Coupling flat-top partition of unity method and finite element method

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We present a novel technique of coupling finite element method with mesh-based flat-top partition of unity method. The proposed coupling method allows us to bind any order of finite elements with flat-top partition of unity method. To verify the coupling, we test the coupling method on one- and two-dimensional boundary value problems including linear elasticity problem on a cracked domain. The coupled formulation provides a platform for stable enrichments to obtain highly accurate solution especially in the enrichment area.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2013-05
Language
English
Article Type
Article
Keywords

MESHFREE PARTICLE METHODS; FREE GALERKIN METHODS; SHAPE FUNCTIONS; COHESIVE CRACKS; SINGULARITIES; ENRICHMENT

Citation

FINITE ELEMENTS IN ANALYSIS AND DESIGN, v.67, pp.43 - 55

ISSN
0168-874X
DOI
10.1016/j.finel.2012.12.002
URI
http://hdl.handle.net/10203/255024
Appears in Collection
ME-Journal Papers(저널논문)
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