Matrix exponentials and inversion of confluent Vandermonde matrices.
Méthode numérique de détection de la singularité d'une matrice.
Mixed finite element approximation of an MHD problem involving conducting and insulating regions : the 2D case
We show that the Maxwell equations in the low frequency limit, in a domain composed of insulating and conducting regions, has a saddle point structure, where the electric field in the insulating region is the Lagrange multiplier that enforces the curl-free constraint on the magnetic field. We propose a mixed finite element technique for solving this problem, and we show that, under mild regularity assumption on the data, Lagrange finite elements can be used as an alternative to edge elements.
Mixed Finite Element approximation of an MHD problem involving conducting and insulating regions: the 2D case
We show that the Maxwell equations in the low frequency limit, in a domain composed of insulating and conducting regions, has a saddle point structure, where the electric field in the insulating region is the Lagrange multiplier that enforces the curl-free constraint on the magnetic field. We propose a mixed finite element technique for solving this problem, and we show that, under mild regularity assumption on the data, Lagrange finite elements can be used as an alternative to edge elements.
Moderate deviations in a random graph and for the spectrum of Bernoulli random matrices.
Modified Gram-Schmidt for solving linear least squares problems is equivalent to Gaussian elimination for the normal equations
Monitoring the Stability of the Triangular Factorization of a Sparse Matrix.
Multidimensional matrix inversions.