A reproducing kernel particle method with built-in multiresolution features in a very attractive meshfree method for numerical solution of partial di!erential equations. The design and implementation of a Galerkin-based reproducing kernel particle method, however, faces several challenges such as th
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Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation
โ Scribed by N. R. Aluru; Gang Li
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 507 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.124
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A subdomain collocation reproducing kernel approximation method is proposed. Subdomains are constructed by nonoverlapping Voronoi cells and a local weak form is defined over these subdomains. The standard RKPM shape functions are used directly for approximation, while weighting functions of the subd