Enrichment and coupling of the finite element and meshless methods

A mixed hierarchical approximation based on finite elements and meshless methods is presented. Two cases are considered. The first one couples regions where finite elements or meshless methods are used to interpolate: continuity and consistency is preserved. The second one enriches a finite element...

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Bibliographic Details
Published in:International journal for numerical methods in engineering Vol. 48; no. 11; pp. 1615 - 1636
Main Authors: Huerta, Antonio, Fernández-Méndez, Sonia
Format: Journal Article Publication
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 20.08.2000
Wiley and Sons
Wiley
Subjects:
Adaptivity
Anàlisi numèrica
Convergence
Elements finits, Mètode dels
Engineering Sciences
Finite element method
h-p refinement
Matemàtiques i estadística
Mechanics
Meshless method
Mixed interpolation
Mètodes en elements finits
Àrees temàtiques de la UPC
meshless method
h-p refinement
adaptivity
finite element method
mixed interpolation
convergence
ISSN:0029-5981, 1097-0207
Online Access:Get full text
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Summary:A mixed hierarchical approximation based on finite elements and meshless methods is presented. Two cases are considered. The first one couples regions where finite elements or meshless methods are used to interpolate: continuity and consistency is preserved. The second one enriches a finite element mesh with particles. Thus, there is no need to remesh in adaptive refinement processes. In both cases the same formulation is used, convergence is studied and examples are shown. Copyright © 2000 John Wiley & Sons, Ltd.
Bibliography:ArticleID:NME883
istex:E0DD81E79683F4EB8E8957F196265777DBF20327
ark:/67375/WNG-MHLSFH5R-T
Ministerio de Educación y Cultura - No. TAP98-0421
ISSN:0029-5981
1097-0207
DOI:10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S