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On the role of commutator arguments in the development of parameter-robust preconditioners for Stokes control problems

Abstract:

The development of preconditioners for PDE-constrained optimization problems is a field of numerical analysis which has recently generated much interest. One class of problems which has been investigated in particular is that of Stokes control problems, that is the problem of minimizing a functional with the Stokes (or Navier-Stokes) equations as constraints. In this manuscript, we present an approach for preconditioning Stokes control problems using preconditioners for the Poisson control pr...

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Publisher:
ETNA
Publication date:
2013-08-01
UUID:
uuid:f822a48b-3e8b-4a31-a69d-025157815b94
Local pid:
oai:eprints.maths.ox.ac.uk:1750
Deposit date:
2013-09-10

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