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Numerical integration schemes for the BEM solution of hypersingular integral equations
Author(s) -
Aimi A.,
Diligenti M.,
Monegato G.
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19990830)45:12<1807::aid-nme655>3.0.co;2-k
Subject(s) - mathematics , galerkin method , piecewise , polynomial , boundary element method , integral equation , parametric statistics , singular integral , mathematical analysis , boundary (topology) , boundary value problem , finite element method , statistics , physics , thermodynamics
In this paper we consider singular and hypersingular integral equations associated with 2D boundary value problems defined on domains whose boundaries have piecewise smooth parametric representations. In particular, given any (polynomial) local basis, we show how to compute efficiently all integrals required by the Galerkin method. The proposed numerical schemes require the user to specify only the local polynomial degrees; therefore they are quite suitable for the construction of p ‐ and h ‐ p versions of Galerkin BEM. Copyright © 1999 John Wiley & Sons, Ltd.