Nonconforming elements in least-squares mixed finite element methods
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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 ${\mathcal Q}_1$ nonconforming element and the lowest-order Raviart-Thomas element.References
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Additional Information
- Huo-Yuan Duan
- Affiliation: Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, Peoples Republic of China
- Email: dhymath@yahoo.com.cn
- Guo-Ping Liang
- Affiliation: Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, Peoples Republic of China
- Email: lin@fegen.com
- Received by editor(s): May 29, 2001
- Received by editor(s) in revised form: May 7, 2002
- Published electronically: March 27, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Math. Comp. 73 (2004), 1-18
- MSC (2000): Primary 65N30
- DOI: https://doi.org/10.1090/S0025-5718-03-01520-5
- MathSciNet review: 2034108