The aim of this paper is to develop a virtual element method for the two-dimensional Steklov
eigenvalue problem. We propose a discretization by means of the virtual elements …

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 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 …

In this paper, a full (nested) multigrid scheme is proposed to solve eigenvalue problems. The
idea here is to use a correction method to transform the eigenvalue problem solving to a …

We propose an efficient numerical method for a non-selfadjoint Steklov eigenvalue problem.
The Lagrange finite element is used for discretization and the convergence is proved using …

We introduce a type of full multigrid method for the nonlinear eigenvalue problem. The main
idea is to transform the solution of the nonlinear eigenvalue problem into a series of …

In this paper we analyze a virtual element method (VEM) for the non-self-adjoint Steklov
eigenvalue problem. The conforming VEM on polytopal meshes is used for discretization …

The aim of this paper is to analyze the influence of small edges in the computation of the
spectrum of the Steklov eigenvalue problem by a lowest order virtual element method …

We present a method for the fast computation of the eigenpairs of a bijective positive
symmetric linear operator L. The method is based on a combination of operator adapted …

We numerically investigate the generalized Steklov problem for the modified Helmholtz
equation and focus on the relation between its spectrum and the geometric structure of the …