Article citationsMore>>

S. C. Brenner and L. R. Scott, “The Mathematical Theory of Finite Element Methods, Texts in Applied Mathematics, v. 15,” 3rd Edition, Springer Verlag, New York, 2008. doi:10.1007/978-0-387-75934-0

has been cited by the following article:

• TITLE: Finite Element Analysis of the Ramberg-Osgood Bar

  AUTHORS: Dongming Wei, Mohamed B. M. Elgindi

  KEYWORDS: Nonlinear Two Point Boundary Value Problem; Ramberg-Osgood Axial Bar; Existence and Uniqueness of Solutions; Finite Element Analysis; Convergence and a Priori Error Estimates

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.3, August 20, 2013

  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.