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Preconditioning the Pseudo-Laplacian for finite element simulation of incompressible flow

Universitätsbibliothek Chemnitz
Publication Date
  • Finite Numerical Methods
  • Pde
  • Bvp
  • Pseudo-Laplacian
  • Msc 65N30
  • Ddc:510


In this paper, we investigate the question of the spectrally equivalence of the so- called Pseudo-Laplacian to the usual discrete Laplacian in order to use hierarchical preconditioners for this more complicate matrix. The spectral equivalence is shown to be equivalent to a Brezzi-type inequality, which is fulfilled for the finite element spaces considered here.

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