This talk deals with the numerical solution of the exterior Neumann problem for Laplace's equation on planar domains with corners. The Authors propose a numerical method of Nyström type, based on a Lobatto quadrature rule, in order to approximate the solution of the corresponding boundary integral equation of the direct type. The convergence and stability of the method are proved and some numerical tests are shown.

A Nyström method for solving the exterior Neumann problem on planar domains with corners

LAURITA, Concetta
2012-01-01

Abstract

This talk deals with the numerical solution of the exterior Neumann problem for Laplace's equation on planar domains with corners. The Authors propose a numerical method of Nyström type, based on a Lobatto quadrature rule, in order to approximate the solution of the corresponding boundary integral equation of the direct type. The convergence and stability of the method are proved and some numerical tests are shown.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/34253
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