Time accurate consistently stabilized mesh-free methods for convection dominated problems

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Document typeArticle
Date issued2003-01
PublisherWiley and Sons
Rights accessOpen Access
Abstract
The behaviour of high-order time stepping methods combined with mesh-free methods is studied for the transient convection-diffusion equation. Particle methods, such as the element-free Galerkin (EFG) method, allow to easily increase the order of consistency and, thus, to formulate high-order schemes in space and time. Moreover, second derivatives of the EFG shape functions can be constructed with a low extra cost and are well defined, even for linear interpolation. Thus, consistent stabilization schemes can be considered without loss in the convergence rates.
Description
This is the pre-peer reviewed version of the following article: Huerta, A.; Fernandez, S. Time accurate consistently stabilized mesh-free methods for convection dominated problems. "International journal for numerical methods in engineering", Gener 2003, vol. 56, núm. 9, p. 1225-1242, which has been published in final form at http://www3.interscience.wiley.com/journal/102522343/abstract
CitationHuerta, A.; Fernandez, S. Time accurate consistently stabilized mesh-free methods for convection dominated problems. "International journal for numerical methods in engineering", Gener 2003, vol. 56, núm. 9, p. 1225-1242.
ISSN0029-5981
Publisher versionhttp://www3.interscience.wiley.com/journal/102522343/abstract
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