East Asian mathematical journal
- Volume 26 Issue 5
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- Pages.615-626
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- 2010
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
DOI QR Code
A PRIORI $L^2$ -ERROR ESTIMATES OF THE CRANK-NICOLSON DISCONTINUOUS GALERKIN APPROXIMATIONS FOR NONLINEAR PARABOLIC EQUATIONS
- Ahn, Min-Jung (DEPARTMENT OF MATHEMATICS KYUNGSUNG UNIVERSITY) ;
- Lee, Min-A (DEPARTMENT OF MATHEMATICS DONGSEO UNIVERSITY)
- Received : 2010.03.16
- Accepted : 2010.11.01
- Published : 2010.11.30
Abstract
In this paper, we analyze discontinuous Galerkin methods with penalty terms, namly symmetric interior penalty Galerkin methods, to solve nonlinear parabolic equations. We construct finite element spaces on which we develop fully discrete approximations using extrapolated Crank-Nicolson method. We adopt an appropriate elliptic-type projection, which leads to optimal
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