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

F. T. Wong (Department of Civil Engineering, Petra Christian University, Surabaya)
W. Kanok-Nukulchai (School of Engineering and Technology, Asian Institute of Technology, Pathumthani)

Civil Engineering Dimension
Vol. 11 No. 1 (2009): MARCH 2009

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.