PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Fei Wang.

Title:Adaptive nonconforming finite element approximation of eigenvalue clusters
Seminar:CCMA PDEs and Numerical Methods Seminar Series
Speaker:Dietmar Gallistl, Humboldt-Universit├Ąt zu Berlin
Abstract Link:http://www2.mathematik.hu-berlin.de/~gallistl/index.html/index_english.html
Abstract:
This talk presents optimal convergence rates of an adaptive nonconforming FEM for eigenvalue clusters. New techniques from the medius analysis enable the proof of $L^2$ error estimates and best-approximation properties for nonconforming finite element methods and thereby lead to the proof of optimality. Applications include the nonconforming $\mathcal P_1$ FEM for the eigenvalues of the Stokes system and the Morley FEM for the eigenvalues of the biharmonic operator. The optimality in terms of the concept of nonlinear approximation classes is concerned with the approximation of invariant subspaces spanned by eigenfunctions of an eigenvalue cluster. In order to obtain eigenvalue error estimates, this talk presents new estimates for nonconforming finite elements which relate the error of the eigenvalue approximation to the error of the approximation of the invariant subspace.

Room Reservation Information

Room Number:MB114
Date:05 / 23 / 2014
Time:12:15pm - 01:55pm