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math.NA2024
Fully guaranteed and computable error bounds on the energy for periodic Kohn-Sham equations with convex density functionals
Andrea Bordignon, Geneviève Dusson, Éric Cancès +3
In this article, we derive fully guaranteed error bounds for the energy of convex nonlinear mean-field models. These results apply in particular to Kohn-Sham equations with convex…
math.NA2020
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…