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One-Dimensional Shape Functions

  • Prem K. Kythe
  • Dongming Wei

Abstract

The Galerkin finite element method requires the use of the test functions w in polynomial form. We will first define the local and global linear and quadratic Lagrange and Hermite interpolation shape functions. These interpolation shape functions are used in the next two chapters to solve one-dimensional steady-state second-order and fourth-order boundary value problems by finite element methods.

Keywords

Shape Function Interpolation Function Nonlinear Finite Element Analysis Galerkin Finite Element Method Parametric Coordinate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Prem K. Kythe
    • 1
  • Dongming Wei
    • 1
  1. 1.Department of MathematicsUniversity of New OrleansNew OrleansUSA

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