The fast multipole boundary element method for potential problems: a tutorial. Zbl 1187.65134
Liu, Y. J.; Nishimura, N. |
|
2006
|
Analysis of shell-like structures by the boundary element method based on 3-D elasticity: Formulation and verification. Zbl 0910.73068
Liu, Yijun |
|
1998
|
An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation. Zbl 1176.76083
Shen, L.; Liu, Y. J. |
|
2007
|
A new boundary meshfree method with distributed sources. Zbl 1244.65189
Liu, Y. J. |
|
2010
|
A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems. Zbl 0754.76072
Liu, Yijun; Rizzo, F. J. |
|
1992
|
New identities for fundamental solutions and their applications to non-singular boundary element formulations. Zbl 0969.74073
Liu, Y. J.; Rudolphi, T. J. |
|
1999
|
Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method. Zbl 0938.74075
Luo, J. F.; Liu, Y. J.; Berger, E. J. |
|
1998
|
A fast boundary element method for the analysis of fiber-reinforced composites based on a rigid-inclusion model. Zbl 1111.74528
Liu, Y. J.; Nishimura, N.; Otani, Y.; Takahashi, T.; Chen, X. L.; Munakata, H. |
|
2005
|
Boundary integral equations for thin bodies. Zbl 0795.73076
Krishnasamy, Guna; Rizzo, Frank J.; Liu, Yijun |
|
1994
|
On the simple-solution method and non-singular nature of the BIE/BEM – a review and some new results. Zbl 0974.65110
Liu, Y. J. |
|
2000
|
A new fast multipole boundary element method for solving large-scale two-dimensional elastostatic problems. Zbl 1121.74061
Liu, Yijun |
|
2006
|
Hypersingular boundary integral equations for radiation and scattering of elastic waves in three dimensions. Zbl 0806.73073
Liu, Yijun; Rizzo, F. J. |
|
1993
|
A fast multipole accelerated method of fundamental solutions for potential problems. Zbl 1182.74256
Liu, Y. J.; Nishimura, N.; Yao, Z. H. |
|
2005
|
On the BEM for acoustic wave problems. Zbl 1464.76096
Liu, Yijun |
|
2019
|
Adaptive fast multipole boundary element method for three-dimensional half-space acoustic wave problems. Zbl 1244.76030
Bapat, M. S.; Shen, L.; Liu, Y. J. |
|
2009
|
An adaptive fast multipole boundary element method for three-dimensional potential problems. Zbl 1198.74113
Shen, Liang; Liu, Yijun J. |
|
2007
|
A fast multipole boundary element method for 2D multi-domain elastostatic problems based on a dual BIE formulation. Zbl 1163.74559
Liu, Y. J. |
|
2008
|
A new form of the hypersingular boundary integral equation for 3-D acoustics and its implementation with \(C^0\) boundary elements. Zbl 0946.76051
Liu, Yijun; Chen, Shaohai |
|
1999
|
Analysis of thin piezoelectric solids by the boundary element method. Zbl 1131.74342
Liu, Yijun; Fan, Hui |
|
2002
|
An advanced 3D boundary element method for characterizations of composite materials. Zbl 1182.74212
Chen, X. L.; Liu, Y. J. |
|
2005
|
A new fast multipole boundary element method for solving 2-D Stokes flow problems based on a dual BIE formulation. Zbl 1244.76052
Liu, Y. J. |
|
2008
|
Interfacial stress analysis for multi-coating systems using an advanced boundary element method. Zbl 0961.74069
Luo, J. F.; Liu, Y. J.; Berger, E. J. |
|
2000
|
Finite deflection analysis of elastic plate by the boundary element method. Zbl 0582.73070
Ye, T. Q.; Liu, Yijun |
|
1985
|
An adaptive model order reduction method for boundary element-based multi-frequency acoustic wave problems. Zbl 1506.74470
Xie, Xiang; Liu, Yijun |
|
2021
|
Thermal stress analysis of multi-layer thin films and coatings by an advanced boundary element method. Zbl 1018.74038
Chen, Xiaolin; Liu, Yijun |
|
2001
|
On the conventional boundary integral equation formulation for piezoelectric solids with defects or of thin shapes. Zbl 1114.74497
Liu, Yijun; Fan, Hui |
|
2001
|
Modeling of interphases in fiber-reinforced composites under transverse loading using the boundary element method. Zbl 1110.74568
Liu, Y. J.; Xu, N.; Luo, J. F. |
|
2000
|
A dual BIE approach for large-scale modelling of 3-D electrostatic problems with the fast multipole boundary element method. Zbl 1194.78058
Liu, Y. J.; Shen, L. |
|
2007
|
Thermal analysis of carbon-nanotube composites using a rigid-line inclusion model by the boundary integral equation method. Zbl 1109.74321
Nishimura, N.; Liu, Y. J. |
|
2004
|
A low-frequency fast multipole boundary element method based on analytical integration of the hypersingular integral for 3D acoustic problems. Zbl 1351.76152
Wu, Haijun; Liu, Yijun; Jiang, Weikang |
|
2013
|
A fast multipole boundary element method for solving the thin plate bending problem. Zbl 1287.74048
Huang, S.; Liu, Y. J. |
|
2013
|
Analytical integration of the moments in the diagonal form fast multipole boundary element method for 3-D acoustic wave problems. Zbl 1245.76140
Wu, Haijun; Liu, Yijun; Jiang, Weikang |
|
2012
|
A fast multipole boundary element method for 3D multi-domain acoustic scattering problems based on the Burton-Miller formulation. Zbl 1351.74147
Wu, Haijun; Liu, Yijun; Jiang, Weikang |
|
2012
|
Efficient solution of multiple cracks in great number using eigen COD boundary integral equations with iteration procedure. Zbl 1297.74107
Ma, Hang; Guo, Zhao; Dhanasekar, Manicka; Yan, Cheng; Liu, Yijun |
|
2013
|
A fast directional BEM for large-scale acoustic problems based on the Burton-Miller formulation. Zbl 1403.76062
Cao, Yanchuang; Wen, Lihua; Xiao, Jinyou; Liu, Yijun |
|
2015
|
Some advances in boundary integral methods for wave-scattering from cracks. Zbl 0784.73023
Krishnasamy, G.; Rizzo, F. J.; Liu, Y. J. |
|
1992
|
Analysis of dynamic crack propagation in two-dimensional elastic bodies by coupling the boundary element method and the bond-based peridynamics. Zbl 1507.74431
Yang, Yang; Liu, Yijun |
|
2022
|
A fast multipole boundary element method for three-dimensional half-space acoustic wave problems over an impedance plane. Zbl 1359.76203
Wu, Haijun; Liu, Yijun; Jiang, Weikang; Lu, Wenbo |
|
2015
|
The boundary element method. Zbl 1359.65281
Mukherjee, Subrata; Liu, Yijun |
|
2013
|
A new fast direct solver for the boundary element method. Zbl 1412.65234
Huang, S.; Liu, Y. J. |
|
2017
|
Revisit of the equivalence of the displacement discontinuity method and boundary element method for solving crack problems. Zbl 1297.74106
Liu, Y. J.; Li, Y. X. |
|
2014
|
A fast multipole boundary element method for modeling 2-D multiple crack problems with constant elements. Zbl 1297.74146
Guo, Zhao; Liu, Yijun; Ma, Hang; Huang, Shuo |
|
2014
|
Determining the defect locations and sizes in elastic plates by using the artificial neural network and boundary element method. Zbl 1521.74133
Han, Xinyue; Yang, Yang; Liu, Yijun |
|
2022
|
Fast multipole boundary element analysis of 2D viscoelastic composites with imperfect interfaces. Zbl 1386.74147
Zhu, XingYi; Chen, WeiQiu; Huang, ZhiYi; Liu, YiJun |
|
2010
|
Boundary effect on the elastic field of a semi-infinite solid containing inhomogeneities. Zbl 1371.74071
Liu, Y. J.; Song, G.; Yin, H. M. |
|
2015
|
A new simple multidomain fast multipole boundary element method. Zbl 1398.74439
Huang, S.; Liu, Yijun |
|
2016
|
Thermoelastic wave characteristics in a hollow cylinder using the modified wave finite element method. Zbl 1341.74152
Li, C. L.; Han, Q.; Liu, Y. J. |
|
2016
|
A fast multipole boundary element method for solving two-dimensional thermoelasticity problems. Zbl 1311.74035
Liu, Y. J.; Li, Y. X.; Huang, S. |
|
2014
|
Dual BIE approaches for modeling electrostatic MEMS problems with thin beams and accelerated by the fast multipole method. Zbl 1195.78068
Liu, Y. J. |
|
2006
|
A new boundary element method for modeling wave propagation in functionally graded materials. Zbl 1472.74205
Yang, Yang; Liu, Yijun |
|
2020
|
Efficient multi-frequency solutions of FE-be coupled structural-acoustic problems using Arnoldi-based dimension reduction approach. Zbl 1507.74521
Xie, Xiang; Liu, Yijun |
|
2021
|
Identities for the fundamental solution of thin plate bending problems and the nonuniqueness of the hypersingular BIE solution for multi-connected domains. Zbl 1297.74050
Liu, Y. J.; Huang, S. |
|
2013
|
Slow convergence of the BEM with constant elements in solving beam bending problems. Zbl 1297.74148
Liu, Y. J.; Li, Y. X. |
|
2014
|
A fast multipole boundary element method for 2D viscoelastic problems. Zbl 1259.74077
Zhu, X. Y.; Chen, W. Q.; Huang, Z. Y.; Liu, Y. J. |
|
2011
|
A boundary element method for the analysis of CNT/polymer composites with a cohesive interface model based on molecular dynamics. Zbl 1244.74168
Liu, Y. J.; Nishimura, N.; Qian, D.; Adachi, N.; Otani, Y.; Mokashi, V. |
|
2008
|
Development of the fast multipole boundary element method for acoustic wave problems. Zbl 1161.74512
Liu, Yijun; Shen, Liang; Bapat, Milind |
|
2009
|
Analysis of 3-D frictional contact mechanics problems by a boundary element method. Zbl 1139.74432
Keum, Banyong; Liu, Yijun |
|
2005
|
An internet-based computing platform for the boundary element method. Zbl 1035.68013
Nuggehally, M.; Liu, Y. J.; Chaudhari, S. B.; Thampi, P. |
|
2003
|
A fast direct boundary element method for 3D acoustic problems based on hierarchical matrices. Zbl 1521.74335
Li, Ruoyan; Liu, Yijun; Ye, Wenjing |
|
2023
|
Guided wave propagation in rotating functionally graded annular plates. Zbl 1383.74059
Li, C. L.; Han, Q.; Liu, Y. J.; Xiao, D. L. |
|
2017
|
A dual interpolation Galerkin boundary face method for potential problems. Zbl 1464.74350
Zhang, Jianming; Yang, Le; Liu, Yijun; Lin, Weicheng; He, Rui |
|
2020
|
Diagonal form fast multipole boundary element method for 2D acoustic problems based on Burton-Miller boundary integral equation formulation and its applications. Zbl 1237.74197
Wu, Hai-jun; Jiang, Wei-kang; Liu, Y. J. |
|
2011
|
Analysis of numerical integration error for Bessel integral identity in fast multipole method for 2D Helmholtz equation. Zbl 1219.65141
Wu, Hai-Jun; Jiang, Wei-Kang; Liu, Yi-Jun |
|
2010
|
A time-domain boundary element method using a kernel-function library for 3D acoustic problems. Zbl 07855316
Gao, Zhenyu; Li, Zonglin; Liu, Yijun |
|
2024
|
A time-domain boundary element method using a kernel-function library for 3D acoustic problems. Zbl 07855316
Gao, Zhenyu; Li, Zonglin; Liu, Yijun |
|
2024
|
A fast direct boundary element method for 3D acoustic problems based on hierarchical matrices. Zbl 1521.74335
Li, Ruoyan; Liu, Yijun; Ye, Wenjing |
|
2023
|
Analysis of dynamic crack propagation in two-dimensional elastic bodies by coupling the boundary element method and the bond-based peridynamics. Zbl 1507.74431
Yang, Yang; Liu, Yijun |
|
2022
|
Determining the defect locations and sizes in elastic plates by using the artificial neural network and boundary element method. Zbl 1521.74133
Han, Xinyue; Yang, Yang; Liu, Yijun |
|
2022
|
An adaptive model order reduction method for boundary element-based multi-frequency acoustic wave problems. Zbl 1506.74470
Xie, Xiang; Liu, Yijun |
|
2021
|
Efficient multi-frequency solutions of FE-be coupled structural-acoustic problems using Arnoldi-based dimension reduction approach. Zbl 1507.74521
Xie, Xiang; Liu, Yijun |
|
2021
|
A new boundary element method for modeling wave propagation in functionally graded materials. Zbl 1472.74205
Yang, Yang; Liu, Yijun |
|
2020
|
A dual interpolation Galerkin boundary face method for potential problems. Zbl 1464.74350
Zhang, Jianming; Yang, Le; Liu, Yijun; Lin, Weicheng; He, Rui |
|
2020
|
On the BEM for acoustic wave problems. Zbl 1464.76096
Liu, Yijun |
|
2019
|
A new fast direct solver for the boundary element method. Zbl 1412.65234
Huang, S.; Liu, Y. J. |
|
2017
|
Guided wave propagation in rotating functionally graded annular plates. Zbl 1383.74059
Li, C. L.; Han, Q.; Liu, Y. J.; Xiao, D. L. |
|
2017
|
A new simple multidomain fast multipole boundary element method. Zbl 1398.74439
Huang, S.; Liu, Yijun |
|
2016
|
Thermoelastic wave characteristics in a hollow cylinder using the modified wave finite element method. Zbl 1341.74152
Li, C. L.; Han, Q.; Liu, Y. J. |
|
2016
|
A fast directional BEM for large-scale acoustic problems based on the Burton-Miller formulation. Zbl 1403.76062
Cao, Yanchuang; Wen, Lihua; Xiao, Jinyou; Liu, Yijun |
|
2015
|
A fast multipole boundary element method for three-dimensional half-space acoustic wave problems over an impedance plane. Zbl 1359.76203
Wu, Haijun; Liu, Yijun; Jiang, Weikang; Lu, Wenbo |
|
2015
|
Boundary effect on the elastic field of a semi-infinite solid containing inhomogeneities. Zbl 1371.74071
Liu, Y. J.; Song, G.; Yin, H. M. |
|
2015
|
Revisit of the equivalence of the displacement discontinuity method and boundary element method for solving crack problems. Zbl 1297.74106
Liu, Y. J.; Li, Y. X. |
|
2014
|
A fast multipole boundary element method for modeling 2-D multiple crack problems with constant elements. Zbl 1297.74146
Guo, Zhao; Liu, Yijun; Ma, Hang; Huang, Shuo |
|
2014
|
A fast multipole boundary element method for solving two-dimensional thermoelasticity problems. Zbl 1311.74035
Liu, Y. J.; Li, Y. X.; Huang, S. |
|
2014
|
Slow convergence of the BEM with constant elements in solving beam bending problems. Zbl 1297.74148
Liu, Y. J.; Li, Y. X. |
|
2014
|
A low-frequency fast multipole boundary element method based on analytical integration of the hypersingular integral for 3D acoustic problems. Zbl 1351.76152
Wu, Haijun; Liu, Yijun; Jiang, Weikang |
|
2013
|
A fast multipole boundary element method for solving the thin plate bending problem. Zbl 1287.74048
Huang, S.; Liu, Y. J. |
|
2013
|
Efficient solution of multiple cracks in great number using eigen COD boundary integral equations with iteration procedure. Zbl 1297.74107
Ma, Hang; Guo, Zhao; Dhanasekar, Manicka; Yan, Cheng; Liu, Yijun |
|
2013
|
The boundary element method. Zbl 1359.65281
Mukherjee, Subrata; Liu, Yijun |
|
2013
|
Identities for the fundamental solution of thin plate bending problems and the nonuniqueness of the hypersingular BIE solution for multi-connected domains. Zbl 1297.74050
Liu, Y. J.; Huang, S. |
|
2013
|
Analytical integration of the moments in the diagonal form fast multipole boundary element method for 3-D acoustic wave problems. Zbl 1245.76140
Wu, Haijun; Liu, Yijun; Jiang, Weikang |
|
2012
|
A fast multipole boundary element method for 3D multi-domain acoustic scattering problems based on the Burton-Miller formulation. Zbl 1351.74147
Wu, Haijun; Liu, Yijun; Jiang, Weikang |
|
2012
|
A fast multipole boundary element method for 2D viscoelastic problems. Zbl 1259.74077
Zhu, X. Y.; Chen, W. Q.; Huang, Z. Y.; Liu, Y. J. |
|
2011
|
Diagonal form fast multipole boundary element method for 2D acoustic problems based on Burton-Miller boundary integral equation formulation and its applications. Zbl 1237.74197
Wu, Hai-jun; Jiang, Wei-kang; Liu, Y. J. |
|
2011
|
A new boundary meshfree method with distributed sources. Zbl 1244.65189
Liu, Y. J. |
|
2010
|
Fast multipole boundary element analysis of 2D viscoelastic composites with imperfect interfaces. Zbl 1386.74147
Zhu, XingYi; Chen, WeiQiu; Huang, ZhiYi; Liu, YiJun |
|
2010
|
Analysis of numerical integration error for Bessel integral identity in fast multipole method for 2D Helmholtz equation. Zbl 1219.65141
Wu, Hai-Jun; Jiang, Wei-Kang; Liu, Yi-Jun |
|
2010
|
Adaptive fast multipole boundary element method for three-dimensional half-space acoustic wave problems. Zbl 1244.76030
Bapat, M. S.; Shen, L.; Liu, Y. J. |
|
2009
|
Development of the fast multipole boundary element method for acoustic wave problems. Zbl 1161.74512
Liu, Yijun; Shen, Liang; Bapat, Milind |
|
2009
|
A fast multipole boundary element method for 2D multi-domain elastostatic problems based on a dual BIE formulation. Zbl 1163.74559
Liu, Y. J. |
|
2008
|
A new fast multipole boundary element method for solving 2-D Stokes flow problems based on a dual BIE formulation. Zbl 1244.76052
Liu, Y. J. |
|
2008
|
A boundary element method for the analysis of CNT/polymer composites with a cohesive interface model based on molecular dynamics. Zbl 1244.74168
Liu, Y. J.; Nishimura, N.; Qian, D.; Adachi, N.; Otani, Y.; Mokashi, V. |
|
2008
|
An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation. Zbl 1176.76083
Shen, L.; Liu, Y. J. |
|
2007
|
An adaptive fast multipole boundary element method for three-dimensional potential problems. Zbl 1198.74113
Shen, Liang; Liu, Yijun J. |
|
2007
|
A dual BIE approach for large-scale modelling of 3-D electrostatic problems with the fast multipole boundary element method. Zbl 1194.78058
Liu, Y. J.; Shen, L. |
|
2007
|
The fast multipole boundary element method for potential problems: a tutorial. Zbl 1187.65134
Liu, Y. J.; Nishimura, N. |
|
2006
|
A new fast multipole boundary element method for solving large-scale two-dimensional elastostatic problems. Zbl 1121.74061
Liu, Yijun |
|
2006
|
Dual BIE approaches for modeling electrostatic MEMS problems with thin beams and accelerated by the fast multipole method. Zbl 1195.78068
Liu, Y. J. |
|
2006
|
A fast boundary element method for the analysis of fiber-reinforced composites based on a rigid-inclusion model. Zbl 1111.74528
Liu, Y. J.; Nishimura, N.; Otani, Y.; Takahashi, T.; Chen, X. L.; Munakata, H. |
|
2005
|
A fast multipole accelerated method of fundamental solutions for potential problems. Zbl 1182.74256
Liu, Y. J.; Nishimura, N.; Yao, Z. H. |
|
2005
|
An advanced 3D boundary element method for characterizations of composite materials. Zbl 1182.74212
Chen, X. L.; Liu, Y. J. |
|
2005
|
Analysis of 3-D frictional contact mechanics problems by a boundary element method. Zbl 1139.74432
Keum, Banyong; Liu, Yijun |
|
2005
|
Thermal analysis of carbon-nanotube composites using a rigid-line inclusion model by the boundary integral equation method. Zbl 1109.74321
Nishimura, N.; Liu, Y. J. |
|
2004
|
An internet-based computing platform for the boundary element method. Zbl 1035.68013
Nuggehally, M.; Liu, Y. J.; Chaudhari, S. B.; Thampi, P. |
|
2003
|
Analysis of thin piezoelectric solids by the boundary element method. Zbl 1131.74342
Liu, Yijun; Fan, Hui |
|
2002
|
Thermal stress analysis of multi-layer thin films and coatings by an advanced boundary element method. Zbl 1018.74038
Chen, Xiaolin; Liu, Yijun |
|
2001
|
On the conventional boundary integral equation formulation for piezoelectric solids with defects or of thin shapes. Zbl 1114.74497
Liu, Yijun; Fan, Hui |
|
2001
|
On the simple-solution method and non-singular nature of the BIE/BEM – a review and some new results. Zbl 0974.65110
Liu, Y. J. |
|
2000
|
Interfacial stress analysis for multi-coating systems using an advanced boundary element method. Zbl 0961.74069
Luo, J. F.; Liu, Y. J.; Berger, E. J. |
|
2000
|
Modeling of interphases in fiber-reinforced composites under transverse loading using the boundary element method. Zbl 1110.74568
Liu, Y. J.; Xu, N.; Luo, J. F. |
|
2000
|
New identities for fundamental solutions and their applications to non-singular boundary element formulations. Zbl 0969.74073
Liu, Y. J.; Rudolphi, T. J. |
|
1999
|
A new form of the hypersingular boundary integral equation for 3-D acoustics and its implementation with \(C^0\) boundary elements. Zbl 0946.76051
Liu, Yijun; Chen, Shaohai |
|
1999
|
Analysis of shell-like structures by the boundary element method based on 3-D elasticity: Formulation and verification. Zbl 0910.73068
Liu, Yijun |
|
1998
|
Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method. Zbl 0938.74075
Luo, J. F.; Liu, Y. J.; Berger, E. J. |
|
1998
|
Boundary integral equations for thin bodies. Zbl 0795.73076
Krishnasamy, Guna; Rizzo, Frank J.; Liu, Yijun |
|
1994
|
Hypersingular boundary integral equations for radiation and scattering of elastic waves in three dimensions. Zbl 0806.73073
Liu, Yijun; Rizzo, F. J. |
|
1993
|
A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems. Zbl 0754.76072
Liu, Yijun; Rizzo, F. J. |
|
1992
|
Some advances in boundary integral methods for wave-scattering from cracks. Zbl 0784.73023
Krishnasamy, G.; Rizzo, F. J.; Liu, Y. J. |
|
1992
|
Finite deflection analysis of elastic plate by the boundary element method. Zbl 0582.73070
Ye, T. Q.; Liu, Yijun |
|
1985
|