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

Authors

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

:

https://doi.org/10.9744/ced.11.1.pp.%2015-22

Keywords:

finite element, Kriging, function fitting.

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.

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Published

2009-03-16

How to Cite

Wong, F. T., & Kanok-Nukulchai, W. (2009). Kriging-Based Finite Element Method: Element-By-Element Kriging Interpolation. Civil Engineering Dimension, 11(1), pp. 15-22. https://doi.org/10.9744/ced.11.1.pp. 15-22

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Section

Articles