Reproducing polynomial particle methods for boundary integral equations
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SCOPUS
- Title
- Reproducing polynomial particle methods for boundary integral equations
- Authors
- Oh, HS; Davis, C; Kim, JG; Kwon, Y
- Date Issued
- 2011-07
- Publisher
- SPRINGER
- Abstract
- Since meshless methods have been introduced to alleviate the difficulties arising in conventional finite element method, many papers on applications of meshless methods to boundary element method have been published. However, most of these papers use moving least squares approximation functions that have difficulties in prescribing essential boundary conditions. Recently, in order to strengthen the effectiveness of meshless methods, Oh et al. developed meshfree reproducing polynomial particle (RPP) shape functions, patchwise RPP and reproducing singularity particle (RSP) shape functions with use of flat-top partition of unity. All of these approximation functions satisfy the Kronecker delta property. In this paper, we report that meshfree RPP shape functions, patchwise RPP shape functions, and patchwise RSP shape functions effectively handle boundary integral equations with (or without) domain singularities.
- Keywords
- The closed form reproducing polynomial particle (RPP) shape functions; Reproducing kernel particle (RKP) shape functions; Boundary element method (BEM); FINITE-ELEMENT SOLUTIONS; SHAPE FUNCTIONS; POTENTIAL PROBLEMS; NODE METHOD; SINGULARITIES; PARTITION; UNITY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/17271
- DOI
- 10.1007/S00466-011-0581-X
- ISSN
- 0178-7675
- Article Type
- Article
- Citation
- COMPUTATIONAL MECHANICS, vol. 48, no. 1, page. 27 - 45, 2011-07
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- There are no files associated with this item.
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