# zbMATH — the first resource for mathematics

## Engineering Analysis with Boundary Elements

 Short Title: Eng. Anal. Bound. Elem. Publisher: Elsevier, Oxford; Association with the International Society of Boundary Elements (ISBE) ISSN: 0955-7997 Online: http://www.sciencedirect.com/science/journal/09557997
 Documents Indexed: 3,486 Publications (since 1998) References Indexed: 3,394 Publications with 113,514 References.
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#### Latest Issues

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#### Authors

 40 Zhang, Jianming 38 Gao, Xiaowei 38 Tadeu, António J. B. 37 Chen, Wen 37 Dehghan Takht Fooladi, Mehdi 36 Sladek, Jan 36 Sladek, Vladimir 35 Zhang, Chuanzeng 34 Mansur, Webe Joao 32 Chen, Jeng-Tzong 32 Li, Zi-Cai 32 Liu, Gui-Rong 32 Power, Henry 32 Šarler, Božidar 28 Poljak, Dragan 27 Fan, Chia-Ming 27 Hon, Yiu-Chung 27 Zheng, Hong 25 Ferri Aliabadi, Mohammad Hossien 25 Chen, Ching-Shyang 25 Li, Xiaolin 25 Liu, Chein-Shan 25 Ravnik, Jure 24 Kassab, Alain J. 24 Lesnic, Daniel 24 Rashed, Youssef F. 23 Godinho, Luís M. C. 23 Gu, Yan 23 Li, Guangyao 21 Ingham, Derek Binns 21 Liew, Kim Meow 20 Chen, Yizhou 20 Divo, Eduardo A. 20 Elliott, Lionel 20 Telles, José Claudio de Faria 20 Wrobel, Luiz Carlos 19 Karageorghis, Andreas 19 Siraj-ul-Islam 19 Yang, Yongtao 19 Zhao, Minghao 18 Carrer, José Antonio Marques 18 Cheng, Alexander H.-D. 17 Abbaszadeh, Mostafa 17 Huang, Hung-Tsai 17 Liang, Jianwen 17 Mukherjee, Subrata 17 Qin, Qinghua 16 Brebbia, Carlos Alberto 16 Fu, Zhuojia 16 Ma, Hang 16 Marin, Liviu 16 Pozrikidis, Constantine 16 Xie, Guizhong 15 Hematiyan, Mohammad Rahim 15 Hriberšek, Matjaž 15 Lee, Ming-Gong 15 Mogilevskaya, Sofia G. 15 Venturini, Wilson Sergio 14 Belinha, Jorge 14 Gray, Leonard J. 14 Kamiya, Norio 14 Lei, Jun 14 Leonel, Edson Denner 14 Manolis, George D. 14 Ochiai, Yoshihiro 14 Yang, Kai 13 António, Julieta M. P. 13 Lin, Gao 13 Lin, Ji 13 Ling, Leevan 13 Liu, Zhongxian 13 Matsumoto, Toshiro 13 París, Federico 13 Popov, Viktor 13 Škerget, Leopold 13 Soares, Delfim jun. 13 Wen, Pihua H. 13 Yao, Zhenhan 12 Abbasbandy, Saeid 12 Ang, Wei Tech 12 Eldho, T. I. 12 Fan, CuiYing 12 Niu, Zhongrong 12 Pan, Ernian 12 Santiago, J. A. F. 12 Trevelyan, Jon 12 Zhang, GuiYong 11 Ba, Zhenning 11 Cheng, Changzheng 11 Crouch, Steven L. 11 de Paiva, João Batista 11 Fernandes, Gabriela Rezende 11 Ferreira, António Joaquim Mendes 11 Hwu, Chyanbin 11 Katsikadelis, John T. 11 Liu, Jun 11 Liu, Yijun 11 Lv, Jiahe 11 Mai-Duy, Nam 11 Natal Jorge, Renato Manuel ...and 4,025 more Authors
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#### Fields

 2,175 Numerical analysis (65-XX) 1,677 Mechanics of deformable solids (74-XX) 830 Fluid mechanics (76-XX) 289 Classical thermodynamics, heat transfer (80-XX) 247 Partial differential equations (35-XX) 201 Optics, electromagnetic theory (78-XX) 76 Biology and other natural sciences (92-XX) 67 Geophysics (86-XX) 44 Integral equations (45-XX) 31 Statistical mechanics, structure of matter (82-XX) 23 Operations research, mathematical programming (90-XX) 20 History and biography (01-XX) 17 General and overarching topics; collections (00-XX) 17 Approximations and expansions (41-XX) 16 Probability theory and stochastic processes (60-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Computer science (68-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Potential theory (31-XX) 6 Mechanics of particles and systems (70-XX) 6 Information and communication theory, circuits (94-XX) 5 Integral transforms, operational calculus (44-XX) 4 Functions of a complex variable (30-XX) 4 Quantum theory (81-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX)

#### Citations contained in zbMATH Open

2,721 Publications have been cited 20,431 times in 7,376 Documents Cited by Year
The radial integration method for evaluation of domain integrals with boundary-only discretization. Zbl 1130.74461
Gao, Xiao-Wei
2002
Heritage and early history of the boundary element method. Zbl 1182.65005
Cheng, Alexander H.-D.; Cheng, Daisy T.
2005
Some recent results and proposals for the use of radial basis functions in the BEM. Zbl 0948.65132
Golberg, M. A.; Chen, C. S.; Bowman, H.
1999
The method of fundamental solutions for scattering and radiation problems. Zbl 1060.76649
Fairweather, Graeme; Karageorghis, Andreas; Martin, P. A.
2003
A fundamental solution method for inverse heat conduction problem. Zbl 1073.80002
Hon, Y. C.; Wei, T.
2004
Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Zbl 1195.65206
Wei, Ting; Hon, Y. C.; Ling, Leevan
2007
Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method. Zbl 1195.65176
Huang, C.-S.; Lee, C.-F.; Cheng, A. H.-D.
2007
Introduction to hierarchical matrices with applications. Zbl 1035.65042
Börm, Steffen; Grasedyck, Lars; Hackbusch, Wolfgang
2003
The method of fundamental solutions for the inverse heat source problem. Zbl 1244.80026
Yan, Liang; Fu, Chu-Li; Yang, Feng-Lian
2008
Solution of potential flow problems by the modified method of fundamental solutions: formulations with the single layer and the double layer fundamental solutions. Zbl 1244.76084
Šarler, Božidar
2009
Some comments on the ill-conditioning of the method of fundamental solutions. Zbl 1187.65136
Chen, C. S.; Cho, Hokwon A.; Golberg, M. A.
2006
Multiquadric and its shape parameter – a numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation. Zbl 1245.65162
Cheng, Alexander H.-D.
2012
The fast multipole boundary element method for potential problems: a tutorial. Zbl 1187.65134
Liu, Y. J.; Nishimura, N.
2006
On the choice of source points in the method of fundamental solutions. Zbl 1244.65216
Alves, Carlos J. S.
2009
The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics. Zbl 1352.65397
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2013
Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method. Zbl 1244.65137
Dehghan, Mehdi; Ghesmati, Arezou
2010
Particular solutions of Laplacian, Helmholtz-type, and polyharmonic operators involving higher order radial basis functions. Zbl 0966.65088
Cheng, A. H.-D.
2000
Results on meshless collocation techniques. Zbl 1195.65177
Ling, Leevan; Opfer, Roland; Schaback, Robert
2006
Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method. Zbl 0995.80010
Sutradhar, Alok; Paulino, Glaucio H.; Gray, L. J.
2002
Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method. Zbl 1003.65133
Ma, Hang; Kamiya, Norio
2002
A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids. Zbl 1062.74639
Pan, Ernian
1999
A random variable shape parameter strategy for radial basis function approximation methods. Zbl 1244.65192
Sarra, Scott A.; Sturgill, Derek
2009
Combination of meshless local weak and strong (MLWS) forms to solve the two-dimensional hyperbolic telegraph equation. Zbl 1244.65147
Dehghan, Mehdi; Ghesmati, Arezou
2010
Time-dependent fundamental solutions for homogeneous diffusion problems. Zbl 1098.76622
Young, D. L.; Tsai, C. C.; Murugesan, K.; Fan, C. M.; Chen, C. W.
2004
A method for solving partial differential equations via radial basis functions: application to the heat equation. Zbl 1244.80024
Tatari, Mehdi; Dehghan, Mehdi
2010
The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation. Zbl 1244.65139
Dehghan, Mehdi; Mirzaei, Davoud
2008
Method of approximate particular solutions for constant- and variable-order fractional diffusion models. Zbl 1403.65087
Fu, Zhuo-Jia; Chen, Wen; Ling, Leevan
2015
A boundary element-free method (BEFM) for two-dimensional potential problems. Zbl 1160.65348
Peng, Miaojuan; Cheng, Yumin
2009
A method of fundamental solutions without fictitious boundary. Zbl 1244.65219
Chen, Wen; Wang, F. Z.
2010
The interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems. Zbl 1352.65539
Ren, Hongping; Cheng, Yumin
2012
Analyzing 2D fracture problems with the improved element-free Galerkin method. Zbl 1244.74240
Zhang, Zan; Liew, K. M.; Cheng, Yumin; Lee, Y. Y.
2008
An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations. Zbl 1403.65082
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
An improved element-free Galerkin method for numerical modeling of the biological population problems. Zbl 1297.65123
Zhang, L. W.; Deng, Y. J.; Liew, K. M.
2014
Numerical solution of fractional telegraph equation by using radial basis functions. Zbl 1287.65085
Hosseini, Vahid Reza; Chen, Wen; Avazzadeh, Zakieh
2014
Localized boundary-domain integral formulations for problems with variable coefficients. Zbl 1016.65097
Mikhailov, S. E.
2002
A new boundary meshfree method with distributed sources. Zbl 1244.65189
Liu, Y. J.
2010
Numerical comparisons of two meshless methods using radial basis functions. Zbl 1003.65132
Li, Jichun; Hon, Y. C.; Chen, C. S.
2002
On approximate cardinal preconditioning methods for solving PDEs with radial basis functions. Zbl 1182.65174
Brown, Damian; Ling, Leevan; Kansa, Edward; Levesley, Jermy
2005
The improved element-free Galerkin method for two-dimensional elastodynamics problems. Zbl 1287.74055
Zhang, Zan; Hao, S. Y.; Liew, K. M.; Cheng, Y. M.
2013
An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals. Zbl 1244.65199
Gao, X. W.; Yang, K.; Wang, J.
2008
Boundary meshfree methods based on the boundary point interpolation methods. Zbl 1130.74466
Liu, G. R.; Gu, Y. T.
2004
A meshless method for generalized linear or nonlinear Poisson-type problems. Zbl 1195.65180
Wang, Hui; Qin, Qing-Hua
2006
A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation. Zbl 1287.65083
Abbasbandy, S.; Roohani Ghehsareh, H.; Hashim, I.
2013
Some remarks concerning the shape of the source contour with application of the method of fundamental solutions to elastic torsion of prismatic rods. Zbl 1272.74623
Gorzelańczyk, Piotr; Kołodziej, Jan A.
2008
BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method. Zbl 1066.80009
Marin, L.; Elliott, L.; Heggs, P. J.; Ingham, D. B.; Lesnic, D.; Wen, X.
2004
A comparison of efficiency and error convergence of multiquadric collocation method and finite element method. Zbl 1044.76050
Li, Jichun; Cheng, Alexander H.-D.; Chen, Ching-Shyang
2003
Meshless local Petrov-Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation. Zbl 1403.65076
Shivanian, E.
2015
Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations. Zbl 1352.65263
2012
An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation. Zbl 1352.65637
Liu, Chein-Shan
2012
Analysis of meshless local radial point interpolation (MLRPI) on a nonlinear partial integro-differential equation arising in population dynamics. Zbl 1287.65091
Shivanian, Elyas
2013
Reconstruction of a time-dependent source term in a time-fractional diffusion equation. Zbl 1351.35267
Wei, T.; Zhang, Z. Q.
2013
An application of fast multipole method to isogeometric boundary element method for Laplace equation in two dimensions. Zbl 1351.74138
Takahashi, Toru; Matsumoto, Toshiro
2012
Radial integration BEM for transient heat conduction problems. Zbl 1267.80017
Yang, Kai; Gao, Xiaowei
2010
The method of fundamental solutions for the inverse space-dependent heat source problem. Zbl 1180.80054
2009
Symmetric boundary knot method. Zbl 1006.65500
Chen, W.
2002
Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions. Zbl 1287.65113
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Fereidouni, F.
2013
Numerical simulation of two-dimensional combustion using mesh-free methods. Zbl 1244.76075
Kansa, Edward J.; Aldredge, Ralph C.; Ling, Leevan
2009
A meshless numerical method based on the local boundary integral equation (LBIE) to solve linear and nonlinear boundary value problems. Zbl 0957.74077
Zhu, Tulong; Zhang, Jindong; Atluri, S. N.
1999
BEM for thermoelasticity and elasticity with body force – a revisit. Zbl 1014.74075
Cheng, A. H.-D.; Chen, C. S.; Golberg, M. A.; Rashed, Y. F.
2001
Minimum stress optimal design with the level set method. Zbl 1244.74104
Allaire, Grégoire; Jouve, François
2008
Three-dimensional fracture propagation with numerical manifold method. Zbl 1403.74091
Yang, Yongtao; Tang, Xuhai; Zheng, Hong; Liu, Quansheng; He, Lei
2016
Inverse heat conduction problems by meshless local Petrov-Galerkin method. Zbl 1195.80020
2006
Coupling of the improved element-free Galerkin and boundary element methods for two-dimensional elasticity problems. Zbl 1244.74204
Zhang, Zan; Liew, K. M.; Cheng, Yumin
2008
On the increasingly flat radial basis function and optimal shape parameter for the solution of elliptic PDEs. Zbl 1244.65183
Huang, C.-S.; Yen, H.-D.; Cheng, A. H.-D.
2010
Towards criteria for selecting approximation functions in the dual reciprocity method. Zbl 0968.65097
Partridge, P. W.
2000
A fast multipole boundary integral equation method for crack problems in 3D. Zbl 0953.74074
Nishimura, Naoshi; Yoshida, Ken-ichi; Kobayashi, Shoichi
1999
Density results using Stokeslets and a method of fundamental solutions for the Stokes equations. Zbl 1079.76058
Alves, C. J. S.; Silvestre, A. L.
2004
Numerical comparison of two meshfree methods for acoustic wave scattering. Zbl 1182.76924
Alves, Carlos J. S.; Valtchev, Svilen S.
2005
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
Analyzing three-dimensional viscoelasticity problems via the improved element-free Galerkin (IEFG) method. Zbl 1297.74153
Peng, M. J.; Li, R. X.; Cheng, Y. M.
2014
An effectively modified direct Trefftz method for 2D potential problems considering the domain’s characteristic length. Zbl 1259.65183
Liu, Chein-Shan
2007
A new spectral meshless radial point interpolation (SMRPI) method: a well-behaved alternative to the meshless weak forms. Zbl 1403.65097
Shivanian, Elyas
2015
Stress analysis in anisotropic functionally graded materials by the MLPG method. Zbl 1182.74258
2005
A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation. Zbl 1244.65188
Liu, Chein-Shan
2008
Numerical analysis of 2-D crack propagation problems using the numerical manifold method. Zbl 1244.74238
Zhang, H. H.; Li, L. X.; An, X. M.; Ma, G. W.
2010
A meshless method for free vibration analysis of circular and rectangular clamped plates using radial basis function. Zbl 1130.74488
Chen, J. T.; Chen, I. L.; Chen, K. H.; Lee, Y. T.; Yeh, Y. T.
2004
A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation. Zbl 1159.76363
Kansa, E. J.; Power, H.; Fasshauer, G. E.; Ling, L.
2004
Generalized finite difference method for solving two-dimensional non-linear obstacle problems. Zbl 1287.74056
Chan, Hsin-Fang; Fan, Chia-Ming; Kuo, Chia-Wen
2013
An alternative method for degenerate scale problems in boundary element methods for the two-dimensional Laplace equation. Zbl 1014.65125
Chen, J. T.; Lee, C. F.; Chen, I. L.; Lin, J. H.
2002
A method of fundamental solutions for transient heat conduction. Zbl 1244.80021
Johansson, B. Tomas; Lesnic, Daniel
2008
Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants. Zbl 0991.65127
Chen, J. T.; Lin, J. H.; Kuo, S. R.; Chiu, Y. P.
2001
Crack growth modeling in elastic solids by the extended meshfree Galerkin radial point interpolation method. Zbl 1297.74108
Nguyen, Nha Thanh; Bui, Tinh Quoc; Zhang, Chuanzeng; Truong, Thien Tich
2014
The method of fundamental solutions for layered elastic materials. Zbl 1008.74081
Berger, J. R.; Karageorghis, A.
2001
The meshless regular hybrid boundary node method for 2D linear elasticity. Zbl 1112.74556
Zhang, Jianming; Yao, Zhenhan; Tanaka, Masataka
2003
Meshless approach for thermo-mechanical analysis of functionally graded materials. Zbl 1244.74234
Wang, Hui; Qin, Qing-Hua
2008
Equivalence between the Trefftz method and the method of fundamental solution for the annular Green’s function using the addition theorem and image concept. Zbl 1244.65217
Chen, Jeng-Tzong; Lee, Ying-Te; Yu, Shang-Ru; Shieh, Shiang-Chih
2009
Boundary element method for the Cauchy problem in linear elasticity. Zbl 1048.74049
Marin, L.; Elliott, L.; Ingham, D. B.; Lesnic, D.
2001
Closed-form integration of singular terms for constant, linear and quadratic boundary elements. I: SH wave propagation. Zbl 0968.74077
Tadeu, A. J. B.; Santos, P. F. A.; Kausel, E.
1999
Regularized meshless method for multiply-connected-domain Laplace problems. Zbl 1195.65200
Chen, K. H.; Kao, J. H.; Chen, J. T.; Young, D. L.; Lu, M. C.
2006
3-D and 2-D dynamic Green’s functions and time-domain bies for piezoelectric solids. Zbl 1182.74053
Wang, C.-Y.; Zhang, Ch.
2005
Development of hybrid boundary node method in two-dimensional elasticity. Zbl 1182.74229
Miao, Y.; Wang, Y. H.; Yu, F.
2005
Boundary knot method for the Cauchy problem associated with the inhomogeneous Helmholtz equation. Zbl 1182.65179
Jin, Bangti; Zheng, Yao
2005
Transient heat conduction in anisotropic and functionally graded media by local integral equations. Zbl 1182.80016
2005
Analytic formulations for calculating nearly singular integrals in two-dimensional BEM. Zbl 1259.74056
Niu, Zhongrong; Cheng, Changzheng; Zhou, Huanlin; Hu, Zongjun
2007
Three-step multi-domain BEM solver for nonhomogeneous material problems. Zbl 1259.74046
Gao, Xiao-Wei; Guo, L.; Zhang, Ch.
2007
Improved element-free Galerkin method for two-dimensional potential problems. Zbl 1244.65179
Zhang, Zan; Zhao, Peng; Liew, K. M.
2009
Error estimation and adaptive mesh refinement in boundary element method, an overview. Zbl 1008.65089
Kita, E.; Kamiya, N.
2001
A numerical computation for inverse boundary determination problem. Zbl 0972.65085
Hon, Y. C.; Wu, Zongmin
2000
Analysis of the inherent instability of the interpolating moving least squares method when using improper polynomial bases. Zbl 1403.65206
Li, Xiaolin; Wang, Qingqing
2016
An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis. Zbl 0940.65139
Karami, G.; Derakhshan, D.
1999
A stable RBF partition of unity local method for elliptic interface problems in two dimensions. Zbl 1464.65202
Gholampour, Faranak; Hesameddini, Esmail; Taleei, Ameneh
2021
Scaled boundary polygon formula for Cosserat continuum and its verification. Zbl 1464.74250
Chen, Kai; Zou, Degao; Tang, Hongxiang; Liu, Jingmao; Zhuo, Yue
2021
Numerical simulation of Rayleigh-Bénard convection and three-phase Rayleigh-Taylor instability using a modified MPS method. Zbl 1464.76136
2021
A hybrid-Trefftz finite element platform for solid and porous elastodynamics. Zbl 1464.74190
Moldovan, Ionut Dragos; Climent, Natàlia; Bendea, Elena Daniela; Cismasiu, Ildi; Gomes Correia, António
2021
General time-dependent Green’s functions of line forces in a two-dimensional, anisotropic, elastic, and infinite solid. Zbl 1464.74409
Pan, Ernian
2021
A model of the time-harmonic torsional response of piled plates using an IBEM-FEM coupling. Zbl 1464.74284
Labaki, Josué; Barros, Pérsio L. A.; Mesquita, Euclides
2021
Wave interaction with multiple wavy porous barriers using dual boundary element method. Zbl 1464.76114
Vijay, K. G.; Nishad, Chandra Shekhar; Neelamani, S.; Sahoo, T.
2021
Isogeometric boundary element method for steady-state heat transfer with concentrated/surface heat sources. Zbl 1464.74347
Zang, Quansheng; Liu, Jun; Ye, Wenbin; Lin, Gao
2021
Three-dimensional analysis of heat conduction in anisotropic composites with thin adhesive/interstitial media by the boundary element method. Zbl 1464.74321
Shiah, Y. C.; Chang, Ray-Yu; Hematiyan, M. R.
2021
A plane stress model of bond-based Cosserat peridynamics and the effects of material parameters on crack patterns. Zbl 1464.74020
Guo, Xianyang; Chen, Zhuang; Chu, Xihua; Wan, Ji
2021
Semi-analytical solution of electromagnetic wave scattering from PEC strip located at the interface of dielectric-TI media. Zbl 1464.78006
Barati, Pouria; Ghalamkari, Behbod
2021
A boundary elements only solution method for 3D micropolar elasticity. Zbl 1464.74312
Pierson, Gaël; Kouitat-Njiwa, Richard; Bravetti, Pierre
2021
Analysis of transient uncoupled thermoelastic problems involving moving point heat sources using the method of fundamental solutions. Zbl 1464.74405
2021
A modification of the method of fundamental solutions for solving 2D problems with concave and complicated domains. Zbl 1464.65265
Dezfouli, N. Koochak; Hematiyan, M. R.; Mohammadi, M.
2021
Comparisons of method of fundamental solutions, method of particular solutions and the MFS-QR; stability analysis. Zbl 1464.65277
Zhang, Li-Ping; Li, Zi-Cai; Huang, Hung-Tsai; Lee, Ming-Gong
2021
On the meshfree particle methods for fluid-structure interaction problems. Zbl 1464.76150
Mazhar, Farrukh; Javed, Ali; Xing, Jing Tang; Shahzad, Aamer; Mansoor, Mohtashim; Maqsood, Adnan; Shah, Syed Irtiza Ali; Asim, Kamran
2021
Short communication: the generalized finite difference method for electroelastic analysis of 2D piezoelectric structures. Zbl 1464.74365
Xia, Hao; Gu, Yan
2021
Vibration analysis of 2D-functionally graded nanobeams using the nonlocal theory and meshless method. Zbl 1464.74381
2021
Penny-shaped crack simulation with a single high order smooth boundary element. Zbl 1464.74276
He, Donghong; Guo, Zhao; Ma, Hang
2021
RI-IGABEM in inhomogeneous heat conduction problems. Zbl 1464.80036
Xu, Chuang; Dong, Chunying
2021
Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations. Zbl 1464.65157
Liu, Shuainan; Li, Po-Wei; Fan, Chia-Ming; Gu, Yan
2021
Multi-block DQM/RBF-DQ as a meshless model for numerical investigation of laminar flow and forced convection in a channel with two circular fins. Zbl 1464.76130
2021
A meshless collocation method based on radial basis functions for free and forced vibration analysis of functionally graded plates using FSDT. Zbl 1464.74372
Hosseini, Shahram; Rahimi, Gholamhossein; Anani, Yavar
2021
Modelling the stability of a soil-rock-mixture slope based on the digital image technology and strength reduction numerical manifold method. Zbl 1464.74115
Yang, Yongtao; Chen, Tao; Wu, Wenan; Zheng, Hong
2021
The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars. Zbl 1464.74362
Albuquerque-Ferreira, A. C.; Ureña, Miguel; Ramos, Higinio
2021
Solving 2D parabolic equations by using time parareal coupling with meshless collocation RBFs methods. Zbl 1464.74421
Zeng, Yan; Duan, Yong; Liu, Bi-Sen
2021
Free vibration of irregular plates via indirect differential quadrature and singular convolution techniques. Zbl 07371615
Ragb, Ola; Matbuly, M. S.; Civalek, Ö.
2021
Explicit edge-based smoothed numerical manifold method for transient dynamic modeling of two-dimensional stationary cracks. Zbl 07371633
Liu, Zhijun; Guan, Zhichun; Zhang, Peng; Sun, Cong; Liu, Feng; Lin, Shan
2021
A field-enriched finite element method for brittle fracture in rocks subjected to mixed mode loading. Zbl 07371643
Zhou, Xiaoping; Jia, Zhiming; Wang, Longfei
2021
Dynamic analysis of functionally graded sandwich beams using a semi-analytic method named scaled boundary finite element method. Zbl 07371660
Liu, Jun; Hao, Congkuan; Zhou, Yang; Ye, Wenbin
2021
An efficient localized meshless technique for approximating nonlinear sinh-Gordon equation arising in surface theory. Zbl 07371668
2021
Simulating fluid-structure interactions with a hybrid immersed smoothed point interpolation method. Zbl 07371673
Wang, Shuangqiang; Zhang, Guiyong; Yan, Boqian; Chen, Yuzhen; Zhang, Zhifan
2021
A semi-Lagrangian meshless framework for numerical solutions of two-dimensional sloshing phenomenon. Zbl 1464.65201
Fu, Zhuo-Jia; Zhang, Jin; Li, Po-Wei; Zheng, Jin-Hai
2020
An overview of the method of fundamental solutions – solvability, uniqueness, convergence, and stability. Zbl 1464.65264
Cheng, Alexander H. D.; Hong, Yongxing
2020
On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using generalized finite differences. Zbl 1464.92004
Benito, J. J.; García, A.; Gavete, L.; Negreanu, M.; Ureña, F.; Vargas, A. M.
2020
A mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous media. Zbl 1464.74219
Wu, Wenan; Yang, Yongtao; Zheng, Hong
2020
The interpolating element-free Galerkin method for three-dimensional elastoplasticity problems. Zbl 1464.74218
Wu, Q.; Liu, F. B.; Cheng, Y. M.
2020
A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation. Zbl 1464.65143
Heydari, M. H.; Hosseininia, M.; Atangana, A.; Avazzadeh, Z.
2020
Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. Zbl 1464.65081
2020
Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics. Zbl 1464.65151
2020
Analyzing 3D advection-diffusion problems by using the dimension splitting element-free Galerkin method. Zbl 1464.65122
Ma, Lidong; Meng, Zhijuan; Chai, Jinfei; Cheng, Yumin
2020
Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 1464.74162
2020
Numerical solution of functionally graded materials based on radial basis reproducing kernel particle method. Zbl 1464.65262
Liu, Zheng; Wei, Gaofeng; Wang, Zhiming
2020
Solving the telegraph equation in 2-d and 3-d using generalized finite difference method (GFDM). Zbl 1464.65093
Ureña, F.; Gavete, L.; Benito, J. J.; García, A.; Vargas, A. M.
2020
A local mesh-less collocation method for solving a class of time-dependent fractional integral equations: 2D fractional evolution equation. Zbl 1464.65153
2020
A size-dependent moving Kriging meshfree model for deformation and free vibration analysis of functionally graded carbon nanotube-reinforced composite nanoplates. Zbl 1464.74075
Thai, Chien H.; Tran, T. D.; Phung-Van, P.
2020
A polytree-based adaptive scheme for modeling linear fracture mechanics using a coupled XFEM-SBFEM approach. Zbl 1464.74181
Huynh, Hai D.; Zhuang, X.; Nguyen-Xuan, H.
2020
Formulations of displacement discontinuity method for crack problems based on boundary element method. Zbl 1464.74357
Zhou, Wei; Liu, Biao; Wang, Qiao; Chang, Xiaolin; Chen, Xudong
2020
Application of the local RBF collocation method to natural convection in a 3D cavity influenced by a magnetic field. Zbl 1464.76133
Mramor, Katarina; Vertnik, Robert; Šarler, Božidar
2020
Free vibration analysis of functionally graded anisotropic microplates using modified strain gradient theory. Zbl 1464.74074
Thai, Chien H.; Ferreira, A. J. M.; Phung-Van, P.
2020
A meshfree approach using naturally stabilized nodal integration for multilayer FG GPLRC complicated plate structures. Zbl 1464.74102
Thai, Chien H.; Phung-Van, P.
2020
On the augmented moving least squares approximation and the localized method of fundamental solutions for anisotropic heat conduction problems. Zbl 1464.65274
Li, Xiaolin; Li, Shuling
2020
A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystals. Zbl 1464.74363
Fu, Zhuo-Jia; Li, Ai-Lun; Zhang, Chuanzeng; Fan, Chia-Ming; Zhuang, Xiao-Ying
2020
Local radial basis function collocation method for Stokes equations with interface conditions. Zbl 1464.76128
2020
Testing the accomplishment of the radial integration method with the direct interpolation boundary element technique for solving Helmholtz problems. Zbl 1464.74245
Campos, Lucas Silveira; Loeffler, Carlos Friedrich; Netto, Fabrício Oliveira; dos Santos, Áquila de Jesus
2020
Isogeometric boundary element analysis for two-dimensional thermoelasticity with variable temperature. Zbl 1464.74267
Fang, Weihua; An, Zhilin; Yu, Tiantang; Bui, Tinh Quoc
2020
An efficient method of approximate particular solutions using polynomial basis functions. Zbl 1464.65228
Deng, Cheng; Zheng, Hui; Fu, Mingfu; Xiong, Jingang; Chen, C. S.
2020
A hybrid generalized interpolated element-free Galerkin method for Stokes problems. Zbl 1464.65187
Wang, Jufeng; Sun, Fengxin
2020
A multi-phase SPH model based on Riemann solvers for simulation of jet breakup. Zbl 1464.76162
Yang, Qiuzu; Xu, Fei; Yang, Yang; Wang, Lu
2020
Assessment of smoothed particle hydrodynamics (SPH) models for predicting wall heat transfer rate at complex boundary. Zbl 1464.76153
Ng, Khai Ching; Ng, Y. L.; Sheu, T. W. H.; Alexiadis, A.
2020
On a generalized Gaussian radial basis function: analysis and applications. Zbl 1464.65013
2020
Analytical solution of electromagnetic scattering by PEMC strip embedded in chiral medium. Zbl 1464.78007
2020
An improved interpolating complex variable element free Galerkin method for the pattern transformation of hydrogel. Zbl 1464.74169
Deng, Yajie; He, Xiaoqiao; Sun, Ligang; Yi, Shenghui; Dai, Ying
2020
The coupled method of multi-domain BEM and element differential method for solving multi-scale problems. Zbl 1464.74355
Zheng, Yong-Tong; Gao, Xiao-Wei; Peng, Hai-Feng; Xu, Bing-Bing
2020
Shape optimization by conventional and extended isogeometric boundary element method with PSO for two-dimensional Helmholtz acoustic problems. Zbl 1464.76188
Mostafa Shaaban, Ahmed; Anitescu, Cosmin; Atroshchenko, Elena; Rabczuk, Timon
2020
Triple reciprocity method for unknown function’s domain integral in boundary integral equation. Zbl 1464.65230
Guo, Shuaiping; Wu, Qiqiang; Li, Hongguang; Gao, Kuidong
2020
A dual interpolation boundary face method for exterior acoustic problems based on the Burton-Miller formulation. Zbl 1464.76119
Zhang, Jianming; Lin, Weicheng; Shu, Xiaomin; Zhong, Yudong
2020
Crack analysis using numerical manifold method with strain smoothing technique and corrected approximation for blending elements. Zbl 1464.74147
Liu, Feng; Zhang, Kaiyu; Xu, Dongdong
2020
Boundary element formulation of axisymmetric problems in vertically non-homogeneous solids subject to normal traction. Zbl 1464.74336
Xiao, Sha; Yue, Zhongqi Quentin
2020
A hybrid meshless method for the solution of the second order hyperbolic telegraph equation in two space dimensions. Zbl 1464.65155
Zhou, Yunxu; Qu, Wenzhen; Gu, Yan; Gao, Hongwei
2020
Mathematical cover refinement of the numerical manifold method for the stability analysis of a soil-rock-mixture slope. Zbl 1464.74419
Yang, Yongtao; Chen, Tao; Zheng, Hong
2020
A meshfree collocation method based on moving Taylor polynomial approximation for high order partial differential equations. Zbl 1464.65216
Wang, Xiaodong; Liu, Ying; Ouyang, Jie
2020
Solving an IBEM with supporting vector analysis to design quiet TMS coils. Zbl 1464.92005
Cobos Sánchez, Clemente; Garcia-Pacheco, Francisco Javier; Guerrero-Rodriguez, Jose Maria; Garcia-Barrachina, Luis
2020
A meshless generalized finite difference method for 2D elasticity problems. Zbl 1464.74364
Hidayat, Mas Irfan P.; Widyastuti; Fajarin, Rindang
2020
A high-order three dimensional numerical manifold method with continuous stress/strain field. Zbl 1464.74420
Yang, Yongtao; Wu, Wenan; Zheng, Hong; Liu, Xuewei
2020
Near singularity cancellation in weakly singular integrals of three-dimensional boundary element method. Zbl 1464.65252
Xie, Guizhong; Zhong, Yudong; Li, Hao; Du, Wenliao; Feng, Shizhe; He, Wenbin; Wang, Liangwen; Dong, Yunqiao; Cheng, Jiahui
2020
Vertical vibration of a rigid circular disc embedded in a transversely isotropic and layered poroelastic half-space. Zbl 1464.74078
Zhang, Zhiqing; Pan, Ernian
2020
Numerical solution of time fractional Tricomi-type equation by an RBF based meshless method. Zbl 1464.65136
Bhardwaj, Akanksha; Kumar, Alpesh
2020
Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method. Zbl 1464.74366
Zhao, Qinghai; Fan, Chia-Ming; Wang, Fajie; Qu, Wenzhen
2020
Iterative dual BEM solution for water wave scattering by breakwaters having perforated thin plates. Zbl 1464.74354
Zhao, Yang; Liu, Yong; Li, Hua-Jun; Chang, An-Teng
2020
Compact local integrated radial basis functions (integrated RBF) method for solving system of non-linear advection-diffusion-reaction equations to prevent the groundwater contamination. Zbl 1464.65139
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa
2020
On the evaluation of highly oscillatory integrals with high frequency. Zbl 1464.65025
2020
Dynamic interaction of a bubble and discontinuous boundaries: a three-dimensional study with the fast multipole boundary element method. Zbl 07153237
Huang, Xiao; Wang, Shiping; Liu, Yunlong; Hu, Haibao
2020
A quasi-consistent integration method for efficient meshfree analysis of Helmholtz problems with plane wave basis functions. Zbl 1464.78014
Wang, Jiarui; Wu, Junchao; Wang, Dongdong
2020
On the use of radial point interpolation method (RPIM) in a high order continuation for the resolution of the geometrically nonlinear elasticity problems. Zbl 1464.74370
Askour, Omar; Mesmoudi, Said; Braikat, Bouazza
2020
Implicit surface reconstruction with radial basis functions via PDEs. Zbl 1464.65237
Liu, Xiao-Yan; Wang, Hui; Chen, C. S.; Wang, Qing; Zhou, Xiaoshuang; Wang, Yong
2020
Comparative study on ship motions in waves based on two time domain boundary element methods. Zbl 1464.76101
Mei, Tian-Long; Zhang, Teng; Candries, Maxim; Lataire, Evert; Zou, Zao-Jian
2020
A rational approximation method for solving acoustic nonlinear eigenvalue problems. Zbl 1464.76086
El-Guide, Mohamed; Miȩdlar, Agnieszka; Saad, Yousef
2020
A nesting cell-based smoothed radial point interpolation method with two-level smoothed strains for static, free and forced vibration analysis of solids. Zbl 1464.74197
Pu, Nana; Ji, Le; Ma, Wentao
2020
Meshfree investigation of the vibrational behavior of pre-stressed laminated composite plates based on a variationally consistent plate model. Zbl 1464.74104
Zarei, A.; Khosravifard, A.
2020
Influence of geometry and material on the stress intensity of an interfacial crack propagating from a bi-material notch. Zbl 1464.74166
Cheng, Changzheng; Pan, Wei; Huang, Yifan; Sun, Jialin; Niu, Zhongrong
2020
Hybrid model of peridynamics and finite element method for static elastic deformation and brittle fracture analysis. Zbl 1464.74203
Shen, Feng; Yu, Yangtian; Zhang, Qing; Gu, Xin
2020
A local mesh free numerical method with automatic parameter optimization. Zbl 1464.90106
Santana, E.; Oliveira, T.; Vélez, W.; Araújo, A.; Martins, F.; Portela, A.
2020
Application of fast multipole boundary element method for two-dimensional nonlinear interface debonding of particulate composites. Zbl 1464.74335
Wu, Zhipeng; Lin, Qinye; Chen, Yongqiang
2020
Two-dimensional Stokes flows in porous medium composed of a large number of circular inclusions. Zbl 1464.76099
Mardanov, R. F.; Zaripov, Shamil K.; Maklakov, D. V.
2020
Nonlinear BEM/FEM scalar potential formulation for magnetostatic analysis in superconducting accelerator magnets. Zbl 1464.78022
Rodopoulos, Dimitrios C.; Gortsas, Theodore V.; Tsinopoulos, Stephanos V.; Polyzos, Demosthenes
2020
Single lap joint strength prediction using the radial point interpolation method and the critical longitudinal strain criterion. Zbl 1464.74129
Ramalho, L. D. C.; Campilho, Raul D. S. G.; Belinha, J.
2020
A new approach for physically nonlinear analysis of continuum damage mechanics problems using the generalized/extended finite element method with global-local enrichment. Zbl 1464.74192
Monteiro, H. A. S.; Novelli, L.; Fonseca, G. M.; Pitangueira, R. L. S.; Barros, F. B.
2020
The localized radial basis functions for parameterized level set based structural optimization. Zbl 1464.65017
Siraj-ul-Islam; Khan, Wajid; Ullah, Baseer; Ullah, Zahur
2020
Equivalent-PDE based stabilization of strong-form meshless methods applied to advection-dominated problems. Zbl 1464.76132
Mavrič, Boštjan; Šarler, Božidar
2020
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