Journal of the Korean Society for Industrial and Applied Mathematics

  • 제6권2호
  • /
  • Pages.85-97
  • /
  • 2002
  • /
  • 1226-9433(pISSN)
  • /
  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
권호 표지

FINITE VOLUME ELEMENT METHODS FOR NONLINEAR PARABOLIC PROBLEMS

  • LI, QIAN (Department of Mathematics Shandong Normal University) ;
  • LIU, ZHONGYAN (Department of Mathematics Shandong Normal University)
  • 발행 : 2002.12.31
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초록

In this paper, finite volume element methods for nonlinear parabolic problems are proposed and analyzed. Optimal order error estimates in $W^{1,p}$ and $L_p$ are derived for $2{\leq}p{\leq}{\infty}$. In addition, superconvergence for the error between the approximation solution and the generalized elliptic projection of the exact solution (or and the finite element solution) is also obtained.

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