Numerical Solution of Inverse Problems of Thermoelasticity for a Composite Cylinder

Abstract

The thermoelastic state of a composite cylinder is analyzed. Classical generalized problems defined on classes of discontinuous functions are presented. Explicit expressions are obtained for residual gradients (using the solution of direct and adjoint problems) for the implementation of Alifanov's gradient methods; functions of the finite element method are used to construct highly accurate computation schemes for the numerical discretization of direct and adjoint problems.