Kriging-Based Finite Element Method: Element-By-Element Kriging Interpolation
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https://doi.org/10.9744/ced.11.1.pp.%2015-22Keywords:
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.Downloads
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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