For more information about this meeting, contact Yuxi Zheng.
| Title: | Optimal approximation spaces for problems with rough coefficients |
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| Seminar: | CCMA PDEs and Numerical Methods Seminar Series |
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| Speaker: | Helen Li, University of Maryland |
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| Abstract: |
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| This talk concerns the approximate solution of 2m-th order elliptic
equations with rough coefficients, such as arise in the study of
heterogeneous materials. Since it is known that the usual
finite element method, which employs piecewise polynomial shape
functions, does not provide accurate approximation for such problems,
we use ^special shape functions^ which reflect the
local nature of the unknown solution more accurately than do piecewise
polynomials. These shape functions are solutions of the related homogeneous equation, and can be viewed as a generalization of classical L-splines.
I will also address the problem of identifying optimal shape
functions, and it is shown that the special shape functions are optimal
in the sense of N-widths. |
Room Reservation Information
| Room Number: | MB216 |
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| Date: | 04 / 20 / 2009 |
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| Time: | 03:35pm - 04:25pm |
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