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http://dx.doi.org/10.7858/eamj.2016.011

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)
Publication Information
East Asian mathematical journal / v.32, no.1, 2016 , pp. 101-115 More about this Journal
Abstract
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 ${\sigma}$.
Keywords
parabolic problems; mixed discontinuous Galerkin method; an interior penalty;
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Times Cited By KSCI : 2  (Citation Analysis)
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