17 citations · 55 across the 10 of their papers we have counts for
4 papers · 2 filters
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters
Eric Cancès, Geneviève Dusson, Yvon Maday +2
This paper presents a posteriori error estimates for conforming numerical approximations of eigenvalue clusters of second-order self-adjoint elliptic linear operators with compact…
Analysis of the Feshbach-Schur method for the Fourier Spectral discretizations of Schr{ö}dinger operators
Geneviève Dusson, Israel Sigal, Benjamin Stamm
In this article, we propose a new numerical method and its analysis to solve eigenvalue problems for self-adjoint Schr{ö}dinger operators, by combining the Feshbach-Schur perturbat…
Analysis of the Schwarz domain decomposition method for the conductor-like screening continuum model
Arnold Reusken, Benjamin Stamm
We study the Schwarz overlapping domain decomposition method applied to the Poisson problem on a special family of domains, which by construction consist of a union of a large numb…
A Linear Scaling in Accuracy Numerical Method for Computing the Electrostatic Forces in the -Body Dielectric Spheres Problem
Muhammad Hassan, Benjamin Stamm
This article deals with the efficient and accurate computation of the electrostatic forces between charged, spherical dielectric particles undergoing mutual polarisation. We use th…