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High Order Shape Functions for Finite Element Analysis
Published
Author(s)
Frederick R. Phelan Jr.
Abstract
A formalism for high-order shape functions used in finite element analysis is developed. The formalism allows the shape functions to be conveniently expressed in terms of their polynomial order p, and their derivative level k. The formalism is verified by numerical tests and solution to the 1-D advection equation.
Citation
Numerical Solution of Partial Differential Equations
Pub Type
Journals
Keywords
advection equation, finite element method, high order finite element method
Citation
Phelan Jr., F.
(2008),
High Order Shape Functions for Finite Element Analysis, Numerical Solution of Partial Differential Equations
(Accessed December 13, 2024)