Ortiz, M. (1985) A variational formulation for convection-diffusion problems. International Journal of Engineering Science, 23 (7). pp. 717-731. ISSN 0020-7225. https://resolver.caltech.edu/CaltechAUTHORS:20180105-152010629
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Abstract
A variational principle is proposed that under certain restrictions is shown to be equivalent to the advection-diffusion boundary value problem. Based on this variational principle, an upwind finite element method is derived that precludes spurious oscillations while possessing optimal convergence properties even in the multidimensional case. The formulation also points to a canonical choice of weighting functions for the Petrov-Galerkin method proposed by the Dundee and Swansea groups.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1985 Elsevier. (Received 31 March 1984) | |||||||||
| Group: | GALCIT | |||||||||
| Issue or Number: | 7 | |||||||||
| Record Number: | CaltechAUTHORS:20180105-152010629 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180105-152010629 | |||||||||
| Official Citation: | M. Ortiz, A variational formulation for convection-diffusion problems, In International Journal of Engineering Science, Volume 23, Issue 7, 1985, Pages 717-731, ISSN 0020-7225, https://doi.org/10.1016/0020-7225(85)90004-7. (http://www.sciencedirect.com/science/article/pii/0020722585900047) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 84147 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Lydia Suarez | |||||||||
| Deposited On: | 08 Jan 2018 20:59 | |||||||||
| Last Modified: | 24 Feb 2020 10:30 |
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