Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.finel.2008.02.002
Title: A residual based error estimator using radial basis functions
Authors: Kee, B.B.T.
Liu, G.R. 
Zhang, G.Y. 
Lu, C.
Keywords: Adaptive
Error estimator
Finite element method
Meshfree method
Radial basis functions
Residual
Issue Date: Jun-2008
Source: Kee, B.B.T., Liu, G.R., Zhang, G.Y., Lu, C. (2008-06). A residual based error estimator using radial basis functions. Finite Elements in Analysis and Design 44 (9-10) : 631-645. ScholarBank@NUS Repository. https://doi.org/10.1016/j.finel.2008.02.002
Abstract: In this paper, a novel residual based error estimator using radial basis functions (RBFs) is proposed. The error estimator evaluates the residual in the strong-form governing equation in the local domain through direct integration. Due to the higher order continuous feature of the RBFs, the higher derivatives of the field function in the strong-form governing equation can be obtained using RBFs. The numerical examples show that the new residual based error estimator is simple, versatile robust and yet effective in the adaptive analyses. It is not only suitable for adaptive analysis that uses numerical method formulated based on mesh, e.g. finite element method, but also meshfree methods where the conventional residual based and recovery based error estimator cannot be used. Furthermore the present error estimator is also feasible for numerical method that is formulated based on both strong and weak formulation in the adaptive analyses. © 2008 Elsevier B.V. All rights reserved.
Source Title: Finite Elements in Analysis and Design
URI: http://scholarbank.nus.edu.sg/handle/10635/51312
ISSN: 0168874X
DOI: 10.1016/j.finel.2008.02.002
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