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A General 2D Meshless Interpolating Boundary Node Method Based on the Parameter Space
Joint Authors
Chen, Xuyong
Yang, Hongyin
Lu, Hailin
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-13
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The presented study proposed an improved interpolating boundary node method (IIBNM) for 2D potential problems.
The improved interpolating moving least-square (IIMLS) method was applied to construct the shape functions, of which the delta function properties and boundary conditions were directly implemented.
In addition, any weight function used in the moving least-square (MLS) method was also applicable in the IIMLS method.
Boundary cells were required in the computation of the boundary integrals, and additional discretization error was not avoided if traditional cells were used to approximate the geometry.
The present study applied the parametric cells created in the parameter space to preserve the exact geometry, and the geometry was maintained due to the number of cells.
Only the number of nodes on the boundary was required as additional information for boundary node construction.
Most importantly, the IIMLS method can be applied in the parameter space to construct shape functions without the requirement of additional computations for the curve length.
American Psychological Association (APA)
Yang, Hongyin& Lu, Hailin& Chen, Xuyong. 2017. A General 2D Meshless Interpolating Boundary Node Method Based on the Parameter Space. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1190157
Modern Language Association (MLA)
Yang, Hongyin…[et al.]. A General 2D Meshless Interpolating Boundary Node Method Based on the Parameter Space. Mathematical Problems in Engineering No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1190157
American Medical Association (AMA)
Yang, Hongyin& Lu, Hailin& Chen, Xuyong. A General 2D Meshless Interpolating Boundary Node Method Based on the Parameter Space. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1190157
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190157