A Collocation BEM for 3D Acoustic Problems Based on a Non-singular Burton-Miller Formulation With Linear Continuous Elements

[1]  Fatemeh Pourahmadian,et al.  Complex variables-based approach for analytical evaluation of boundary integral representations of three-dimensional acoustic scattering , 2015 .

[2]  Haijun Wu,et al.  A low-frequency fast multipole boundary element method based on analytical integration of the hypersingular integral for 3D acoustic problems , 2013 .

[3]  Nicolas Salles,et al.  Evaluation of 3-D Singular and Nearly Singular Integrals in Galerkin BEM for Thin Layers , 2012, SIAM J. Sci. Comput..

[4]  António Tadeu,et al.  3D acoustic wave simulation using BEM formulations: Closed form integration of singular and hypersingular integrals , 2012 .

[5]  Haijun Wu,et al.  Analytical integration of the moments in the diagonal form fast multipole boundary element method for 3-D acoustic wave problems , 2012 .

[6]  Toru Takahashi,et al.  Explicit evaluation of hypersingular boundary integral equations for acoustic sensitivity analysis based on direct differentiation method , 2011 .

[7]  Toru Takahashi,et al.  Three Dimensional Acoustic Shape Sensitivity Analysis by Means of Adjoint Variable Method and Fast Multipole Boundary Element Approach , 2011 .

[8]  Qibai Huang,et al.  An improved form of the hypersingular boundary integral equation for exterior acoustic problems , 2010 .

[9]  R. Duraiswami,et al.  Computation of singular and hypersingular boundary integrals by Green identity and application to boundary value problems , 2009 .

[10]  K. Chen,et al.  A new study of the Burton and Miller method for the solution of a 3D Helmholtz problem , 2008 .

[11]  S. Marburg,et al.  INFLUENCE OF ELEMENT TYPES ON NUMERIC ERROR FOR ACOUSTIC BOUNDARY ELEMENTS , 2003 .

[12]  S. Marburg.  SIX BOUNDARY ELEMENTS PER WAVELENGTH: IS THAT ENOUGH? , 2002 .

[13]  Yijun Liu,et al.  A new form of the hypersingular boundary integral equation for 3-D acoustics and its implementation with C0 boundary elements , 1999 .

[14]  G. Maier,et al.  Symmetric Galerkin Boundary Element Methods , 1998 .

[15]  Luiz C. Wrobel,et al.  A new family of continuous/discontinuous three‐dimensional boundary elements with application to acoustic wave propagation , 1993 .

[16]  F. J. Rizzo,et al.  A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems , 1992 .

[17]  Yijun Liu,et al.  Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations , 1991 .

[18]  A. F. Seybert,et al.  On the numerical implementation of a Cauchy principal value integral to insure a unique solution for acoustic radiation and scattering , 1991 .

[19]  T. Terai.  On calculation of sound fields around three dimensional objects by integral equation methods , 1980 .

[20]  G. F. Miller,et al.  The application of integral equation methods to the numerical solution of some exterior boundary-value problems , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[21]  D. Schweikert,et al.  Sound Radiation from an Arbitrary Body , 1963 .

[22]  George Chertock,et al.  Sound Radiation from Vibrating Surfaces , 1963 .

[23]  Toshiro Matsumoto,et al.  Explicit Evaluation of Hypersingular Boundary Integral Equation for 3-D Helmholtz Equation Discretized with Constant Triangular Element , 2010 .

[24]  H. Mang,et al.  A Galerkin BEM for acoustic radiation and scattering , 1996 .