PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Xiantao Li, Yuxi Zheng, Kris Jenssen, Jinchao Xu.

Title:Adaptive nonconforming finite element methods
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Jun Hu, Peking University, China
Abstract:
In first part of the talk, we present the adaptive Morley element method for the fourth order problem. We propose a new residual-based a posteriori error estimator and prove its reliability and efficiency. These results refine the results in the literature by dropping two edge jump terms in both the energy norm of the error and the estimator in the literature, and by showing the efficiency. Moreover, we develop a new technique to establish a quasi-orthogonality which is crucial for the convergence analysis of the adaptive nonconforming method. By introducing a new parameter-dependent error estimator and further establishing a discrete reliability property, sharp convergence and optimality estimates are then fully proved for the fourth order elliptic problem. In the second part of the talk, we present the adaptive nonconforming linear element method for the Stokes problem. We establish some crucial quasi-orthogonality to prove its convergence and optimal complexity.

Room Reservation Information

Room Number:MB106
Date:10 / 15 / 2010
Time:03:35pm - 04:25pm