East Asian mathematical journal

  • 제32권1호
  • /
  • Pages.101-115
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  • 2016
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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ERROR ESTIMATES FOR A SEMI-DISCRETE MIXED DISCONTINUOUS GALERKIN METHOD WITH AN INTERIOR PENALTY 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)
  • 투고 : 2016.01.22
  • 심사 : 2016.01.29
  • 발행 : 2016.01.30
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초록

In this paper, we consider a semi-discrete mixed discontinuous Galerkin method with an interior penalty to approximate the solution of parabolic problems. We define an auxiliary projection to analyze the error estimate and obtain optimal error estimates in $L^{\infty}(L^2)$ for the primary variable u, optimal error estimates in $L^2(L^2)$ for ut, and suboptimal error estimates in $L^{\infty}(L^2)$ for the flux variable ${\sigma}$.

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연구 과제 주관 기관 : Kyungsung University

참고문헌

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