Academic Journals Database
Disseminating quality controlled scientific knowledge

Kriging-Based Finite Element Method: Element-By-Element Kriging Interpolation

Author(s): F. T. Wong | W. Kanok-Nukulchai

Journal: Civil Engineering Dimension
ISSN 1410-9530

Volume: 11;
Issue: 1;
Start page: 15;
Date: 2009;
Original page

Keywords: finite element | Kriging | function fitting.

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.
Perfect English Grammar