Subgrid stabilization of Galerkin approximations of monotone operators

This paper presents a stabilized Galerkin technique for approximating monot one linear operators in Hilbert spaces. The key idea consists in introducin g an approximation space that is broken up into resolved and subgrid scales so that the bilinear form associated with the problem satisfies a uniform inf-sup condition with respect To this decomposition An optimal Galerkin ap proximation is obtained by introducing an artificial diffusion on the subgr id scales. (C) Academie des Sciences/Elsevier, Paris.