Artículos de revistas
Fully tensorial nodal and modal shape functions for triangles and tetrahedra
Registro en:
International Journal For Numerical Methods In Engineering. John Wiley & Sons Ltd, v. 63, n. 11, n. 1530, n. 1558, 2005.
0029-5981
WOS:000230507100002
10.1002/nme.1325
Autor
Bittencourt, ML
Institución
Resumen
This paper presents nodal and modal shape functions for triangle and tetrahedron finite elements. The functions are constructed based on the fully tensorial expansions of one-dimensional polynomials expressed in barycentric co-ordinates. The nodal functions obtained from the application of the tensorial procedure are the standard h-Lagrange shape functions presented in the literature. The modal shape functions use Jacobi polynomials and have a natural global C-0 inter-element continuity. An efficient Gauss-Jacobi numerical integration procedure is also presented to decrease the number of points for the consistent integration of the element matrices. An example illustrates the approximation properties of the modal functions. Copyright (c) 2005 John Wiley & Sons, Ltd. 63 11 1530 1558