Über die punktweise Konvergenz Finiter Elemente. - On the Pointwise Convergence of Finite Elements.
Un problema di omogeneizzazione bidimensionale
In this note we study the periodic homogenization problem for a particular bidimensional selfadjoint elliptic operator of the second order. Theoretical and numerical considerations allow us to conjecture explicit formulae for the coefficients of the homogenized operator.
Un schéma d’interpolation rationnel sur un quadrilatère de classe
Une méthode d'approximation mixte des équations des fluides non newtoniens de troisième grade.
Une méthode d'éléments finis hybrides en décomposition de domaines
Une méthode d'éléments finis mixte pour les équations de Von Kármán
Une méthode nodale appliquée à un problème de diffusion à coefficients généralisés
Une méthode nodale appliquée à un problème de diffusion à coefficients généralisés
In this paper, we consider second order neutrons diffusion problem with coefficients in L∞(Ω). Nodal method of the lowest order is applied to approximate the problem's solution. The approximation uses special basis functions [1] in which the coefficients appear. The rate of convergence obtained is O(h2) in L2(Ω), with a free rectangular triangulation.
Une méthode numérique pour le calcul des points de retournement. Application à un problème aux limites non-linéaire. I. Etude théorique et expérimentation de la méthode.
Une méthode numérique pour le calcul des points de retournement. Application à un problème aux limites non-linéaire. II. Analyse numérique d'un problème aux limites non linéaire.
Une méthode numérique pour les problèmes d'équilibre de corps hyperélastiques compressibles en grandes déformations.
Unified error analysis of discontinuous Galerkin methods for parabolic obstacle problem
We introduce and study various discontinuous Galerkin (DG) finite element approximations for a parabolic variational inequality associated with a general obstacle problem in
Uniform Bivariate Hermite Interpolation. I. Coordinate Degree.
Uniform convergence of a Galerkin-type method for a non-linear boundary value problem
Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation
For the efficient numerical solution of indefinite linear systems arising from curl conforming edge element approximations of the time-harmonic Maxwell equation, we consider local multigrid methods (LMM) on adaptively refined meshes. The edge element discretization is done by the lowest order edge elements of Nédélec’s first family. The LMM features local hybrid Hiptmair smoothers of Jacobi and Gauss–Seidel type which are performed only on basis functions associated with newly created edges/nodal...
Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation∗
For the efficient numerical solution of indefinite linear systems arising from curl conforming edge element approximations of the time-harmonic Maxwell equation, we consider local multigrid methods (LMM) on adaptively refined meshes. The edge element discretization is done by the lowest order edge elements of Nédélec’s first family. The LMM features local hybrid Hiptmair smoothers of Jacobi and Gauss–Seidel type which are performed only on basis functions associated with newly created edges/nodal...
Uniform in discretization error estimates for convection dominated convection-diffusion problems
Uniform stability of linear multistep methods in Galerkin procedures for parabolic problems.
Uniformly stable mixed hp-finite elements on multilevel adaptive grids with hanging nodes
We consider a family of quadrilateral or hexahedral mixed hp-finite elements for an incompressible flow problem with Qr-elements for the velocity and discontinuous -elements for the pressure where the order r can vary from element to element between 2 and an arbitrary bound. For multilevel adaptive grids with hanging nodes and a sufficiently small mesh size, we prove the inf-sup condition uniformly with respect to the mesh size and the polynomial degree.
Upstream weighting and mixed finite elements in the simulation of miscible displacements