Publication

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

Assyr Abdulle, Gilles Vilmart
2011
Journal Articles

Abstract

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.

Official source

https://infoscience.epfl.ch/entities/publication/81fdf991-f9d2-4a24-8665-7e4731de3a96

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

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