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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 314-316Superconvergence of the Space-Time Continuous...

Superconvergence of the Space-Time Continuous Finite Elements with Interpolated Coefficients for Semilinear Parabolic Problems

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Abstract:

In this article, a space-time continuous finite element method with interpolated coefficients for a class of semilinear parabolic problem is introduced and analyzed. Basic global error estimates are established under the convergence assumption for linear problem. Further application of the orthogonal expansion method which is to construct some superapproximate interpolating functions, the supperconvergence on mesh nodes is proved. Finally the result is tested by a numerical example.

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Advanced Manufacturing Technology, ADME 2011

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Periodical:

Advanced Materials Research (Volumes 314-316)

Pages:

1670-1675

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.314-316.1670

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Online since:

August 2011

Authors:

Zhi Guang Xiong, Guo Rong Chen, Xue Ling Wang

Keywords:

Basis Convergence, Semilinear Parabolic Problem, Space-Time Continuous Finite Element with Interpolated Coefficients, Superconvergence

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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