A new superconvergence property of Wilson nonconforming finite element

Numerische Mathematik

Volumn 78, Issue 2, 1997, Pages 259-268

  Shi, Zhong Ci ^a   Jiang, Bin ^a   Xue, Weimin ^b  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^b HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031325937     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050312     Document Type: Article

References (9)

1. Chen, H.C., Li, B. (1994): Superconvergence analysis and error expansion for the Wilson noncomforming finite element. Numer. Math. 69, 125-140
2. Ciarlet, P.G. (1978): The Finite Element Method for Elliptic Problems. North Holland
3. Lesaint, P. (1976): On the convergence of Wilson nonconforming element tor solving the elastic problem. Comput. Methods. Appl. Mech. Engng. 7, 1-6
4. Lesaint, P., Zlamal, M. (1980): Convergence of the nonconforming Wilson element for arbitrary quadrilateral meshes. Numer. Math., 36, 33-82
5. Li, B. (1987): An analysis on the convergence of Wilson's nonconforming element, the 1st China Conf. on Numerical Methods for PDE (in Chinese)
6. Shi, Z.C. (1984): A convergence condition for the quadrilateral Wilson element. Numer. Math. 44, 349-361
7. Shi, Z.C. (1986): A remark on the optimal order of convergence of Wilson nonconforming element. Math. Numer. Sinica, 8, 159-163 (in Chinese)
8. Zhu, Q.D., Lin, Q. (1989): Superconvergence Theory of the Finite Element Methods. Hunan Science Press (in Chinese)
9. Zienkiewicz, O.C. (1977): The Finite Element Method. 3rd edn, Mcgraw-Hill, New York