An effective high order interpolation scheme in BIEMs for biharmonic boundary value problems

Mai-Duy, N. and Tanner, R. I. (2005) An effective high order interpolation scheme in BIEMs for biharmonic boundary value problems. Engineering Analysis with Boundary Elements, 29 (3). pp. 210-223. ISSN 0955-7997

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Abstract

This paper presents an effective high order boundary integral equation method (BIEM) for the solution of biharmonic equations. All boundary values including geometries are approximated by high order radial basis
function networks (RBFNs) rather than the conventional low order Lagrange interpolation schemes. For a better quality of approximation, the networks representing the boundary values and their derivatives are constructed by using integration processes. Prior conversions of network weights into nodal variable values are employed in order to form a square system of equations. Numerical results show that the proposed BIEM attains a great improvement in solution accuracy, convergence rate and computational efficiency over the linear- and quadratic-BIEMs.

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Item Type:	Article (Commonwealth Reporting Category C)
Refereed:	Yes
Item Status:	Live Archive
Additional Information:	Accepted version deposited in accordance with the copyright policy of the publisher (Elsever)
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Date Deposited:	29 Mar 2010 11:56
Last Modified:	02 Jul 2013 23:44
Uncontrolled Keywords:	indirect radial basis function networks; biharmonic equations; boundary integral equation methods
Fields of Research (2008):	01 Mathematical Sciences > 0101 Pure Mathematics > 010106 Lie Groups, Harmonic and Fourier Analysis 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Fields of Research (2020):	49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490406 Lie groups, harmonic and Fourier analysis 40 ENGINEERING > 4017 Mechanical engineering > 401706 Numerical modelling and mechanical characterisation
Socio-Economic Objectives (2008):	E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI:	https://doi.org/10.1016/j.enganabound.2005.01.005
URI:	http://eprints.usq.edu.au/id/eprint/7208

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