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Y. Efendiev, A. Pankov

Meyers type estimates for approximate solutions of nonlinear parabolic equations and their applications

Keywords: nonlinear equations, parabolic equations, finite elements

In this paper we obtain Meyers type L ^p+ε-estimates for approximate solutions of nonlinear parabolic equations. This research is motivated by a numerical homogenization of these type of equations [2]. Using derived estimates we show the convergence of numerical solutions obtained from numerical homogenization methods.

Journal of Numerical Mathematics, Walter de Gruyter

Print ISSN: 1570-2820
Volume: 13, 06/2005
Pages: 105 - 118

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