PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Yuxi Zheng, Kris Jenssen.

Title:Algebraic multilevel iteration methods: Application to nonconforming finite element discretizations
Seminar:CCMA PDEs and Numerical Methods Seminar Series
Speaker:Johannes Kraus, Austrian Academy of Sciences
Abstract:
Algebraic multilevel iteration (AMLI) has been introduced in the late eighties by Axelsson and Vassilevski as a powerful tool for efficiently solving systems of linear algebraic equations arising from conforming finite element discretization of (elliptic) partial differential equations.  In this talk we review linear and nonlinear AMLI algorithms, comment on their computational complexity and recall their basic convergence properties. Next we present some recent developments in extending the theory of AMLI methods to nonconforming finite element discretizations and to vector-field problems such as linear elasticity systems, and to variational problems in H(div). A key issue in the construction of the main components of any AMLI algorithm is the robustness of the resulting preconditioner with respect to certain problem parameters. Numerical experiments are presented that demonstrate the optimality of the considered AMLI methods.

Room Reservation Information

Room Number:MB216
Date:01 / 25 / 2010
Time:03:35pm - 04:25pm