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On finite element method–flux corrected transport stabilization for advection–diffusion problems in a partial differential–algebraic framework
2014
Journal of Computational and Applied Mathematics
An extension of the finite element method-flux corrected transport stabilization (FEM-FCT) for hyperbolic problems in the context of partial differentialalgebraic equations (PDAEs) is proposed. Given a local extremum diminishing property of the spatial discretization, the positivity preservation of the one-step θ−scheme when applied to the time integration of the resulting differentialalgebraic equation (DAE) is shown, under a mild restriction on the time stepsize. As crucial tool in the
doi:10.1016/j.cam.2013.09.070
fatcat:u2blj7m6jzch7ixohqi6qgiyte