Adaptive Nonconforming Finite Element Approximation of Eigenvalue Clusters

作者：Gallistl Dietmar^*

来源：Computational Methods in Applied Mathematics, 2014, 14(4): 509-535.

DOI：10.1515/cmam-2014-0020

• Eigenvalue Problem
• Eigenvalue Cluster
• Adaptive Finite Element Method
• Stokes Operator
• Optimality

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.

• 出版日期2014-10