A sparse finite element method with high accuracy part I

Numerische Mathematik

Volumn 88, Issue 4, 2001, Pages 731-742

  Lin, Qun ^a   Yan, Ningning ^b   Zhou, Aihui ^a  

^a INSTITUTE OF COMPUTATIONAL MATHEMATICS AND SCIENTIFIC ENGINEERING COMPUTING   (China)

^b INSTITUTE OF SYSTEMS SCIENCE   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035620391     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005456     Document Type: Article

References (21)

1. Bungartz, H.-J., Griebel, M., Rüde, U. (1994): Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems. Comput. Methods Appl. Mech. Engrg. 116, 243-252
2. Chen, C.-M. (1982): The Finite Element Method and Its Analysis in Improving Accuracy, (in Chinese), Hunan Science Press
3. Ciarlet, P.G. (1978): The Finite Element Method for Elliptic Problems, North-Holland
4. 2 AN 8, 61-66
5. Duran, R. (1990): Superconvergence for rectangular mixed finite elements. Numer. Math. 58, 287-298
6. Ewing, R.E., Lazarov, R.D., Wang J. (1991): Superconvergence of the velocity along the Gauss line in mixed finite element methods. SIAM J. Numer. Anal. 18, 1015-1029
7. Girault, V., Raviart, P.A. (1986): Finite Element Methods for Navier-Stokes Equations-Theory and Algorithms, Springer-Verlag
8. Griebel, M., Schneider, M., Zenger, Chr. (1992): A combination technique for the solution of sparse grid problem, in: Iterative Methods in Linear Algebra (eds., de Groen P., Beauwens, R.), IMACS, Elsever, North Holland, 163-281
9. Krizek, M., Neittaanmaki, P. (1987): On superconvergence techniques. Acta Appl. Math. 9, 175-198
10. 2 AN 13, 139-166
11. Lin, Q. (1990), An integral identity and interpolationed postprocess in superconvergence, Research Report 90-07, Inst. of Sys. Sci., Academia sinica
12. Lin, Q., Yan, N.N., Zhou, A. (1991): A rectangle test for interpolated finite elements, in: Proc. of Sys. Sci. & Sys. Engrg., Great Wall Culture Publish Co., Hong Kong, 217-229
13. Lin, Q. Yan, N.N., Zhou, A. (1995): Reasonable coupling for different elements on different subdomains, Beijing Math. 1, Part 2, 19-26
14. Lin, Q., Zhou, A. (1993): Notes on superconvergence and its related topics. J. Comp. Math. 11, 211-214
15. Lin, Q., Zhu, Q.D. (1994): The Preprocessing and Postprocessing for the Finite Element Method, Shanghai Sci. and Tech. Publishers (in Chinese)
16. Wahlbin, L.B. (1995): Superconvergence in Galerkin Finite Element Methods, 1605, Lecture Notes in Math., Springer
17. Yserentant, H. (1986): On the multi-level splitting of finite element spaces. Numer. Math. 49, 379-412
18. Yserentant, H. (1993): Old and new convergence proofs for multigrid methods. Acta Numerica, 285-326
19. th GAMM-Seminar, Hackbush, ed., Braunschweig, Vieweg-Verlag
20. Zhou, A. (1996): Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation. RAIRO Math. Modelling Numer. Anal. 30, 401-411
21. Zhou, A., Li, J. (1994): The full approximation accuracy for the stream function-vorticity-pressure method. Numer. Math. 68, 427-435