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Multidimensional FEM-FCT schemes for arbitrary time stepping
2003
International Journal for Numerical Methods in Fluids
The flux-corrected-transport paradigm is generalized to finite element schemes based on arbitrary time-stepping. A conservative flux decomposition procedure is proposed for both convective and diffusive terms. Mathematical properties of positivity-preserving schemes are reviewed. A nonoscillatory low-order method is constructed by elimination of negative off-diagonal entries of the discrete transport operator. The linearization of source terms and extension to hyperbolic systems are discussed.
doi:10.1002/fld.493
fatcat:bext45itgrboxboa74f4coqm4a