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We formulate a stabilized quasi-optimal Petrov-Galerkin method for singularlyperturbed convection-diffusion problems based on the variational multiscalemethod. The stabilization is of Petrov-Galerkin type with a standard finiteelement trial space and a problem-dependent test space based on pre-computedfine-scale correctors. The exponential decay of these correctors and theirlocalisation to local patch problems, which depend on the direction of thevelocity field and the singular perturbation parameter, is rigorouslyjustified. Under moderate assumptions, this stabilization guarantees stabilityand quasi-optimal rate of convergence for arbitrary mesh P\'eclet numbers onfairly coarse meshes at the cost of additional inter-element communication.

Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d