A stable finite element scheme for advection dominated problems is presented. The method is based on a classical piecewise linear continuous approximation of the solution and is proved to verify the discrete maximum principle whenever the triangulation is of weakly acute type. Several numerical tests confirm robustness of the method.
Brezzi, F., Marini, D., Pietra, P., Russo, A. (1996). A monotonic scheme for advection-diffusion problems. TRANSPORT THEORY AND STATISTICAL PHYSICS, 25(3), 463-475.
A monotonic scheme for advection-diffusion problems
RUSSO, ALESSANDRO
1996
Abstract
A stable finite element scheme for advection dominated problems is presented. The method is based on a classical piecewise linear continuous approximation of the solution and is proved to verify the discrete maximum principle whenever the triangulation is of weakly acute type. Several numerical tests confirm robustness of the method.File in questo prodotto:
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