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A mass-conservative characteristic finite element scheme for convection-diffusion problems. (English) Zbl 1203.65187
Summary: We develop a mass-conservative characteristic finite element scheme for convection diffusion problems. This scheme preserves the mass balance identity. It is proved that the scheme is essentially unconditionally stable and convergent with first order in time increment and $k$-th order in element size when the ${P}_{k}$ element is employed. Some numerical examples are presented to show the efficiency of the present scheme.
##### MSC:
 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (IVP of PDE) 65M25 Method of characteristics (IVP of PDE, numerical methods) 76M10 Finite element methods (fluid mechanics)
##### References:
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