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We calculate the mean link in Landau gauge for Wilson and improved SU(3)anisotropic gauge actions, using two loop perturbation theory and Monte Carlosimulation employing an accelerated Langevin algorithm. Twisted boundaryconditions are employed, with a twist in all four lattice directionsconsiderably improving the (Fourier accelerated) convergence to an improvedlattice Landau gauge. Two loop perturbation theory is seen to predict the meanlink extremely well even into the region of commonly simulated gauge couplingsand so can be used remove the need for numerical tuning of self-consistenttadpole improvement factors. A three loop perturbative coefficient is inferredfrom the simulations and is found to be small. We show that finite size effectsare small and argue likewise for (lattice) Gribov copies and double Diracsheets.Comment: 13 pages of revtex

Perturbation theory versus simulation for tadpole improvement factors in pure gauge theories