Mixed finite element methods based on Riesz-representing operators for the shell problem |
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| Authors: | Duan Huoyuan Zhang Dali |
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| Affiliation: | (1) Department of Computer Sciences, China University of Geo-Sciences, 100083 Beijing, China;(2) Department of Applied Mathematics, Harbin Institute of Technology, 150006 Harbin, China |
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| Abstract: | To solve the shell problem, we propose a mixed finite element method with bubble-stabili -zation term and discrete Riesz-representation operators. It is shown that this new method is coercive, implytng the well-known X-ellipticity and the Inf-Sup condition being circumvented, and the resulting linear system is symmetrically positively definite, with a condition number being at most O(h-2). Further, an optimal error bound is attained. |
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| Keywords: | Koiter shell mixed finite element approximation local bubble functions Riesz-representing operators |
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