A STRAIGHTFORWARD STRUCTURE TO CONSTRUCT SHAPE FUNCTIONS FOR VARIABLEP-ORDER MESHES

Authors
SHEPHARD MS DEY S FLAHERTY JE
Citation
Ms. Shephard et al., A STRAIGHTFORWARD STRUCTURE TO CONSTRUCT SHAPE FUNCTIONS FOR VARIABLEP-ORDER MESHES, Computer methods in applied mechanics and engineering, 147(3-4), 1997, pp. 209-233
Citations number
32
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
147
Issue
3-4
Year of publication
1997
Pages
209 - 233
Database
ISI
SICI code
0045-7825(1997)147:3-4<209:ASSTCS>2.0.ZU;2-N
Abstract
This paper describes a method for specifying variable p-order meshes b ased on the topological hierarchy of mesh entities defining the finite elements. A decomposition of p-version mesh entity shape functions in to a product of a function defined over the mesh entity and a blending function defined over the elements that the mesh entity bounds is pre sented. The decomposed shape functions allow the effective constructio n of the shape functions and derivatives needed to construct element m atrices for variable p-enrichment.