A linear Uzawa‐algorithm for the steady‐state Navier‐Stokes problem | Zendy

Hebeker F.K. | Zendy; Martensen E. | Zendy

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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

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.

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