Generalised Solutions, Discrete Models and Energy Estimates for a 2D Problem of Coupled Field Theory

Melnik, R.V.N.

Applied Mathematics and Computation, 107, 27--55, 2000


In this article the author constructs an effective difference scheme for the solution of coupled dynamic electroelasticity problems for finite-dimensional solids. Such a construction is based on the energy conservation law for the electromechanical system and the definition of generalised solutions for the corresponding differential problem. Results of computational experiments are presented for hollow piezoceramic cylinders in the two-dimensional case.