For more information about this meeting, contact Xiantao Li, Yuxi Zheng, Kris Jenssen, Jinchao Xu.
| Title: | Adaptive nonconforming finite element methods |
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| Seminar: | Computational and Applied Mathematics Colloquium |
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| Speaker: | Jun Hu, Peking University, China |
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| Abstract: |
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| 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 |
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| Date: | 10 / 15 / 2010 |
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| Time: | 03:35pm - 04:25pm |
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