operators and multigrid methods for nonconforming finite elements.
The approximation of the pressure by a mixed method in the simulation of miscible displacement
The boundary element method with linear boundary elements for the Stokes flow.
The Cauchy problem for the homogeneous time-dependent Oseen system in : spatial decay of the velocity
We consider the homogeneous time-dependent Oseen system in the whole space . The initial data is assumed to behave as , and its gradient as , when tends to infinity, where is a fixed positive number. Then we show that the velocity decays according to the equation , and its spatial gradient decreases with the rate , for tending to infinity, uniformly with respect to the time variable . Since these decay rates are optimal even in the stationary case, they should also be the best possible...
The combination technique for a two-dimensional convection-diffusion problem with exponential layers
Convection-diffusion problems posed on the unit square and with solutions displaying exponential layers are solved using a sparse grid Galerkin finite element method with Shishkin meshes. Writing for the maximum number of mesh intervals in each coordinate direction, our “combination” method simply adds or subtracts solutions that have been computed by the Galerkin FEM on , and meshes. It is shown that the combination FEM yields (up to a factor ) the same order of accuracy in the associated...
The convergence of a Galerkin approximation scheme for an extensible beam
The Convergence of Spline Collocation for Strongly Elliptic Equations on Curves.
The Convergence of two Numerical Schemes for the Navier-Stokes Equations.
The Convergence rate and Complexity of Precondotioned Iterative methods based on Approximate finite Element matrix Factorization