Rvn. Melnik, Generalised solutions, discrete models and energy estimates for a 2D problem of coupled field theory, APPL MATH C, 107(1), 2000, pp. 27-55
In this article the author constructs an effective difference scheme for th
e solution of coupled dynamic electroelasticity problems for finite-dimensi
onal solids. Such a construction is based on the energy conservation law fo
r the electromechanical system and the definition of generalised solutions
for the corresponding differential problem. Results of computational experi
ments are presented for hollow piezoceramic cylinders in the two-dimensiona
l case. (C) 2000 Elsevier Science Inc. All rights reserved.