Hierarchic finite element bases on unstructured tetrahedral meshes

M. Ainsworth; J. Coyle

doi:10.1002/nme.847

Hierarchic finite element bases on unstructured tetrahedral meshes

M. Ainsworth, J. Coyle

Mathematics And Statistics

Research output: Contribution to journal › Article

103 Citations (Scopus)

17 Downloads (Pure)

Abstract

The problem of constructing hierarchic bases for finite element discretization of the spaces H1, H(curl), H(div) and L2 on tetrahedral elements is addressed. A simple and efficient approach to ensuring conformity of the approximations across element interfaces is described. Hierarchic bases of arbitrary polynomial order are presented. It is shown how these may be used to construct finite element approximations of arbitrary, non-uniform, local order approximation on unstructured meshes of curvilinear tetrahedral elements.

Original language	English
Pages (from-to)	2103-2130
Number of pages	27
Journal	International Journal for Numerical Methods in Engineering
Volume	58
Issue number	14
DOIs	https://doi.org/10.1002/nme.847
Publication status	Published - Dec 2003

Keywords

hierarchic finite element bases
finite element analysis
statistics
numerical engineering

Access to Document

10.1002/nme.847

strathprints000068Accepted author manuscript, 508 KB

Fingerprint Dive into the research topics of 'Hierarchic finite element bases on unstructured tetrahedral meshes'. Together they form a unique fingerprint.

Cite this

@article{0c9a7f9025f54a4390970df1b9a2e346,

title = "Hierarchic finite element bases on unstructured tetrahedral meshes",

abstract = "The problem of constructing hierarchic bases for finite element discretization of the spaces H1, H(curl), H(div) and L2 on tetrahedral elements is addressed. A simple and efficient approach to ensuring conformity of the approximations across element interfaces is described. Hierarchic bases of arbitrary polynomial order are presented. It is shown how these may be used to construct finite element approximations of arbitrary, non-uniform, local order approximation on unstructured meshes of curvilinear tetrahedral elements.",

keywords = "hierarchic finite element bases, finite element analysis, statistics, numerical engineering",

author = "M. Ainsworth and J. Coyle",

year = "2003",

month = dec,

doi = "10.1002/nme.847",

language = "English",

volume = "58",

pages = "2103--2130",

journal = "International Journal for Numerical Methods in Engineering",

issn = "0029-5981",

number = "14",

}

TY - JOUR

T1 - Hierarchic finite element bases on unstructured tetrahedral meshes

AU - Ainsworth, M.

AU - Coyle, J.

PY - 2003/12

Y1 - 2003/12

N2 - The problem of constructing hierarchic bases for finite element discretization of the spaces H1, H(curl), H(div) and L2 on tetrahedral elements is addressed. A simple and efficient approach to ensuring conformity of the approximations across element interfaces is described. Hierarchic bases of arbitrary polynomial order are presented. It is shown how these may be used to construct finite element approximations of arbitrary, non-uniform, local order approximation on unstructured meshes of curvilinear tetrahedral elements.

AB - The problem of constructing hierarchic bases for finite element discretization of the spaces H1, H(curl), H(div) and L2 on tetrahedral elements is addressed. A simple and efficient approach to ensuring conformity of the approximations across element interfaces is described. Hierarchic bases of arbitrary polynomial order are presented. It is shown how these may be used to construct finite element approximations of arbitrary, non-uniform, local order approximation on unstructured meshes of curvilinear tetrahedral elements.

KW - hierarchic finite element bases

KW - finite element analysis

KW - statistics

KW - numerical engineering

U2 - 10.1002/nme.847

DO - 10.1002/nme.847

M3 - Article

VL - 58

SP - 2103

EP - 2130

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

SN - 0029-5981

IS - 14

ER -