François Musy

Multigrid Methods: Convergence Theory in a Variational Framework

To solve the symmetric variational problem:

A survey of parallel solvers for the finite element method in computational electromagnetics

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

COMPARISON OF METHODS FOR MODELING UNCERTAINTIES IN A 2D HYPERTHERMIA PROBLEM

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

A Stochastic Collocation Method Combined With a Reduced Basis Method to Compute Uncertainties in Numerical Dosimetry

U_k ,k = 0

Probabilistic methods applied to 2D electromagnetic numerical dosimetry

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

Post processing for the vector finite element method: accurate computing of dual field

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

Post processing for the vector finite element method: from edge to nodal values

and is based on the 2-level case

New trends in parallel electromagnetic fields computation

(m = 1)

Compatible Coarse Nodal and Edge Elements Through Energy Functionals

. For the

Algebraic multilevel methods for edge elements

(m + 1)