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Error estimates for fully discrete mixed discontinuous Galerkin approximations for parabolic problems

이현영|신준용|엄미례
영남수학회 (Youngnam Mathematical Society)|2015.09|East Asian Mathematical Journal|제31권 제5호|pp. 685-693|DOI http://dx.doi.org/10.7858/eamj.2015.049

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참고문헌

키워드

Convection dominated Sobolev equationsa split least squares methodcharacteristic mixed finite element methodconvergence of optimal order.
주제분류수학

초록

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

Abstract

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

참고문헌 (20)

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관련 논문AI추천

ERROR ESTIMATES FOR A SEMI-DISCRETE MIXED DISCONTINUOUS GALERKIN METHOD WITH AN INTERIOR PENALTY FOR PARABOLIC PROBLEMS신준용, 엄미례, 이현영영남수학회 · East Asian Mathematical Journal2016 · 제32권 제1호L^2-error analysis of fully discrete discontinuous Galerkin approximations for nonlinear Sobolev equations엄미례, 이현영대한수학회 · 대한수학회보2011 · 제48권 제5호A PRIORI L2-ERROR ESTIMATES OF THE CRANK-NICOLSON DISCONTINUOUS GALERKIN APPROXIMATIONS FOR NONLINEAR PARABOLIC EQUATIONS안민정, 이민아영남수학회 · East Asian Mathematical Journal2010 · 제26권 제5호A PRIORI L² ERROR ANALYSIS FOR AN EXPANDED MIXED FINITE ELEMENT METHOD FOR QUASILINEAR PSEUDO-PARABOLIC EQUATIONS신준용, 엄미례, 이현영대한수학회 · 대한수학회지2014 · 제51권 제1호OPTIMAL L²-ERROR ESTIMATES FOR EXPANDED MIXED FINITE ELEMENT METHODS OF SEMILINEAR SOBOLEV EQUATIONS신준용, 엄미례, 이현영대한수학회 · 대한수학회지2014 · 제51권 제3호ERROR ESTIMATES OF SEMIDISCRETE DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE VISCOELASTICITY-TYPE EQUATION신준용, 엄미례, 이현영대한수학회 · 대한수학회보2012 · 제49권 제4호

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