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A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time-dependent multidimensional advective-diffusive systems
Open accessAbstract
An SUPG-type finite element method for linear symmetric multidimensional advective-diffusive systems is described and analyzed. Optimal and near optimal error estimates are obtained for the complete range of advective-diffusive behavior.
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Cited by
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
Self-citationStabilized Finite Element Formulations for Incompressible Flow Computations
Tezduyar, T. E. (1991) · Advances in Applied Mechanics · doi:10.1016/s0065-2156(08)70153-4 · Cited by 913
Engel, G., Garikipati, K., Hughes, T. J. R., Larson, M. G., Mazzei, L., & Taylor, R. L. (2002) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/s0045-7825(02)00286-4 · Cited by 477
Self-citationFinite element methods for flow problems with moving boundaries and interfaces
Tezduyar, T. E. (2001) · Archives of Computational Methods in Engineering · doi:10.1007/bf02897870 · Cited by 386
Metadata
- Authors
- Hughes, T. J. R., Franca, L. P., & Mallet, M.
- Venue
- Computer Methods in Applied Mechanics and Engineering
- Publisher
- Elsevier BV
- Published
- 1987-07
- Volume
- 63
- Issue
- 1
- Pages
- 97-112
- ISSN
- 0045-7825 (ISSN-L)
- OpenAlex
- W2042321858
- Cited by
- 240
- References
- 0
- FWCI
- 7.00
- Type
- journal article
- Language
- en
- Open access
- hybrid
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- CoChat. (2026). Citation check: A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time-dependent multidimensional advective-diffusive systems. https://app.cochat.ai/papers/10.1016/0045-7825(87)90125-3
- The paper
- Hughes, T. J. R., Franca, L. P., & Mallet, M. (1987). A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time-dependent multidimensional advective-diffusive systems. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/0045-7825(87)90125-3
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
