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 …

About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …

Finite element exterior calculus is an approach to the design and understanding of finite
element discretizations for a wide variety of systems of partial differential equations. This …

The terms" mixed finite element method"," hybrid finite element method", and even" mixed-
hybrid finite element method" come essentially from the vocabulary of structural mechanics …

Finite Element Methods for Viscous Incompressible Flows examines mathematical aspects
of finite element methods for the approximate solution of incompressible flow problems. The …

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 …

In the approximation of linear elliptic operators in mixed form, it is well known that the so-
called inf-sup and ellipticity in the kernel properties are sufficient (and, in a sense to be …