The effect of numerical integration in nonmonotone nonlinear elliptic problems with application to numerical homogenization methods
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چکیده
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 and the L norms are derived. The uniqueness of the finite element solution is established for a sufficiently fine mesh. Application to numerical homogenization methods is considered.
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تاریخ انتشار 2012