Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ERROR ESTIMATES OF FULLY DISCRETE DISCONTINUOUS GALERKIN APPROXIMATIONS FOR LINEAR SOBOLEV EQUATIONS

  • Ohm, M.R. (Division of Information System Engineering, Dongseo University) ;
  • Shin, J.Y. (Division of Mathematical Sciences, Pukyong National University) ;
  • Lee, H.Y. (Department of Mathematics, Kyungsung University)
  • Published : 2009.09.30
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Abstract

In this paper, we construct fully discrete discontinuous Galerkin approximations to the solution of linear Sobolev equations. We apply a symmetric interior penalty method which has an interior penalty term to compensate the continuity on the edges of interelements. The optimal convergence of the fully discrete discontinuous Galerkin approximations in ${\ell}^{\infty}(L^2)$ norm is proved.

Keywords

References

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