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Enrichment and coupling of the finite element and meshless methods
Author(s) -
Huerta Antonio,
FernándezMéndez Sonia
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/1097-0207(20000820)48:11<1615::aid-nme883>3.0.co;2-s
Subject(s) - finite element method , regularized meshless method , convergence (economics) , consistency (knowledge bases) , meshfree methods , coupling (piping) , mathematics , mixed finite element method , computer science , smoothed finite element method , polygon mesh , mathematical optimization , boundary knot method , geometry , structural engineering , singular boundary method , engineering , mechanical engineering , boundary element method , economics , economic growth
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.