Convergence of the Operator-difference Scheme to Generalized Solutions of a Coupled Field Theory Problem
نویسنده
چکیده
In this paper the operator-diierence scheme for the numerical solution of a problem arising from coupled eld theory is thoroughly investigated for the case when the classical assumptions of suucient smoothness cannot be applied. Such a situation, being typical in many applications, is considered for the problem of nonstationary electroelasticity. A new a-priori estimation for the numerical solution of the problem has been obtained. A scale of accuracy results for generalized solutions of the problem has been derived, and the convergence theorem has been proved. Applications of the theory are considered and computational results are discussed.
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