Two-Dimensional Elements

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 5 in An Introduction to Linear and Nonlinear Finite Element Analysis, 2004, pp 89-106 from Springer

Abstract: Abstract To solve two-dimensional boundary value problems in a domain Ω ⊂ R2, we partition the domain Ω into N disjoint Simplexes, such as triangles, rectangles and quadrilaterals. A typical simplex is denoted by Ω(e) where e - 1,… N. In this chapter we will present interpolation shape functions for the linear triangular and bilinear rectangular elements.

Keywords: Shape Function; Triangular Element; Global Shape; Rectangular Element; Linear Shape Function (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_5

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DOI: 10.1007/978-0-8176-8160-9_5

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