The connection between the multilevel factorization method recently proposed by Sarin and Sameh for solving mixed discretizations of the Stokes equation using a divergence-free finite element formulation, and hierarchical basis preconditioners for the Poisson problem is established. For the 2D triangular Taylor–Hood element, a preconditioner is proposed that could be useful in fractional step methods.
机构:
Weierstrass Inst Berlin WIAS, Numer Math & Sci Comp, Mohrenstr 39, D-10117 Berlin, GermanyWeierstrass Inst Berlin WIAS, Numer Math & Sci Comp, Mohrenstr 39, D-10117 Berlin, Germany
Farrell, Patricio
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机构:
Gillow, Kathryn
Wendland, Holger
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机构:
Univ Bayreuth, Dept Math, D-95440 Bayreuth, GermanyWeierstrass Inst Berlin WIAS, Numer Math & Sci Comp, Mohrenstr 39, D-10117 Berlin, Germany