For more information about this meeting, contact Xiantao Li, Yuxi Zheng, Kris Jenssen, Jinchao Xu, Hope Shaffer.
| Title: | Numerical Techniques for Axisymmetric Problems |
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| Seminar: | Computational and Applied Mathematics Colloquium |
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| Speaker: | Hengguang Li, IMA |
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| Abstract: |
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| 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 |
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| Date: | 02 / 11 / 2011 |
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| Time: | 03:35pm - 04:25pm |
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