1. Examples of eigenvalue problems 645 1.1. One-dimensional problems 645 1.2. Higher-
dimensional problems 653 2. Sobolev spaces 658 3. Variational formulation of eigenvalue …

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

The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …

This book covers finite element methods for several typical eigenvalues that arise from
science and engineering. Both theory and implementation are covered in depth at the …

The purpose of this paper is to address some difficulties which arise in computing the
eigenvalues of Maxwell's system by a finite element method. Depending on the method …

Rate of convergence estimates are derived fro the approximation of eigenvalues and
eigenvectors by mixed and hybrid methods. Several closely related abstract results on …

A theoretical framework for the analysis of discontinuous Galerkin approximations of the
Maxwell eigenproblem with discontinuous coefficients is presented. Necessary and …

Virtual element method for second-order elliptic eigenvalue problems | IMA Journal of
Numerical Analysis | Oxford Academic Skip to Main Content Advertisement Oxford Academic …

The convergence of Galerkin finite element approximations of electromagnetic
eigenproblems modelling cavity resonators is studied. Since the operator involved is …