A streamline diffusion method for a singularly perturbed conservative convection-diffusion problem

  • Authors:

  • Zhongdi Cen;Lifeng Xi

  • Affiliations:

  • Zhejiang Wanli University, Institute of Mathematics, Ningbo, P.R. China;Zhejiang Wanli University, Institute of Mathematics, Ningbo, P.R. China

  • Venue:
  • CEA'09 Proceedings of the 3rd WSEAS international conference on Computer engineering and applications
  • Year:
  • 2009

  • Very high-order finite volume method for one-dimensional convection diffusion problems

    MMES'11/DEEE'11/COMATIA'11 Proceedings of the 2nd international conference on Mathematical Models for Engineering Science, and proceedings of the 2nd international conference on Development, Energy, Environment, Economics, and proceedings of the 2nd international conference on Communication and Management in Technological Innovation and Academic Globalization

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Abstract

In this paper we apply a streamline diffusion finite element method (SDFEM) to a singularly perturbed conservative convection-diffusion problem. The stability and accuracy of the SDFEM on arbitrary grids are studied. We derive the pointwise error estimates and the approximation of derivatives. Numerical experiments support our theoretical results.