In this paper we deal with a model of coupled non-stationary electroelasticity with displacements and potential given on the boundary of a body. We construct a numerical scheme for modelling electromechanical interactions in the body, and present a spectrum of a priori estimates for the solution of this scheme. Such estimates allow us to prove the convergence of the scheme to a generalized solution of the dierential problem from W 2 2 Q T with the second order of accuracy in a weaker than L 2 metric. # 1998 John Wiley & Sons, Ltd.KEY WORDS coupled models of dynamic electroelasticity; generalized solutions; metrics weaker than L 2 ; spectrum of a priori estimates
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