Flux correction tools for finite elements

  title={Flux correction tools for finite elements},
  author={Dmitri Kuzmin and Stefan Turek},
Peculiarities of flux correction in the finite element context are investigated. Criteria for positivity of the numerical solution are formulated, and the low-order transport operator is constructed from the discrete high-order operator by adding modulated dissipation so as to eliminate negative off-diagonal entries. The corresponding antidiffusive terms can be decomposed into a sum of genuine fluxes (rather than element contributions) which represent bilateral mass exchange between individual… CONTINUE READING
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