New bounds for the principal Dirichlet eigenvalue of planar regions.
New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals [Book]
New isoperimetric estimates for solutions to Monge-Ampère equations
Nilpotent Lie groups and eigenfunction expansions of Schrödinger operators II
Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations
The paper deals with error estimates and lower bound approximations of the Steklov eigenvalue problems on convex or concave domains by nonconforming finite element methods. We consider four types of nonconforming finite elements: Crouzeix-Raviart, , and enriched Crouzeix-Raviart. We first derive error estimates for the nonconforming finite element approximations of the Steklov eigenvalue problem and then give the analysis of lower bound approximations. Some numerical results are presented to...
Nonconforming Finite Element Methods for Eigenvalue Problems in Linear Plate Theory.
Numerical analysis of the adiabatic variable method for the approximation of the nuclear hamiltonian
Many problems in quantum chemistry deal with the computation of fundamental or excited states of molecules and lead to the resolution of eigenvalue problems. One of the major difficulties in these computations lies in the very large dimension of the systems to be solved. Indeed these eigenfunctions depend on variables where stands for the number of particles (electrons and/or nucleari) in the molecule. In order to diminish the size of the systems to be solved, the chemists have proposed many...
Numerical Analysis of the Adiabatic Variable Method for the Approximation of the Nuclear Hamiltonian
Many problems in quantum chemistry deal with the computation of fundamental or excited states of molecules and lead to the resolution of eigenvalue problems. One of the major difficulties in these computations lies in the very large dimension of the systems to be solved. Indeed these eigenfunctions depend on 3n variables where n stands for the number of particles (electrons and/or nucleari) in the molecule. In order to diminish the size of the systems to be solved, the chemists have proposed...
Numerical calculation of the essential spectrum of a Laplacian.
Numerical implementation of coherence for the example of the "Swiss Cross".