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Kriging-based Finite Element Method: Element-by-element Kriging Interpolation

Tjong, Wong Foek and Kanok-Nukulchai, Worsak (2008) Kriging-based Finite Element Method: Element-by-element Kriging Interpolation. Civil Engineering Dimension, 11 (1). pp. 15-22. ISSN 1410-9530

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    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.

    Item Type: Article
    Uncontrolled Keywords: finite element function fitting kriging
    Subjects: Q Science > QA Mathematics
    T Technology > TA Engineering (General). Civil engineering (General)
    Divisions: Faculty of Civil Engineering and Planning > Civil Engineering Department
    Depositing User: Admin
    Date Deposited: 04 Feb 2015 00:40
    Last Modified: 22 Jul 2019 06:03
    URI: http://repository.petra.ac.id/id/eprint/16910

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