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On the computer implementation of a coupled boundary and finite element method for the bidimensional exterior steady Stokes problem. (English) Zbl 0619.76039

The value of the paper lies not in the problem considered - the flow around a uniformly rotating circular cylinder in an unbounded domain - but in the precise evaluation of the method, for which the chosen problem serves as a test. The essence of the method is the coupling of the boundary and finite element methods and the estimates are given in terms of an appropriate Sobolev spaces.
The finite statement of the paper reads: ”A direct extension of this study is naturally the coupling between Navier-Stokes equations in the inner region and the Stokes equation in the outer region” and the author promisses to publish the results concerning this problem. Of course the real difficulty is the solution of Navier-Stokes equation in the whole space and to find the asymptotics in this case but even the problem named by the author will show if the sophisticated method proposed is an adequate tool for solving non-trivial problems.
Reviewer: R.Herczynski

MSC:

76D07 Stokes and related (Oseen, etc.) flows
65Z05 Applications to the sciences
35Q30 Navier-Stokes equations
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems

Software:

nag
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References:

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