Abstract
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.
Citation
Vitoriano Ruas. Antonio Brasil Jr.. Paulo Trales. "An Explicit Method for Convection-Diffusion Equations." Japan J. Indust. Appl. Math. 26 (1) 65 - 91, February 2009.
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