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Title:
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Time accurate consistently stabilized mesh-free methods for convection dominated problems
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Author:
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Huerta, Antonio; Fernández Méndez, Sonia
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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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 |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
-Finite element method--Mathematics
-Meshless
-Mesh-free
-Finite elements
-Convection-diffusion
-Transient
-Least-squares
-Stream-line-upwind Petrov-Galerkin
-Elements finits, Mètode dels -- Anàlisi numèrica |
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Rights:
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Document type:
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Article - Submitted version
Article |
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Published by:
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Wiley and Sons
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