Jean-François Maitre

Multigrid Methods: Convergence Theory in a Variational Framework

To solve the symmetric variational problem:

About the conditioning of matrices in the p -version of the finite element method for second order elliptic problems

u \in H\, a(u,v) = L(v),\forall v \in H

Estimateur d'erreur a posteriori hiérarchique. Application aux éléments finis mixtes

, multigrid methods are constructed using a sequence of nested subspaces,

Norme composée et norme associée généralisée d'une matrice

U_k ,k = 0

CONDITION NUMBER AND DIAGONAL PRECONDITIONING: COMPARISON OF THE P-VERSION AND THE SPECTRAL ELEMENT METHODS

to m, of H. The convergence is studied relatively to the “energy-norm”, i.e. in the Hilbert space

Some remarks on the constant in the strengthened CBS inequality: Estimate for hierarchical finite element discretizations of elasticity problems

(H,a( \cdot , \cdot ))

Multigrid methods for symmetric variational problems: a general theory and convergence estimates for usual smoothers

and is based on the 2-level case

A posteriori error estimates in finite element methods for general Friedrichs' systems

(m = 1)

Normes et algorithmes associés à une découpe de matrice

. For the

Sur une classe de norm es et l'analyse a posteriori d'un systeme linéaire

(m + 1)