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A finite element method for the double-layer potential solutions of the Neumann exterior problem. (English) Zbl 0437.65083

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
31B20 Boundary value and inverse problems for harmonic functions in higher dimensions
65R20 Numerical methods for integral equations
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References:
[1] Djaoua , M. Méthode des éléments finis pour la résolution d’un problème extérieur dans R 3 1975
[2] Giroire, Numerical solution of an exterior Neumann problem using a double layer potential, Math. of Computation 32 (n{\(\deg\)}) pp 144– (1978) · Zbl 0405.65060
[3] Mikhlin, Mathematical Physics, an advanced course (1970) · Zbl 0202.36901
[4] Nedelec, Approximation par potentiel de double couche du problème de Neumann extérieur, C. R. Acad. Sci. Paris, série A 286 pp 616– (1977)
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