Full-Order Convergence of a Mixed Finite Element Method for Fourth-Order Elliptic Equations

Author: Roos J.H-G.  

Publisher: Academic Press

ISSN: 0022-247X

Source: Journal of Mathematical Analysis and Applications, Vol.230, Iss.2, 1999-02, pp. : 329-349

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Abstract

By using a special interpolation operator and an elaborate element analysis, in this paper, we improve the classical error estimates to full order for a mixed finite element method for the fourth-order elliptic equations on the rectangular mesh. Therefore we obtain the truly optimal error estimates in view of the interpolation space for the first time.