Evaluation of hypersingular and nearly singular integrals in the Isogeometric Boundary Element Method for acoustics

Special integration routines for hypersingular and nearly singular integrals that arise in an Isogeometric Boundary Element Method (IGABEM) are presented. The IGABEM is applied to an acoustic problem in the frequency domain that corresponds to the Helmholtz equation in three dimensions. A major topi...

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Veröffentlicht in:	Computer methods in applied mechanics and engineering 2017-10, Vol.325, p.488-504
Hauptverfasser:	Keuchel, Sören, Hagelstein, Nils Christian, Zaleski, Olgierd, von Estorff, Otto
Format:	Artikel
Sprache:	eng
Schlagworte:	Acoustics Approximation Boundary conditions Boundary Element Method Computer simulation Helmholtz equation Helmholtz equations Integral equations Isogeometric analysis Kernels Mathematical analysis Numerical analysis Numerical integration Routines Studies Uniqueness
Online-Zugang:	Volltext
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