The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

We discuss the state of the art in numerical solution methods for large scale polynomial or
rational eigenvalue problems. We present the currently available solution methods such as …

Eigenvalue problems are ubiquitous in engineering and science. This book presents a
unified theoretical development of the two most important classes of algorithms for solving …

Many applications give rise to nonlinear eigenvalue problems with an underlying structured
matrix polynomial. In this paper several useful classes of structured polynomials (eg …

Matrix polynomial eigenproblems arise in many application areas, both directly and as
approximations for more general nonlinear eigenproblems. One of the most common …

We discuss the numerical solution of eigenvalue problems for matrix polynomials, where the
coefficient matrices are alternating symmetric and skew symmetric or Hamiltonian and skew …

This introductory and self-contained book gathers as much explicit mathematical results on
the linear-elastic and heat-conduction solutions in the neighborhood of singular points in …

We prove weighted anisotropic analytic estimates for solutions of second-order elliptic
boundary value problems in polyhedra. The weighted analytic classes which we use are the …

We address the computation by finite elements of the non-zero eigenvalues of the (curl, curl)
bilinear form with perfect conductor boundary conditions in a polyhedral cavity. One …

Abstract Skew-Hamiltonian and Hamiltonian eigenvalue problems arise from a number of
applications, particularly in systems and control theory. The preservation of the underlying …