An analysis of the exterior Neumann problem for the Poisson equation in connection with a numerical procedure
Mathematica Applicanda, Tome 22 (1993) no. 36, pp. 3-17.

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This paper is concerned with transforming the exterior problem Δu=f on Ωc, (∂u/∂n)|Γ=g, where ΩR2 is a bounded region and Ω^(c)=int(R2\Ω), into a problem represented by two equations. The first one is posed on a bounded domain and the second one is posed on the outer part of the boundary of the domain. This new problem is suitable for a numerical method based on coupling the finite and boundary element methods.
DOI : 10.14708/ma.v22i36.1813
Classification : 65N38 (35J25, 65N30)
Mots-clés : Boundary element methods, Boundary value problems for second-order elliptic equations, Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
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Tomasz Roliński. An analysis of the exterior Neumann problem for the Poisson equation in connection with a numerical procedure. Mathematica Applicanda, Tome 22 (1993) no. 36, pp.  3-17. doi : 10.14708/ma.v22i36.1813. http://geodesic.mathdoc.fr/articles/10.14708/ma.v22i36.1813/

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