Abstract
In this paper, we consider a nonconforming finite element method for the nonlinear parabolic equations which has the superiority in computation compared with the conforming ones. The convergence analysis is discussed by making use of the particular characteristics of the finite element and the interpolation theorem, without recurring to the Ritz projection technique which can be explained as the main way of dealing with the convergence analysis for nonlinear parabolic equations. The optimal error estimates in L 2(Ω) and \(L^{2}(|\cdot|_{1,h})\) are obtained, where |·|1,h is a norm on the discrete space.
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