Analysis of the implicit upwind finite volume scheme with rough coefficients
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/article/10.1007/s00211-017-0935-1/fulltext.html
Reference25 articles.
1. Aguillon, N., Boyer, F.: Error estimate for the upwind scheme for the linear transport equation with boundary data. Ima J. Numer. Anal. (2017). https://doi.org/10.1093/imanum/drw078
2. Ambrosio, L.: Transport equation and Cauchy problem for $$BV$$ B V vector fields. Invent. Math. 158(2), 227–260 (2004)
3. Ambrosio, L., Colombo, M., Figalli, A.: Existence and uniqueness of maximal regular flows for non-smooth vector fields. Arch. Ration. Mech. Anal. 218(2), 1043–1081 (2015)
4. Boyer, F.: Analysis of the upwind finite volume method for general initial- and boundary-value transport problems. IMA J. Numer. Anal. 32(4), 1404–1439 (2012)
5. Brenier, Y., Otto, F., Seis, C.: Upper bounds on coarsening rates in demixing binary viscous liquids. SIAM J. Math. Anal. 43(1), 114–134 (2011)
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