The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods

A finite element method with numerical quadrature is considered for the solution of a class of second-order quasilinear elliptic problems of nonmonotone type. Optimal a priori error estimates for the H-1 and the L-2 norms are derived. The uniqueness of the finite element solution is established for a sufficiently fine mesh. Our results permit the analysis of numerical homogenization methods. (C) 2011 Published by Elsevier Masson SAS on behalf of Academie des sciences.


Published in:
Comptes Rendus Mathématique, (Académie des Sciences), 349, 1041-1046
Year:
2011
Publisher:
Elsevier
Laboratories:




 Record created 2011-12-16, last modified 2018-01-28


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