The closed form reproducing polynomial particle shape functions for meshfree particle methods
✍ Scribed by Hae-Soo Oh; June G. Kim; Jaewoo Jeong
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 918 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
✦ Synopsis
It has been known that reproducing kernel particle (RKP) shape functions with Kronecker delta property are not available in simple forms. Thus, in this paper, we construct highly regular piecewise polynomial reproducing polynomial particle (RPP) shape functions that satisfy the Kronecker delta property. Like RKP shape functions, the RPP shape functions reproduce the complete polynomials of degree k for an integer k P 0. Moreover, the particles associated with these RPP shape functions are either uniformly distributed in ðÀ1; 1Þ or non-uniformly distributed in ½0; 1Þ (or in a compact set [a, b]).