We discuss the finite element approximation of eigenvalue problems associated with
compact operators. While the main emphasis is on symmetric problems, some comments …

In this paper, an adaptive finite element method for elliptic eigenvalue problems is studied.
Both uniform convergence and optimal complexity of the adaptive finite element eigenvalue …

This paper introduces fully computable two-sided bounds on the eigenvalues of the Laplace
operator on arbitrarily coarse meshes based on some approximation of the corresponding …

The paper deals with the a posteriori error analysis of a virtual element method for the
Steklov eigenvalue problem. The virtual element method has the advantage of using …

The Kohn--Sham model is a powerful, widely used approach for computation of ground state
electronic energies and densities in chemistry, materials science, biology, and nanoscience …

We prove the convergence of an adaptive linear finite element method for computing
eigenvalues and eigenfunctions of second-order symmetric elliptic partial differential …

This paper derives a posteriori error estimates for conforming numerical approximations of
the Laplace eigenvalue problem with a homogeneous Dirichlet boundary condition. In …

In this paper we introduce and analyze an a posteriori error estimator for the linear finite
element approximations of the Steklov eigenvalue problem. We define an error estimator of …

A posteriori estimates for the Stokes eigenvalue problem Page 1 A Posteriori Estimates for the
Stokes Eigenvalue Problem Carlo Lovadina,1,2 Mikko Lyly,3 Rolf Stenberg4 1Dipartimento di …

Abstract The Adaptive Finite Element Method (AFEM) for approximating solutions of PDE
boundary value and eigenvalue problems is a numerical scheme that automatically and …