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Finite Element Analysis of the Ramberg-Osgood Bar
Department of Mathematics, University of New Orleans, New Orleans, USA
Texas A & M University-Qatar, Doha, Qatar
- 1 Department of Mathematics, University of New Orleans, New Orleans, USA
- 2 Texas A & M University-Qatar, Doha, Qatar
American Journal of Computational Mathematics·Volume 03 (2013)·Pages 211–216·Published 14 August 2013·DOI10.4236/ajcm.2013.33030
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Abstract
In this work, we present a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood bar. The existence and uniqueness of the solution to the associated nonlinear two point boundary value problem is established and used as a foundation for the finite element analysis.
KeywordsNonlinear Two Point Boundary Value ProblemRamberg-Osgood Axial BarExistence and Uniqueness of SolutionsFinite Element AnalysisConvergence and a Priori Error Estimates
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