On Difference Schemes for Coupled Dynamic Electroelasticity in Classes of Generalized Solutions
Modelling in Mechanics, 4 (21), No.6, 123-134, 1990
The convergence properties of a class of difference schemes for solving a coupled dynamic problem of electroelasticity in classes of generalized solutions have been analysed in detail. A scale of accuracy estimates has been derived depending on the regularity assumptions on the a priori unknown solution to the problem. These mathematically rigorous results cover most of the situations encounted in the applications of coupled dynamic electroelasticity, including linear problems of piezoelectricity.