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

Authors
Lin, T Russell, DL
Citation
T. Lin et Dl. Russell, A superconvergent method for approximating the bending moment of elastic beams with hysteresis damping, APPL NUM M, 38(1-2), 2001, pp. 145-165
Citations number
46
Categorie Soggetti
Mathematics
Journal title
APPLIED NUMERICAL MATHEMATICS
ISSN journal
01689274 → ACNP
Volume
38
Issue
1-2
Year of publication
2001
Pages
145 - 165
Database
ISI
SICI code
0168-9274(200107)38:1-2<145:ASMFAT>2.0.ZU;2-T
Abstract
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-proc essing finite element solutions of the integro-partial-differential equatio n involved. Illustrative numerical examples for this method and its applica tions to an inverse problem of such models are provided. (C) 2001 IMACS. Pu blished by Elsevier Science B.V. All rights reserved.