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Nonconforming finite element method for nonlinear parabolic equations

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Abstract

A nonconforming finite element method for the nonlinear parabolic equations is studied in this paper. The convergence analysis is presented and the optimal error estimate in L 2(‖·‖ h ) norm is obtained through Ritz projection technique, where ‖·‖ h is a norm over the finite element space.

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This research is supported by the Natural Science Foundation of China under Grant Nos. 10671184 and 10971203

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Shi, D., Zhang, B. Nonconforming finite element method for nonlinear parabolic equations. J Syst Sci Complex 23, 395–402 (2010). https://doi.org/10.1007/s11424-010-7120-2

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  • DOI: https://doi.org/10.1007/s11424-010-7120-2

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