Kriging-Based Finite Element Method: Element-By-Element Kriging Interpolation
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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Petra Christian University
2009-01-01
|
| Series: | Civil Engineering Dimension |
| Subjects: | |
| Online Access: | http://puslit2.petra.ac.id/ejournal/index.php/civ/article/view/17026 |
| Summary: | 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. |
|---|---|
| ISSN: | 1410-9530 1979-570X |