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A linear Uzawa‐algorithm for the steady‐state Navier‐Stokes problem
Author(s) -
Hebeker F.K.,
Martensen E.
Publication year - 1981
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670030109
Subject(s) - mathematics , sequence (biology) , finite element method , stokes problem , boundary value problem , steady state (chemistry) , navier–stokes equations , limit of a sequence , mathematical analysis , mathematical optimization , compressibility , limit (mathematics) , genetics , physics , engineering , biology , aerospace engineering , thermodynamics , chemistry
Abstract An Uzawa algorithm of Temam is improved so that the Navier‐Stokes boundary value problem is reduced to a sequence of linear Poisson problems. A simple finite element method is shown to give a convergent sequence of approximate solutions. Finally a penalty variant is discussed.