Remarks on Multilevel Bases for Divergence-Free Finite Elements |
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Authors: | P Oswald |
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Institution: | (1) Bell Laboratories, Lucent Technologies, Murray Hill, NJ 07974, USA |
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Abstract: | 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. |
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Keywords: | generalized Stokes problem mixed finite elements divergence-free finite elements preconditioners hierarchical bases |
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