Kriging-based Finite Element Method: Element-by-element Kriging Interpolation
| Main Authors: | Tjong, Wong Foek, Kanok-Nukulchai, Worsak |
|---|---|
| Format: | Article PeerReviewed application/pdf |
| Terbitan: |
, 2008
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| Subjects: | |
| Online Access: |
https://repository.petra.ac.id/16910/1/Publikasi1_00034_1850.pdf http://puslit2.petra.ac.id/ejournal/index.php/civ/article/view/17026/16994 https://repository.petra.ac.id/16910/ |
Daftar Isi:
- An enhancement of the finite element method with Kriging shape functions (K-FEM) was recently proposed. In this method, the field variables of a boundary value problem are approximated using element-by-element piecewise Kriging interpolation (el-KI). For each element, the interpolation function is constructed from a set of nodes within a prescribed domain of influence comprising the element and its several layers of neighbouring elements. This paper presents a numerical study on the accuracy and convergence of the el-KI in function fitting problems. Several examples of functions in two-dimensional space are employed in this study. The results show that very accurate function fittings and excellent convergence can be attained by the el-KI.