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Numerical solution of an exterior Neumann problem using a double layer potential

J. Giroire, J.-C. Nédélec

Source record

Source: Crossref

Published: Jan 1, 1978

DOI: 10.1090/s0025-5718-1978-0495015-8

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Source abstract

We give here a variational formulation in H 1 / 2 ( Γ ) / R {H^{1/2}}(\Gamma )/R of the exterior Neumann problem for the Laplace operator using a double layer potential. This formulation is then applied to the construction of a finite element method. Optimal error estimates are given.

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