Accessible Requires Authentication Published by De Gruyter July 18, 2014

Adaptive Nonconforming Finite Element Approximation of Eigenvalue Clusters

Dietmar Gallistl

Abstract

This paper analyses an adaptive nonconforming finite element method for eigenvalue clusters of self-adjoint operators and proves optimal convergence rates (with respect to the concept of nonlinear approximation classes) for the approximation of the invariant subspace spanned by the eigenfunctions of the eigenvalue cluster. Applications include eigenvalues of the Laplacian and of the Stokes system.

Funding source: DFG Research Center Matheon

Received: 2014-4-18
Accepted: 2014-6-27
Published Online: 2014-7-18
Published in Print: 2014-10-1

© 2014 by De Gruyter