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A method for calculating meshless finite difference weights
Citation
Roberts, JL, A method for calculating meshless finite difference weights, International Journal for Numerical Methods in Engineering, 74, (2) pp. 321-336. ISSN 0029-5981 (2008) [Refereed Article]
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Copyright Statement
The definitive published version is available online at: http://interscience.wiley.com
Official URL: http://www.interscience.wiley.com
DOI: doi:10.1002/nme.2169
Abstract
An exact method for calculating the finite difference weights for arbitrary distributed points in multiple dimensions is presented. The method avoids the numerical ill conditioning associated with a small-scale factor () by delaying the limiting of 0. The Gaussian Radial Basis function is approximated by a Taylor's series expansion in the variable , and the resultant matrix equation is solved using the Fraction Free LU decomposition method.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | finite difference, meshless, differential quadrature |
| Research Division: | Mathematical Sciences |
| Research Group: | Numerical and Computational Mathematics |
| Research Field: | Numerical and Computational Mathematics not elsewhere classified |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding Knowledge |
| Objective Field: | Expanding Knowledge in Engineering |
| UTAS Author: | Roberts, JL (Dr Jason Roberts) |
| ID Code: | 56017 |
| Year Published: | 2008 |
| Web of Science® Times Cited: | 1 |
| Deposited By: | Mathematics |
| Deposited On: | 2009-03-20 |
| Last Modified: | 2015-01-26 |
| Downloads: | 1 View Download Statistics |
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