A Note on the Class of Weakly Coupled Problems of Non-Stationary Piezoelectricity

Melnik R.V.N. and Melnik, K.N.

Communications in Numerical Methods in Engineering, 14, 839--847, 1998

Abstract:

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 differential problem from $W_2^2(Q(T)$ with the second order of accuracy in a weaker than $L_2$ metric.