High Order Shape Functions for Finite Element Analysis
Frederick R. Phelan Jr.
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.
Numerical Solution of Partial Differential Equations
advection equation, finite element method, high order finite element method
Phelan Jr., F.
High Order Shape Functions for Finite Element Analysis, Numerical Solution of Partial Differential Equations
(Accessed May 30, 2023)