3 papers
math-ph2026
Some effective operators for graphene monolayer superlattices, from variational perturbation theory
Louis Garrigue
Our goal is to provide precise effective operators for monolayer graphene at Fermi energy. We consider the microscopic potential created by a lattice, and add a macroscopic potenti…
math-ph2025
A multipoint perturbation formula for eigenvalue problems
Geneviève Dusson, Louis Garrigue, Benjamin Stamm
Standard perturbation theory of eigenvalue problems consists of obtaining approximations of eigenmodes in the neighborhood of an operator where the corresponding eigenmode is known…
math-ph2025
On reduced basis methods for eigenvalue problems, and on its coupling with perturbation theory
Louis Garrigue, Benjamin Stamm
In this article, we study eigenvalue problems associated to self-adjoint operators and their approximation obtained by subspace projection, as used in the reduced basis method for…