Schéma aux différences finies pour une équation elliptique quasilinéaire dans un domaine arbitraire
Schéma de différences finies pour un système d'équations non linéaires partielles elliptiques aux dérivées mixtes et avec des conditions aux limites du type de Dirichlet
Schéma des différences finies pour un système d'équations non linéaires partielles elliptiques aux dérivées mixtes et avec des conditions aux limites du type de Neumann
Schéma des différences finies pour un système d'équations paraboliques non linéaires avec dérivées mixtes
Schéma des différences finies pour une équation non linéaire partielle du type elliptique avec dérivées mixtes
Schrödinger operator with magnetic field in domain with corners
We present here a simplified version of results obtained with F. Alouges, M. Dauge, B. Helffer and G. Vial (cf [4, 7, 9]). We analyze the Schrödinger operator with magnetic field in an infinite sector. This study allows to determine accurate approximation of the low-lying eigenpairs of the Schrödinger operator in domains with corners. We complete this analysis with numerical experiments.
Schwarz alternating and iterative refinemnt methods for mixed formulations of elliptic problems, part I: algorithms and numerical results.
Schwarz alternating and iterative refinemnt methods for mixed formulations of elliptic problems, part II: convergence theory.
Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case
We propose and study some new additive, two-level non-overlapping Schwarz preconditioners for the solution of the algebraic linear systems arising from a wide class of discontinuous Galerkin approximations of elliptic problems that have been proposed up to now. In particular, two-level methods for both symmetric and non-symmetric schemes are introduced and some interesting features, which have no analog in the conforming case, are discussed. Both the construction and analysis of the proposed domain...
Schwarz methods over the course of time.
s∗-compressibility of the discrete Hartree-Fock equation
The Hartree-Fock equation is widely accepted as the basic model of electronic structure calculation which serves as a canonical starting point for more sophisticated many-particle models. We have studied the s∗-compressibility for Galerkin discretizations of the Hartree-Fock equation in wavelet bases. Our focus is on the compression of Galerkin matrices from nuclear Coulomb potentials and nonlinear terms in the Fock operator which hitherto has not been discussed in the literature. It can be shown...
s∗-compressibility of the discrete Hartree-Fock equation
The Hartree-Fock equation is widely accepted as the basic model of electronic structure calculation which serves as a canonical starting point for more sophisticated many-particle models. We have studied the s∗-compressibility for Galerkin discretizations of the Hartree-Fock equation in wavelet bases. Our focus is on the compression of Galerkin matrices from nuclear Coulomb potentials and nonlinear terms in the Fock operator which hitherto has not been discussed in the literature. It can be shown...
Second-Order Finite Element Approximations and a posteriori Error Estimation for Two-Dimensional Parabolic Systems.
Semicoarsening multigrid for systems.
Semidiscrete and single step fully discrete approximations for second order hyperbolic equations
Semidiscrete central difference method in time for determining surface temperatures.
Semiorthogonal linear prewavelets on irregular meshes
We extend results on constructing semiorthogonal linear spline prewavelet systems in one and two dimensions to the case of irregular dyadic refinement. In the one-dimensional case, we obtain sharp two-sided inequalities for the -condition, 1 < p < ∞, of such systems.
Semiregular finite elements in solving some nonlinear problems
In this paper, under the maximum angle condition, the finite element method is analyzed for nonlinear elliptic variational problem formulated in [4]. In [4] the analysis was done under the minimum angle condition.
Semiregular hermite tetrahedral finite elements
Tetrahedral finite -elements of the Hermite type satisfying the maximum angle condition are presented and the corresponding finite element interpolation theorems in the maximum norm are proved.
Several notes on the circumradius condition
Recently, the so-called circumradius condition (or estimate) was derived, which is a new estimate of the -error of linear Lagrange interpolation on triangles in terms of their circumradius. The published proofs of the estimate are rather technical and do not allow clear, simple insight into the results. In this paper, we give a simple direct proof of the case. This allows us to make several observations such as on the optimality of the circumradius estimate. Furthermore, we show how the case...