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Nonconforming elements in least-squares mixed finite element methods |
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| Authors: | Huo-Yuan Duan Guo-Ping Liang |
| Institution: | Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, Peoples Republic of China ; Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, Peoples Republic of China |
| Abstract: | In this paper we analyze the finite element discretization for the first-order system least squares mixed model for the second-order elliptic problem by means of using nonconforming and conforming elements to approximate displacement and stress, respectively. Moreover, on arbitrary regular quadrilaterals, we propose new variants of both the rotated  nonconforming element and the lowest-order Raviart-Thomas element. |
| Keywords: | Second-order elliptic problem least-squares mixed finite element method nonconforming element normal continuous element |
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