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[1] I. Babuska and J. E. Osborn, Eigenvalue problems in Finite Element Methods,Part I , Eds. by P.G. Ciarlet and J. L. Lions, Elsevier, pp. 641-792, 1991. [2] J. Brandts and M. Krizek, History and future of superconvergence in three- dimen-sional FEMs, GAKUTO Inter. Series, Math. Sci., Appl., vol. 15, Tokyo, pp. 24-35, 2001. [3] Z.C. Li and N. Yang, New error estimates of bi-cubic Hermite finite element methods for biharmonic equations, J., Comp. and Applied. Math., vol. 142, pp. 251-285, 2002. [4] Q. Lin, High Performance FEMs, International Symposium on Computational and Applied PDEs, July 1-7, 2001, China. [5] Q. Lin, H.T. Huang and Z.C. Li, New expansions of eigenvalues for -Δu =λρu by non-conforming elements, Technical report, Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 2005. [6] Q. Lin and J. Lin, High Performance FEMs, to appear in China Sci. Tech. Press, 2003. [7] Q. Lin and N. Yang, Construction and Analysis of E.ective FEMs, Hebei Univ. Press, China, 1996. [8] Q. Lin and T. Lu, Asymptotic expansions for finite element eigenvalues and finite element solution, Proceedings 6 Int. Conf. on Comp. Meth. Appl. Sci. Eng. Versailles, 1983. [9] D.S. Wu, Convergence and superconvergence of Hermite bicubic element for eigen-value problem of biharmonic equation, J. Comp. Math., vol. 19, pp. 139-142, 2001. [10] J. Xu and A. Zhou, A two-grid discretization scheme for eigenvalue problems,Math. Comp., vol. 70, pp. 17-25, 1999. [11] Y.D. Yang, Computable error bounds for an eigenvalue problem in the finite element method, Chinese Numer. Math. and Appl., vol. 17, No. 1, pp. 68-77, 1995. [12] Y.D. Yang, A posteriori error estimates in Adini finite element for eigenvalue prob-lems, J. Comp. Math., vol. 18, pp. 413-418, 2000. [13] R. Rannacher and S. Turek, Simple nonconforming quadrilateral Stokes element, Numer. Methods PDEs, Vol. 8, pp. 97-111, 1992. [14] Q. Lin, L. Tobiska and A. Zhou, On the superconvergence of nonconforming low order finite elements applied to the Poisson equation, Preprint, 2001. [15] T. Lu, T.M. Shih and C.B. Liem, The Splitting Extrapolation Method and Combination Techniques, Science Press, China, 1998.
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