L2-ERROR ANALYSIS OF FULLY DISCRETE DISCONTINUOUS GALERKIN APPROXIMATIONS FOR NONLINEAR SOBOLEV EQUATIONS

Title & Authors
L2-ERROR ANALYSIS OF FULLY DISCRETE DISCONTINUOUS GALERKIN APPROXIMATIONS FOR NONLINEAR SOBOLEV EQUATIONS
Ohm, Mi-Ray; Lee, Hyun-Young;

Abstract
In this paper, we develop a symmetric Galerkin method with interior penalty terms to construct fully discrete approximations of the solution for nonlinear Sobolev equations. To analyze the convergence of discontinuous Galerkin approximations, we introduce an appropriate projection and derive the optimal $\small{L^2}$ error estimates.
Keywords
nonlinear Sobolev equation;discontinuous Galerkin approximation;fully discrete approximations;optimal $\small{L^2}$ error estimates;
Language
English
Cited by
1.
A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS,;;

East Asian mathematical journal, 2016. vol.32. 5, pp.729-744
2.
A SPLIT LEAST-SQUARES CHARACTERISTIC MIXED FINITE ELEMENT METHOD FOR THE CONVECTION DOMINATED SOBOLEV EQUATIONS,;;

Journal of applied mathematics & informatics, 2016. vol.34. 1_2, pp.19-34
1.
A SPLIT LEAST-SQUARES CHARACTERISTIC MIXED FINITE ELEMENT METHOD FOR THE CONVECTION DOMINATED SOBOLEV EQUATIONS, Journal of applied mathematics & informatics, 2016, 34, 1_2, 19
2.
A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS, East Asian mathematical journal, 2016, 32, 5, 729
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