The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems
Open accessAbstract
Abstract The concept of the so-called ‘artificial or balancing diffusion’ used to stabilize the numerical solution of advective-diffusive transport and fluid flow problems is revised in this paper. It is shown that the standard forms of the balancing diffusion terms, usually chosen in a heuristic manner, can be naturally found by introducing higher-order approximations in the derivation of the governing differential equations via standard conservation (or equilibrium) principles. This allows us to reinterpret many stabilization algorithms and concepts used in every-day practice by numerical analysts and also provides an expression for computing the stabilization parameter.
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Cites
Hughes, T. J. R., Franca, L. P., & Hulbert, G. M. (1989) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(89)90111-4 · Cited by 1,458
Cited by
THE PARTICLE FINITE ELEMENT METHOD — AN OVERVIEW
OÑATE, E., IDELSOHN, S. R., DEL PIN, F., & AUBRY, R. (2004) · International Journal of Computational Methods · doi:10.1142/s0219876204000204 · Cited by 538
Self-citationOñate, E., & Rojek, J. (2004) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2003.12.056 · Cited by 289
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Metadata
- Authors
- Oñate, E.
- Venue
- Computer Methods in Applied Mechanics and Engineering
- Publisher
- Elsevier BV
- Published
- 1998-01
- Volume
- 151
- Issue
- 1-2
- Pages
- 233-265
- ISSN
- 0045-7825 (ISSN-L)
- OpenAlex
- W2047441604
- Cited by
- 239
- References
- 1
- FWCI
- 8.40
- Type
- journal article
- Language
- en
- Open access
- green
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- Oñate, E. (1998). Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/s0045-7825(97)00119-9
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