Subgrid stabilization of Galerkin approximations of monotone operators

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. Acadmie des Sciences/Elsevier, Paris.

Subgrid stabilization of Galerkin approximations of monotone operators Academic Article