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ERROR ESTIMATES FOR A SEMI-DISCRETE MIXED DISCONTINUOUS GALERKIN METHOD WITH AN INTERIOR PENALTY FOR PARABOLIC PROBLEMS

이현영|신준용|엄미례
영남수학회 (Youngnam Mathematical Society)|2016.01|East Asian Mathematical Journal|제32권 제1호|pp. 101-115|DOI http://dx.doi.org/10.7858/eamj.2016.011

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참고문헌

키워드

parabolic problemsmixed discontinuous Galerkin methodan interior penalty
주제분류수학

초록

In this paper, we consider a semi-discrete mixed discontinuousGalerkin method with an interior penalty to approximate the solution ofparabolic problems. We de ne an auxiliary projection to analyze the errorestimate and obtain optimal error estimates in L∞(L2) for the primaryvariable u, optimal error estimates in L2(L2) for ut, and suboptimal errorestimates in L∞(L2) for theux variable σ.

Abstract

In this paper, we consider a semi-discrete mixed discontinuousGalerkin method with an interior penalty to approximate the solution ofparabolic problems. We de ne an auxiliary projection to analyze the errorestimate and obtain optimal error estimates in L∞(L2) for the primaryvariable u, optimal error estimates in L2(L2) for ut, and suboptimal errorestimates in L∞(L2) for theux variable σ.

참고문헌 (19)

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관련 논문AI추천

Error estimates for fully discrete mixed discontinuous Galerkin approximations for parabolic problems신준용, 엄미례, 이현영영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호A PRIORI L2-ERROR ESTIMATES OF THE CRANK-NICOLSON DISCONTINUOUS GALERKIN APPROXIMATIONS FOR NONLINEAR PARABOLIC EQUATIONS안민정, 이민아영남수학회 · East Asian Mathematical Journal2010 · 제26권 제5호OPTIMAL L²-ERROR ESTIMATES FOR EXPANDED MIXED FINITE ELEMENT METHODS OF SEMILINEAR SOBOLEV EQUATIONS신준용, 엄미례, 이현영대한수학회 · 대한수학회지2014 · 제51권 제3호A PRIORI L² ERROR ANALYSIS FOR AN EXPANDED MIXED FINITE ELEMENT METHOD FOR QUASILINEAR PSEUDO-PARABOLIC EQUATIONS신준용, 엄미례, 이현영대한수학회 · 대한수학회지2014 · 제51권 제1호ERROR ESTIMATES OF SEMIDISCRETE DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE VISCOELASTICITY-TYPE EQUATION신준용, 엄미례, 이현영대한수학회 · 대한수학회보2012 · 제49권 제4호L^2-error analysis of fully discrete discontinuous Galerkin approximations for nonlinear Sobolev equations엄미례, 이현영대한수학회 · 대한수학회보2011 · 제48권 제5호

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