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ERROR ESTIMATES FOR FULLY DISCRETE MIXED DISCONTINUOUS GALERKIN APPROXIMATIONS FOR PARABOLIC PROBLEMS

  • OHM, MI RAY (DIVISION OF MECHATRONICS ENGINEERING, DONGSEO UNIVERSITY) ;
  • LEE, HYUN YOUNG (DEPARTMENT OF MATHEMATICS, KYUNGSUNG UNIVERSITY) ;
  • SHIN, JUN YONG (DEPARTMENT OF APPLIED MATHEMATICS, PUKYONG NATIONAL UNIVERSITY)
  • Received : 2015.09.02
  • Accepted : 2015.09.15
  • Published : 2015.09.30

Abstract

In this paper, we introduce fully discrete mixed discontinuous Galerkin approximations for parabolic problems. And we analyze the error estimates in $l^{\infty}(L^2)$ norm for the primary variable and the error estimates in the energy norm for the primary variable and the flux variable.

Keywords

References

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