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F. T. Wong
Department of Civil Engineering, Petra Christian University, Surabaya
Civil Engineering, Building, Construction & Architecture

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Journal : Civil Engineering Dimension

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Kriging-Based Finite Element Method: Element-By-Element Kriging Interpolation F. T. Wong; W. Kanok-Nukulchai
Civil Engineering Dimension Vol. 11 No. 1 (2009): MARCH 2009
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (287.192 KB) | DOI: 10.9744/ced.11.1.pp. 15-22

Abstract

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.
Co-Authors W. Kanok-Nukulchai