One-Dimensional Shape Functions

Prem K. Kythe and Dongming Wei
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Prem K. Kythe: University of New Orleans, Department of Mathematics
Dongming Wei: University of New Orleans, Department of Mathematics

Chapter 2 in An Introduction to Linear and Nonlinear Finite Element Analysis, 2004, pp 25-36 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8160-9_2

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DOI: 10.1007/978-0-8176-8160-9_2

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