Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ERROR ESTIMATES FOR FULLY DISCRETE DISCONTINUOUS GALERKIN METHOD FOR NONLINEAR PARABOLIC EQUATIONS

  • Ohm, Mi-Ray (Division of Information Systems Engineering, Dongseo University) ;
  • Lee, Hyun-Yong (Department of Mathematics, Kyungsung University) ;
  • Shin, Jun-Yong (Division of Mathematical Sciences, Pukyong National University)
  • Received : 2010.02.05
  • Accepted : 2010.04.12
  • Published : 2010.05.30
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Abstract

In this paper, we develop discontinuous Galerkin methods with penalty terms, namaly symmetric interior penalty Galerkin methods to solve nonlinear parabolic equations. By introducing an appropriate projection of u onto finite element spaces, we prove the optimal convergence of the fully discrete discontinuous Galerkin approximations in ${\ell}^2(L^2)$ normed space.

Keywords

Acknowledgement

Supported by : Korea Research Foundation

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