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.
Articolo in rivista - Articolo scientifico
Dubble functions; Galerkin finite element method; upwinding; mass lumping; selective reduced integration
English
1996
25
3
463
475
none
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/18423
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