A superconvergent method for approximating the bending moment of elastic beams with hysteresis damping Original Research Article

In this paper we introduce a method for finding improved approximations to second derivatives of solutions to certain initial-boundary value problems related to elastic beam models. These approximations are based on post-processing finite element solutions of the integro–partial-differential equation involved. Illustrative numerical examples for this method and its applications to an inverse problem of such models are provided.