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

  Info
Periodical
Advanced Materials Research (Volumes 314-316)
Chapter
CAM/CAE
Edited by
Jian Gao
Pages
1670-1675
DOI
10.4028/www.scientific.net/AMR.314-316.1670
Citation
Z. G. Xiong, G. R. Chen, X. L. Wang, "Superconvergence of the Space-Time Continuous Finite Elements with Interpolated Coefficients for Semilinear Parabolic Problems", Advanced Materials Research, Vols. 314-316, pp. 1670-1675, 2011
Online since
August 2011
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