An Explicit Method for Convection-Diffusion Equations
Ruas, Vitoriano ; Brasil Jr., Antonio ; Trales, Paulo
Japan J. Indust. Appl. Math., Tome 26 (2009) no. 1, p. 65-91 / Harvested from Project Euclid
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An explicit scheme for time-dependent convection-diffusion problems is presented. It is shown that convenient bounds for the time step value ensure $L^{\infty}$ stability, in both space and time, for piecewise linear finite element discretizations in any space dimension. Convergence results in the same sense are also demonstrated under certain conditions. Numerical results certify the good performance of the scheme.
Publié le : 2009-02-15
Classification:  convection,  diffusion,  explicit,  finite elements,  Péclet number,  stable,  time-dependent 
@article{1244209206,
     author = {Ruas, Vitoriano and Brasil Jr., Antonio and Trales, Paulo},
     title = {An Explicit Method for Convection-Diffusion Equations},
     journal = {Japan J. Indust. Appl. Math.},
     volume = {26},
     number = {1},
     year = {2009},
     pages = { 65-91},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1244209206}
}

Ruas, Vitoriano; Brasil Jr., Antonio; Trales, Paulo. An Explicit Method for Convection-Diffusion Equations. Japan J. Indust. Appl. Math., Tome 26 (2009) no. 1, pp.  65-91. http://gdmltest.u-ga.fr/item/1244209206/