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 …

We propose and analyze a finite element method for the Oseen eigenvalue problem. This
problem is an extension of the Stokes eigenvalue problem, where the presence of the …

This paper is devoted to studying the Arnold--Winther mixed finite element method for two-
dimensional Stokes eigenvalue problems using the stress-velocity formulation. A priori error …

In this paper, we discuss the a posteriori error estimates and adaptive algorithm of non-
conforming mixed finite elements including the Crouzeix–Raviart element and the enriched …

Numerical solution strategies for the Stokes eigenvalue problem based on the use of penalty
formulations are investigated in this study. It is shown that the penalty method approach can …

In this paper, we present a divergence-conforming discontinuous Galerkin finite element
method for Stokes eigenvalue problems. We prove a priori error estimates for the eigenvalue …

A triangular spectral element method is proposed for Stokes eigenvalues, which utilizes the
generalized orthogonal Koornwinder polynomials as the local basis functions. The local …

The aim of this paper is to analyze a mixed formulation for the two dimensional Stokes
eigenvalue problem where the unknowns are the stress and the velocity, whereas the …

In this paper, the stabilized finite element approximation of the Stokes eigenvalue problems
is considered for both the two-field (displacement–pressure) and the three-field (stress …

In this paper we discuss the optimal convergence of a standard adaptive scheme based on
mixed finite element approximation to the solution of the eigenvalue problem associated …