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High accuracy nonconforming finite elements for fourth order problems |
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| Authors: | Ming Wang PengHe Zu Shuo Zhang |
| Affiliation: | 1. LMAM and School of Mathematical Sciences, Peking University, Beijing, 100871, China 2. LSEC, ICMSEC and NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China |
| Abstract: | The approach of nonconforming finite element method admits users to solve the partial differential equations with lower complexity, but the accuracy is usually low. In this paper, we present a family of high-accuracy nonconforming finite element methods for fourth order problems in arbitrary dimensions. The finite element methods are given in a unified way with respect to the dimension. This is an effort to reveal the balance between the accuracy and the complexity of finite element methods. |
| Keywords: | fourth order problem nonconforming finite element high accuracy arbitrary dimensions |
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