Full-Order Convergence of a Mixed Finite Element Method for Fourth-Order Elliptic Equations |
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| Authors: | Jichun Li |
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| Affiliation: | Texas Institute for Computational and Applied Mathematics (TICAM), TAY 2.400; C0200, University of Texas at Austin, Austin, Texas, 78712 |
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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. |
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