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A low order nonconforming anisotropic finite element approximation to parabolic problem

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Abstract

A low order nonconforming finite element is applied to the parabolic problem with anisotropic meshes. Both the semidiscrete and fully discrete forms are studied. Some superclose properties and superconvergence are obtained through some novel approaches and techniques.

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Correspondence to Dongyang Shi.

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This research was supported by the National Natural Science Foundation of China under Grant No. 10671184.

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Shi, D., Gong, W. A low order nonconforming anisotropic finite element approximation to parabolic problem. J Syst Sci Complex 22, 518–532 (2009). https://doi.org/10.1007/s11424-009-9183-5

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  • DOI: https://doi.org/10.1007/s11424-009-9183-5

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