Derivative superconvergent points in finite element solutions of harmonic functions-- A theoretical justification |
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| Authors: | Zhimin Zhang. |
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| Affiliation: | Department of Mathematics, Wayne State University, Detroit, Michigan 48202 |
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| Abstract: | Finite element derivative superconvergent points for harmonic functions under local rectangular mesh are investigated. All superconvergent points for the finite element space of any order that is contained in the tensor-product space and contains the intermediate family can be predicted. In the case of the serendipity family, results are given for finite element spaces of order below 6. The results justify the computer findings of Babuska, et al. |
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| Keywords: | Superconvergence finite element harmonic function |
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