A posteriori error estimates and an adaptive scheme of least-squares meshfree method

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A posteriori error estimates and an adaptive refinement scheme of first-order least-squares meshfree method (LSMFM) are presented. The error indicators are readily computed from the residual. For an elliptic problem, the error indicators are further improved by applying the Aubin-Nitsche method. It is demonstrated, through numerical examples, that the error indicators coherently reflect the actual error. In the proposed refinement scheme, Voronoi cells are used for inserting new nodes at appropriate positions. Numerical examples show that the adaptive first-order LSMFM, which combines the proposed error indicators and nodal refinement scheme, is effectively applied to the localized problems such as the shock formation in fluid dynamics. Copyright (C) 2003 John Wiley Sons, Ltd.
Publisher
JOHN WILEY & SONS LTD
Issue Date
2003-10
Language
English
Article Type
Article
Keywords

SUPERCONVERGENT PATCH RECOVERY; KERNEL PARTICLE METHODS; FINITE-ELEMENT METHOD

Citation

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v.58, no.8, pp.1213 - 1250

ISSN
0029-5981
URI
http://hdl.handle.net/10203/84449
Appears in Collection
ME-Journal Papers(저널논문)
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