Numerical Integration Schemes for Hypersingular Integrals on the Real Line

Alessandra Aimi, Mauro Diligenti

Abstract


Modelling unbounded domains is an important issue in engineering. During these last years,
elliptic boundary value problems on a half-plane, reformulated in terms of boundary integral
equations on the real line, have been investigated. Here, using the fundamental solutions
for a full-space, we consider hypersingular integral equations arising from Neumann 2D elliptic
problems defined over unbounded domains with unbounded boundaries and we use a suitable
Petrov-Galerkin infinite BEM approach as discretization technique. Numerical quadrature
schemes are proposed to compute the involved integrals. Several results on half-planes
and infinite strips are presented.

[DOI: 10.1685/CSC06003] About DOI

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DOI: http://dx.doi.org/10.1685/




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