Kriging-Based Finite Element Method: Element-By-Element Kriging InterpolationAuthor(s): F. T. Wong | W. Kanok-Nukulchai
Journal: Civil Engineering Dimension ISSN 1410-9530
Volume: 11; Issue: 1; Start page: 15; Date: 2009;
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.