Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities

Authors:
Dongho Kim;Eun-Jae Park
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2006

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Abstract

We study the primal mixed finite-element approximation of the second-order elliptic problem with gradient nonlinearities. Existence and uniqueness of the approximate solution are proved and optimal-order a priori error estimates are obtained. Also, reliable a posteriori error estimators are derived.