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, Hope Shaffer.

Title:Numerical Techniques for Axisymmetric Problems
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Hengguang Li, IMA
Abstract:
We shall discuss finite element and multigrid techniques solving the axisymmetric Poisson’s equation and the azimuthal Stokes problem on polygonal domains with possible singular solutions. In particular, we construct stable interpolation operators and establish the well-posedness and regularity in some weighted Sobolev space, which in turn, leads to special finite element spaces to approximate the solutions in the optimal rate. With a careful formulation, we also obtain uniform convergence of the MG methods. These estimates can also be used to show the stability of the Taylor-Hood elements for the axisymmetric Stokes problem and to precondition the indefinite system from the axisymmetric Stokes equations.

Room Reservation Information

Room Number:MB106
Date:02 / 11 / 2011
Time:03:35pm - 04:25pm