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We consider a fully practical nite element approximation of an Allen-Cahn/Cahn-Hilliard system with a degenerate mobility and a logarithmic free energy. This system arises in the modelling of phase separation and ordering in binary alloys. In addition to showing well-posedness and stability bounds for our approximation, w e p r o ve convergence in one space dimension. Finally some numerical experiments are presented. Key words. degenerate second/fourth order parabolic equations, degeneratedoi:10.1137/s0036142900382144 fatcat:nn5oep335ndf7pz736z2shemam