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The coupling of boundary integral and finite element methods for the exterior steady Oseen problem. (English) Zbl 0953.76048

Summary: We present a numerical method for solving steady Oseen equations in an unbounded plane domain. The technique consists in coupling the boundary integral and finite element methods. We introduce an artificial smooth boundary separating an interior inhomogeneous region from an exterior homogeneous one. The solution in exterior region is represented by an integral equation over the artificial boundary. This integral equation is incorporated into a velocity-pressure formulation for the interior region, and a finite element method is used to approximate the resulting variational problem. Finally, we derive optimal error estimates for numerical solution.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76M15 Boundary element methods applied to problems in fluid mechanics
76D07 Stokes and related (Oseen, etc.) flows
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