Solving the hypersingular boundary integral equation for the Burton and Miller formulation

The Journal of the Acoustical Society of America ◽

10.1121/1.4935134 ◽

2015 ◽

Vol 138 (5) ◽

pp. 3332-3340 ◽

Author(s):

Christophe Langrenne ◽

Alexandre Garcia ◽

Marc Bonnet

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Hypersingular Boundary Integral Equation

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A fast multipole boundary element method for a modified hypersingular boundary integral equation

Analysis and Simulation of Multifield Problems - Lecture Notes in Applied and Computational Mechanics ◽

10.1007/978-3-540-36527-3_17 ◽

2003 ◽

pp. 163-169 ◽

Author(s):

Günther Of ◽

Olaf Steinbach

Keyword(s):

Integral Equation ◽

Boundary Element Method ◽

Boundary Element ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Fast Multipole ◽

Hypersingular Boundary Integral Equation ◽

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On a Full Discretization Scheme for a Hypersingular Boundary Integral Equation over Smooth Curves

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/598 ◽

1992 ◽

Vol 11 (3) ◽

pp. 385-396 ◽

Author(s):

R. Kieser ◽

B. Kleemann ◽

A. Rathsfeld

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Discretization Scheme ◽

Full Discretization ◽

Smooth Curves ◽

Hypersingular Boundary Integral Equation

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The numerical solution of a nonlinear hypersingular boundary integral equation

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00269-7 ◽

2001 ◽

Vol 131 (1-2) ◽

pp. 267-280 ◽

Author(s):

M. Ganesh ◽

O. Steinbach

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Hypersingular Boundary Integral Equation

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Exact integration for the hypersingular boundary integral equation of two-dimensional elastostatics

STRUCTURAL ENGINEERING AND MECHANICS ◽

10.12989/sem.2008.30.3.279 ◽

2008 ◽

Vol 30 (3) ◽

pp. 279-296 ◽

Author(s):

Xiaosong Zhang ◽

Xiaoxian Zhang

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Two Dimensional ◽

Exact Integration ◽

Hypersingular Boundary Integral Equation

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A hypersingular boundary integral equation for antiplane crack problems for a class of inhomogeneous anisotropic elastic materials

Engineering Analysis with Boundary Elements ◽

10.1016/s0955-7997(99)00007-7 ◽

1999 ◽

Vol 23 (7) ◽

pp. 567-572 ◽

Author(s):

W.T Ang ◽

D.L Clements ◽

T Cooke

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Elastic Materials ◽

Crack Problems ◽

Anisotropic Elastic ◽

Hypersingular Boundary Integral Equation

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Approximate Solutions of a Hypersingular Boundary Integral Equation

2009 Second International Conference on Information and Computing Science ◽

10.1109/icic.2009.213 ◽

2009 ◽

Author(s):

Lihua Mu ◽

Hong Du ◽

Jihong Shen

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Approximate Solutions ◽

Boundary Integral ◽

Hypersingular Boundary Integral Equation

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Solving the hypersingular boundary integral equation in three-dimensional acoustics using a regularization relationship

The Journal of the Acoustical Society of America ◽

10.1121/1.1560164 ◽

2003 ◽

Vol 113 (5) ◽

pp. 2674-2683 ◽

Author(s):

Zai You Yan ◽

Kin Chew Hung ◽

Hui Zheng

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Three Dimensional ◽

Boundary Integral ◽

Hypersingular Boundary Integral Equation

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Volume integration in the hypersingular boundary integral equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2013.04.016 ◽

2013 ◽

Vol 37 (9) ◽

pp. 1145-1150 ◽

Author(s):

James Andress ◽

Wenjing Ye ◽

L.J. Gray

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Volume Integration ◽

Hypersingular Boundary Integral Equation

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A hypersingular boundary integral equation for a class of antiplane multiple crack problems for inhomogeneous elastic materials

Communications in Numerical Methods in Engineering ◽

10.1002/(sici)1099-0887(199903)15:3<183::aid-cnm234>3.0.co;2-9 ◽

1999 ◽

Vol 15 (3) ◽

pp. 183-191 ◽

Author(s):

W. T. Ang ◽

D. L. Clements ◽

T. Cooke

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Elastic Materials ◽

Multiple Crack ◽

Crack Problems ◽

Hypersingular Boundary Integral Equation

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AN ASYMPTOTIC SOLUTION OF THE HYPERSINGULAR BOUNDARY INTEGRAL EQUATION SIMULATING WAVE SCATTERING BY THE INTERFACE STRIP-LIKE CRACK

PNRPU Mechanics Bulletin ◽

10.15593/perm.mech/2019.2.07 ◽

2019 ◽

Keyword(s):

Integral Equation ◽

Asymptotic Solution ◽

Boundary Integral Equation ◽

Wave Scattering ◽

Boundary Integral ◽

Hypersingular Boundary Integral Equation

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