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Subgrid stabilization by viscosity of Galerkin approximations of monotone linear operators. (Stabilisation par viscosité de sous-maille pour l’approximation de Galerkin des opérateurs linéaires monotones.) (French. Abridged English version) Zbl 0933.65058
Summary: This paper presents a stabilized Galerkin technique for approximating monotone linear operators in Hilbert spaces. The key idea consists in introducing 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 approximation is obtained by introducing an artificial diffusion on the subgrid scales.

MSC:
65J10 Numerical solutions to equations with linear operators (do not use 65Fxx)
47A50 Equations and inequalities involving linear operators, with vector unknowns
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