## 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: 3,732 Publications (since 1998) References Indexed: 3,639 Publications with 125,884 References.
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### Latest Issues

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### Authors

 42 Gao, Xiaowei 41 Zhang, Jianming 39 Tadeu, António J. B. 39 Zhang, Chuanzeng 38 Dehghan Takht Fooladi, Mehdi 37 Chen, Wen 36 Sladek, Jan 36 Sladek, Vladimir 35 Chen, Jeng-Tzong 35 Liu, Gui-Rong 34 Mansur, Webe Joao 33 Li, Zi-Cai 33 Šarler, Božidar 32 Power, Henry 29 Poljak, Dragan 29 Wen, Pihua 28 Fan, Chia-Ming 28 Hon, Yiu-Chung 27 Li, Xiaolin 27 Ravnik, Jure 27 Zheng, Hong 25 Ferri Aliabadi, Mohammad Hossien 25 Chen, Ching-Shyang 25 Gu, Yan 25 Liu, Chein-Shan 25 Rashed, Youssef F. 24 Kassab, Alain J. 24 Lesnic, Daniel 23 Godinho, Luís M. C. 23 Li, Guangyao 22 Liew, Kim Meow 21 Ingham, Derek Binns 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 Abbaszadeh, Mostafa 18 Carrer, José Antonio Marques 18 Cheng, Alexander H.-D. 18 Huang, Hung-Tsai 18 Liang, Jianwen 18 Xie, Guizhong 17 Fu, Zhuojia 17 Mukherjee, Subrata 17 Qin, Qinghua 16 Belinha, Jorge 16 Brebbia, Carlos Alberto 16 Hematiyan, Mohammad Rahim 16 Lee, Ming-Gong 16 Liu, Zhongxian 16 Loeffler, Carlos Friedrich 16 Ma, Hang 16 Marin, Liviu 16 Ochiai, Yoshihiro 16 Pozrikidis, Constantine 15 Domínguez, José 15 Hriberšek, Matjaž 15 Lei, Jun 15 Lin, Gao 15 Matsumoto, Toshiro 15 Mogilevskaya, Sofia G. 15 Venturini, Wilson Sergio 15 Yang, Kai 14 Eldho, T. I. 14 Gray, Leonard J. 14 Kamiya, Norio 14 Leonel, Edson Denner 14 Manolis, George D. 14 Pan, Ernian 14 Soares, Delfim jun. 14 Trevelyan, Jon 13 Abbasbandy, Saeid 13 António, Julieta M. P. 13 Bui, Tinh Quoc 13 Hwu, Chyanbin 13 Lin, Ji 13 Ling, Leevan 13 Liu, Yijun 13 París, Federico 13 Popov, Viktor 13 Škerget, Leopold 13 Yao, Zhenhan 12 Ang, Wei Tech 12 Ba, Zhenning 12 de Paiva, João Batista 12 Fan, CuiYing 12 Lee, Ying-Te 12 Lv, Jiahe 12 Mai-Duy, Nam 12 Niu, Zhongrong 12 Peng, Haifeng 12 Santiago, J. A. F. 12 Shivanian, Elyas 12 Zhang, GuiYong 12 Zhou, Fenglin ...and 4,473 more Authors
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### Fields

 2,260 Numerical analysis (65-XX) 1,836 Mechanics of deformable solids (74-XX) 950 Fluid mechanics (76-XX) 302 Classical thermodynamics, heat transfer (80-XX) 259 Partial differential equations (35-XX) 220 Optics, electromagnetic theory (78-XX) 102 Biology and other natural sciences (92-XX) 79 Geophysics (86-XX) 47 Statistical mechanics, structure of matter (82-XX) 44 Integral equations (45-XX) 25 Operations research, mathematical programming (90-XX) 20 History and biography (01-XX) 19 General and overarching topics; collections (00-XX) 17 Approximations and expansions (41-XX) 17 Quantum theory (81-XX) 16 Probability theory and stochastic processes (60-XX) 13 Computer science (68-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Mechanics of particles and systems (70-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Potential theory (31-XX) 6 Integral transforms, operational calculus (44-XX) 6 Information and communication theory, circuits (94-XX) 5 Systems theory; control (93-XX) 4 Functions of a complex variable (30-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX)

### Citations contained in zbMATH Open

2,964 Publications have been cited 23,281 times in 8,482 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
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2003
A fundamental solution method for inverse heat conduction problem. Zbl 1073.80002
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2004
Introduction to hierarchical matrices with applications. Zbl 1035.65042
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2003
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
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
The method of fundamental solutions for the inverse heat source problem. Zbl 1244.80026
Yan, Liang; Fu, Chu-Li; Yang, Feng-Lian
2008
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 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
On the choice of source points in the method of fundamental solutions. Zbl 1244.65216
Alves, Carlos J. S.
2009
The fast multipole boundary element method for potential problems: a tutorial. Zbl 1187.65134
Liu, Y. J.; Nishimura, N.
2006
Particular solutions of Laplacian, Helmholtz-type, and polyharmonic operators involving higher order radial basis functions. Zbl 0966.65088
Cheng, A. H.-D.
2000
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
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
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
A method of fundamental solutions without fictitious boundary. Zbl 1244.65219
Chen, Wen; Wang, F. Z.
2010
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
The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation. Zbl 1244.65139
Dehghan, Mehdi; Mirzaei, Davoud
2008
A random variable shape parameter strategy for radial basis function approximation methods. Zbl 1244.65192
Sarra, Scott A.; Sturgill, Derek
2009
A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids. Zbl 1062.74639
Pan, Ernian
1999
Method of approximate particular solutions for constant- and variable-order fractional diffusion models. Zbl 1403.65087
Fu, Zhuo-Jia; Chen, Wen; Ling, Leevan
2015
Numerical solution of fractional telegraph equation by using radial basis functions. Zbl 1287.65085
Hosseini, Vahid Reza; Chen, Wen; Avazzadeh, Zakieh
2014
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 interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems. Zbl 1352.65539
Ren, Hongping; Cheng, Yumin
2012
Localized boundary-domain integral formulations for problems with variable coefficients. Zbl 1016.65097
Mikhailov, S. E.
2002
A boundary element-free method (BEFM) for two-dimensional potential problems. Zbl 1160.65348
Peng, Miaojuan; Cheng, Yumin
2009
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
A new boundary meshfree method with distributed sources. Zbl 1244.65189
Liu, Y. J.
2010
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
Meshless local Petrov-Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation. Zbl 1403.65076
Shivanian, E.
2015
Numerical comparisons of two meshless methods using radial basis functions. Zbl 1003.65132
Li, Jichun; Hon, Y. C.; Chen, C. S.
2002
A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation. Zbl 1287.65083
Abbasbandy, S.; Roohani Ghehsareh, H.; Hashim, I.
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
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
Three-dimensional fracture propagation with numerical manifold method. Zbl 1403.74091
Yang, Yongtao; Tang, Xuhai; Zheng, Hong; Liu, Quansheng; He, Lei
2016
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
Reconstruction of a time-dependent source term in a time-fractional diffusion equation. Zbl 1351.35267
Wei, T.; Zhang, Z. Q.
2013
On approximate cardinal preconditioning methods for solving PDEs with radial basis functions. Zbl 1182.65174
Brown, Damian; Ling, Leevan; Kansa, Edward; Levesley, Jermy
2005
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
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
A meshless method for generalized linear or nonlinear Poisson-type problems. Zbl 1195.65180
Wang, Hui; Qin, Qing-Hua
2006
Boundary meshfree methods based on the boundary point interpolation methods. Zbl 1130.74466
Liu, G. R.; Gu, Y. T.
2004
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
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
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
Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations. Zbl 1352.65263
Shirzadi, Ahmad; Ling, Leevan; Abbasbandy, Saeid
2012
Minimum stress optimal design with the level set method. Zbl 1244.74104
Allaire, Grégoire; Jouve, François
2008
Radial integration BEM for transient heat conduction problems. Zbl 1267.80017
Yang, Kai; Gao, Xiaowei
2010
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
Symmetric boundary knot method. Zbl 1006.65500
Chen, W.
2002
A new spectral meshless radial point interpolation (SMRPI) method: a well-behaved alternative to the meshless weak forms. Zbl 1403.65097
Shivanian, Elyas
2015
The method of fundamental solutions for the inverse space-dependent heat source problem. Zbl 1180.80054
Ahmadabadi, M. Nili; Arab, M.; Ghaini, F. M. Maalek
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
Numerical simulation of two-dimensional combustion using mesh-free methods. Zbl 1244.76075
Kansa, Edward J.; Aldredge, Ralph C.; Ling, Leevan
2009
Inverse heat conduction problems by meshless local Petrov-Galerkin method. Zbl 1195.80020
Sladek, J.; Sladek, V.; Hon, Y. C.
2006
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
Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 1464.65267
Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R.
2019
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
A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation. Zbl 1244.65188
Liu, Chein-Shan
2008
Explicit empirical formula evaluating original intensity factors of singular boundary method for potential and Helmholtz problems. Zbl 1403.65204
Li, Junpu; Chen, Wen; Fu, Zhuojia; Sun, Linlin
2016
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
Numerical comparison of two meshfree methods for acoustic wave scattering. Zbl 1182.76924
Alves, Carlos J. S.; Valtchev, Svilen S.
2005
Stress analysis in anisotropic functionally graded materials by the MLPG method. Zbl 1182.74258
Sladek, J.; Sladek, V.; Zhang, Ch.
2005
A fast multipole boundary integral equation method for crack problems in 3D. Zbl 0953.74074
Nishimura, Naoshi; Yoshida, Ken-ichi; Kobayashi, Shoichi
1999
Towards criteria for selecting approximation functions in the dual reciprocity method. Zbl 0968.65097
Partridge, P. W.
2000
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
A method of fundamental solutions for transient heat conduction. Zbl 1244.80021
Johansson, B. Tomas; Lesnic, Daniel
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
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
The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations. Zbl 1403.74285
Dehghan, Mehdi; Abbaszadeh, Mostafa
2017
An effectively modified direct Trefftz method for 2D potential problems considering the domain’s characteristic length. Zbl 1259.65183
Liu, Chein-Shan
2007
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
The method of fundamental solutions for layered elastic materials. Zbl 1008.74081
Berger, J. R.; Karageorghis, A.
2001
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
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
Meshless approach for thermo-mechanical analysis of functionally graded materials. Zbl 1244.74234
Wang, Hui; Qin, Qing-Hua
2008
Generalized finite difference method for two-dimensional shallow water equations. Zbl 1403.76133
Li, Po-Wei; Fan, Chia-Ming
2017
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 efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis. Zbl 0940.65139
Karami, G.; Derakhshan, D.
1999
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
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
The numerical solution of Cahn-Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods. Zbl 1403.65085
Dehghan, Mehdi; Mohammadi, Vahid
2015
A simple accurate formula evaluating origin intensity factor in singular boundary method for two-dimensional potential problems with Dirichlet boundary. Zbl 1403.65263
Wei, Xing; Chen, Wen; Sun, Linlin; Chen, Bin
2015
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 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
Reformulation of dynamic crack propagation using the numerical manifold method. Zbl 1464.74230
Zheng, Hong; Yang, Yongtao; Shi, Genhua
2019
Boundary element method for the Cauchy problem in linear elasticity. Zbl 1048.74049
Marin, L.; Elliott, L.; Ingham, D. B.; Lesnic, D.
2001
A local integral equation formulation to solve coupled nonlinear reaction-diffusion equations by using moving least square approximation. Zbl 1352.65372
Shirzadi, Ahmad; Sladek, Vladimir; Sladek, Jan
2013
A comparison of three explicit local meshless methods using radial basis functions. Zbl 1259.65155
Yao, Guangming; Šarler, Bozidar; Chen, C. S.
2011
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
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
Generalized higher order layerwise theory for the dynamic study of anisotropic doubly-curved shells with a mapped geometry. Zbl 07440006
Tornabene, Francesco; Viscoti, Matteo; Dimitri, Rossana
2022
On the analytical and meshless numerical approaches to mixture stress gradient functionally graded nano-bar in tension. Zbl 07440031
Faghidian, S. Ali; Żur, Krzysztof Kamil; Pan, Ernian; Kim, Jinseok
2022
Application of the Chebyshev-Ritz route in determination of the dynamic instability region boundary for rotating nanocomposite beams reinforced with graphene platelet subjected to a temperature increment. Zbl 07511118
Yang, Nan; Moradi, Zohre; Khadimallah, Mohamed Amine; Arvin, Hadi
2022
Finite element method for stress-driven nonlocal beams. Zbl 07439997
Pinnola, Francesco Paolo; Vaccaro, Marzia Sara; Barretta, Raffaele; Marotti de Sciarra, Francesco
2022
Analytical and meshless DQM approaches to free vibration analysis of symmetric FGM porous nanobeams with piezoelectric effect. Zbl 07496047
Jankowski, Piotr; Żur, Krzysztof Kamil; Farajpour, Ali
2022
Bi-material topology optimization for fully coupled structural-acoustic systems with isogeometric FEM-BEM. Zbl 07496063
Chen, L. L.; Lian, H.; Liu, Z.; Gong, Y.; Zheng, C. J.; Bordas, S. P. A.
2022
An SPH-based fully-Lagrangian meshfree implicit FSI solver with high-order discretization terms. Zbl 07511073
Shimizu, Yuma; Khayyer, Abbas; Gotoh, Hitoshi
2022
Te-GDQE implementation to investigate the vibration of FG composite conical shells considering a frequency controller solid ring. Zbl 07511081
Dong, Yun; Gao, Yanan; Zhu, Qianying; Moradi, Zohre; Safa, Maryam
2022
Machine learning to approximate free-surface Green’s function and its application in wave-body interactions. Zbl 07439998
Huang, Shan; Zhu, Renchuan; Chang, Hongyu; Wang, Hui; Yu, Yun
2022
A selective smoothed finite element method for 3D explicit dynamic analysis of the human annulus fibrosus with modified composite-based constitutive model. Zbl 07439999
Yan, Xue; Wan, Detao; Hu, Dean; Han, Xu; Liu, G. R.
2022
A coupled fictitious stress method and eshelby inclusions as a meshless technique for inhomogeneity problems. Zbl 07440004
Kamal, M. A.; Rashed, Youssef F.
2022
A novel scaled boundary finite element method for dynamic impedance of an arch dam foundation in a complex layered half-space. Zbl 07440007
Li, Zhi-yuan; Hu, Zhi-qiang; Hong, Zhong; Lin, Gao
2022
A new meshfree approach for three-dimensional free vibration analysis of thick laminated doubly-shell of revolution. Zbl 07440008
Kwak, Songhun; Kim, Kwanghun; Pyon, Supong; Li, Yonghua; Ri, Changgun
2022
On the snap-through buckling analysis of electrostatic shallow arch micro-actuator via meshless Galerkin decomposition technique. Zbl 07440019
Ouakad, Hassen M.; Kamil Żur, Krzysztof
2022
A local collocation method with radial basis functions for an electrospinning problem. Zbl 07440020
Florez, W. F.; Popov, V.; Gaviria-Cardona, J. P.; Bustamante, C. A.; Martínez-Tejada, H. V.; Garcia-Tamayo, E.
2022
Multilevel Monte Carlo method for topology optimization of flexoelectric composites with uncertain material properties. Zbl 07440021
Hamdia, Khader M.; Ghasemi, Hamid; Zhuang, Xiaoying; Rabczuk, Timon
2022
On the rectangular mesh and the decomposition of a Green’s-function-based quadruple integral into elementary integrals. Zbl 07440022
De Lauretis, Maria; Haller, Elena; Di Murro, Francesca; Romano, Daniele; Antonini, Giulio; Ekman, Jonas; Kovačević-Badstübner, Ivana; Grossner, Ulrike
2022
A finite point method for the fractional cable equation using meshless smoothed gradients. Zbl 07440024
Li, Xiaolin; Li, Shuling
2022
On the static analysis of inhomogeneous magneto-electro-elastic plates in thermal environment via element-free Galerkin method. Zbl 07440029
Zhou, Liming; Yang, Hao; Ma, Long; Zhang, Shizhong; Li, Xiaoying; Ren, Shuhui; Li, Ming
2022
Simulation of plane elastostatic equations of anisotropic functionally graded materials by integrated radial basis function based on finite difference approach. Zbl 07440030
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa
2022
Pounding mitigation of a short-span cable-stayed bridge using a new hybrid passive control system. Zbl 07440035
Javanmardi, Ahad; Ghaedi, Khaled; Ibrahim, Zainah; Huang, Fuyun; Kuczma, Mieczysław; Tabrizikahou, Alireza; Mohammad-Sedighi, Hamid
2022
Groundwater flow simulation in a confined aquifer using local radial point interpolation meshless method (LRPIM). Zbl 07440036
Swetha, K.; Eldho, T. I.; Singh, L. Guneshwor; Kumar, A. Vinod
2022
Simulation of electromagnetic wave propagations in negative index materials by the localized RBF-collocation method. Zbl 07496042
Zheng, Hui; Fan, Zhuowan; Li, Jichun
2022
Numerical investigation of the effects of fracturing fluid parameters on hydraulic fracture propagation in jointed rock mass based on peridynamics. Zbl 07496053
Qin, Mingqi; Yang, Diansen; Chen, Weizhong
2022
A three-dimensional indirect boundary integral equation method for the scattering of seismic waves in a poroelastic layered half-space. Zbl 07496062
Huang, Lei; Liu, Zhongxian; Wu, Chengqing; Liang, Jianwen; Pei, Qiang
2022
Nonlocal-integro-surface energy-vibro analysis of twist in coaxially composite wire-like nanostructures with internal and interfacial defects via a meshless technique. Zbl 07496066
Kiani, Keivan
2022
An upwind generalized finite difference method for meshless solution of two-phase porous flow equations. Zbl 07511069
Rao, Xiang; Liu, Yina; Zhao, Hui
2022
A 2D discrete moisture diffusion model for simulating desiccation fracturing of soil. Zbl 07511078
Yan, Chengzeng; Luo, Zhiqiang; Zheng, Yucheng; Ke, Wenhui
2022
SARS-CoV-2 rate of spread in and across tissue, groundwater and soil: a meshless algorithm for the fractional diffusion equation. Zbl 07511082
Bavi, O.; Hosseininia, M.; Heydari, M. H.; Bavi, N.
2022
Coupled particle and mesh method in an Euler frame for unsteady flows around the pitching airfoil. Zbl 07511086
Huang, C.; Zhao, L.; Niu, J. P.; Di, J. J.; Yuan, J. J.; Zhao, Q. L.; Zhang, F. Q.; Zhang, Z. H.; Lei, J. M.; He, G. P.
2022
An efficient localized meshless technique for approximating nonlinear sinh-Gordon equation arising in surface theory. Zbl 07371668
Nikan, O.; Avazzadeh, Z.
2021
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
Vibration analysis of 2D-functionally graded nanobeams using the nonlocal theory and meshless method. Zbl 1464.74381
Ahmadi, Isa
2021
Analytical and meshless numerical approaches to unified gradient elasticity theory. Zbl 07371666
Kamil Żur, Krzysztof; Faghidian, S. Ali
2021
A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique. Zbl 07390972
Li, Po-Wei; Fan, Chia-Ming; Grabski, Jakub Krzysztof
2021
Numerical simulation of Rayleigh-Bénard convection and three-phase Rayleigh-Taylor instability using a modified MPS method. Zbl 1464.76136
Garoosi, Faroogh; Shakibaeinia, Ahmad
2021
A cell-based smoothed finite element method stabilized by implicit SUPG/SPGP/fractional step method for incompressible flow. Zbl 1464.76056
Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen
2021
RI-IGABEM in inhomogeneous heat conduction problems. Zbl 1464.80036
Xu, Chuang; Dong, Chunying
2021
On the dynamics of rotating matrix cracked FG-GPLRC cylindrical shells via the element-free IMLS-Ritz method. Zbl 07390977
Guo, Hulun; Du, Xuelin; Żur, Krzysztof Kamil
2021
A cell-based smoothed finite element method (CS-FEM) for three-dimensional incompressible laminar flows using mixed wedge-hexahedral element. Zbl 07439983
Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen; Liu, Guirong
2021
Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems. Zbl 1464.74401
Liu, Q. G.; Fan, C. M.; Šarler, B.
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
Scaled boundary polygon formula for Cosserat continuum and its verification. Zbl 1464.74250
Chen, Kai; Zou, Degao; Tang, Hongxiang; Liu, Jingmao; Zhuo, Yue
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
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
Short communication: the generalized finite difference method for electroelastic analysis of 2D piezoelectric structures. Zbl 1464.74365
Xia, Hao; Gu, Yan
2021
Dynamic and static isogeometric analysis for laminated Timoshenko curved microbeams. Zbl 07371617
Hu, Huifeng; Yu, Tiantang; Lich, Le Van; Bui, Tinh Quoc
2021
A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations. Zbl 07371639
Oruç, Ömer
2021
An efficient local meshless method for the equal width equation in fluid mechanics. Zbl 07390979
Rasoulizadeh, M. N.; Ebadi, M. J.; Avazzadeh, Z.; Nikan, O.
2021
A generalized finite difference method for solving Stokes interface problems. Zbl 07390986
Shao, Mengru; Song, Lina; Li, Po-Wei
2021
A trustable shape parameter in the kernel-based collocation method with application to pricing financial options. Zbl 1464.91076
Shirzadi, Mohammad; Dehghan, Mehdi; Bastani, Ali Foroush
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
Determination of critical slip surface and safety factor of slope using the vector sum numerical manifold method and MAX-MIN ant colony optimization algorithm. Zbl 1464.74223
Yang, Yongtao; Wu, Wenan; Zhang, Jianhai; Zheng, Hong; Xu, Dongdong
2021
Analysis of transient uncoupled thermoelastic problems involving moving point heat sources using the method of fundamental solutions. Zbl 1464.74405
Mohammadi, M.; Hematiyan, M. R.
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
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
Free vibration of irregular plates via indirect differential quadrature and singular convolution techniques. Zbl 07371615
Ragb, Ola; Matbuly, M. S.; Civalek, Ö.
2021
Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains. Zbl 07371641
Wang, Fajie; Chen, Zengtao; Li, Po-Wei; Fan, Chia-Ming
2021
Approximation of Cauchy-type singular integrals with high frequency Fourier kernel. Zbl 07371664
Khan, Suliman; Zaman, Sakhi; -Islam, Siraj-ul
2021
Higher order schemes introduced to the meshless FDM in elliptic problems. Zbl 07390969
Milewski, Sławomir
2021
Meshless numerical approach to flutter analysis of rotating pre-twisted nanocomposite blades subjected to supersonic airflow. Zbl 07390983
Guo, Hulun; Ouyang, Xu; Żur, Krzysztof Kamil; Wu, Xintao
2021
A stabilized collocation method based on the efficient gradient reproducing kernel approximations for the boundary value problems. Zbl 07391015
Liu, Yijia; Wang, Lihua; Zhou, Yueting; Yang, Fan
2021
Hydro-mechanical coupled $$B$$-spline material point method for large deformation simulation of saturated soils. Zbl 07439987
Sun, Zheng; Liu, Kai; Wang, Jinglei; Zhou, Xiaomin
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
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
Solving phase change problems via a precise time-domain expanding boundary element method combined with the level set method. Zbl 1464.80035
Wang, Zihao; Yao, Weian; Zuo, Chong; Hu, Xiaofei
2021
Peridynamics for geometrically nonlinear analysis of three-dimensional beam structures. Zbl 1464.74021
Nguyen, Cong Tien; Oterkus, Selda
2021
On the path independence and invariant of the J-integral for a slant crack and rigid-line inclusion using degenerate kernels and the dual BEM. Zbl 1464.74249
Chen, Jeng-Tzong; Kao, Jeng-Hong; Kao, Shing-Kai; Huang, Yi-Ling; Chou, Yen-Ting
2021
A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation. Zbl 1464.65121
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z.
2021
A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation. Zbl 1464.65144
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M.
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
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
Stochastic-deterministic boundary element modelling of transcranial electric stimulation using a three layer head model. Zbl 1464.92007
Šušnjara, Anna; Verhnjak, Ožbej; Poljak, Dragan; Cvetković, Mario; Ravnik, Jure
2021
A boundary elements only solution method for 3D micropolar elasticity. Zbl 1464.74312
Pierson, Gaël; Kouitat-Njiwa, Richard; Bravetti, Pierre
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
Combined shape and topology optimization for sound barrier by using the isogeometric boundary element method. Zbl 1464.76091
Jiang, Fuhang; Zhao, Wenchang; Chen, Leilei; Zheng, Changjun; Chen, Haibo
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
Characterization and integration of the singular test integrals in the method-of-moments implementation of the electric-field integral equation. Zbl 1464.78017
Freno, Brian A.; Johnson, William A.; Zinser, Brian F.; Wilton, Donald R.; Vipiana, Francesca; Campione, Salvatore
2021
Penny-shaped crack simulation with a single high order smooth boundary element. Zbl 1464.74276
He, Donghong; Guo, Zhao; Ma, Hang
2021
The inclusion-based boundary element method (iBEM) for virtual experiments of elastic composites. Zbl 1464.74334
Wu, Chunlin; Yin, Huiming
2021
A coupled finite element-meshfree smoothed point interpolation method for nonlinear analysis. Zbl 07371610
Saliba, Samir Silva; Gori, Lapo; da Silva Pitangueira, Roque Luiz
2021
Semi-analytical solution of electromagnetic scattering of a slit in PEC plane located in TI medium. Zbl 07371612
Barati, Pouria; Ghalamkari, Behbod
2021
Hybrid method of space-time and Houbolt methods for solving linear time-dependent problems. Zbl 07371614
Cao, Y. H.; Kuo, L. H.
2021
Mechanical models and numerical simulations in nanomechanics: a review across the scales. Zbl 07371621
Manolis, George D.; Dineva, Petia S.; Rangelov, Tsviatko; Sfyris, Dimitris
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
An enriched finite element method with interpolation cover functions for acoustic analysis in high frequencies. Zbl 07371640
Wu, F.; Zhou, G.; Gu, Q. Y.; Chai, Y. B.
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
Numerical approximation of time-dependent fractional convection-diffusion-wave equation by RBF-FD method. Zbl 07371646
Zhang, Xindong; Yao, Lin
2021
BEM modeling and experiment verification for thermoacoustic response of suspended nano thin films. Zbl 07371647
Zhou, Zhenhuan; Li, Houyang; Wang, Jinxin; Rong, Dalun; Xu, Xinsheng; Lim, C. W.
2021
Improved geometric modeling using the method of fundamental solutions. Zbl 07371651
Chen, C. S.; Amuzu, Lionel; Acheampong, Kwesi; Zhu, Huiqing
2021
A nonlocal strain gradient isogeometric nonlinear analysis of nanoporous metal foam plates. Zbl 07371652
Phung-Van, P.; Ferreira, A. J. M.; Nguyen-Xuan, H.; Thai, Chien H.
2021
A boundary weak singularity elimination method for multilayer structures. Zbl 07371653
Zhong, Yudong; Xie, Guizhong; Hou, Junjian; He, Wenbin; Wang, Liangwen; Wang, Shuguang
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
Singularity problems from source functions as source nodes located near boundaries; numerical methods and removal techniques. Zbl 07371670
Zhang, Li-Ping; Li, Zi-Cai; Huang, Hung-Tsai; Lee, Ming-Gong
2021
Improving stability of moving particle semi-implicit method by source terms based on time-scale correction of particle-level impulses. Zbl 07390970
Cheng, Liang-Yee; Augusto Amaro Junior, Rubens; Henrique Favero, Eric
2021
IGABEM of 2D and 3D liquid inclusions. Zbl 07390985
Dai, Rui; Dong, Chunying; Xu, Chuang; Sun, Deyong
2021
Nonlinear dynamic analysis of FG carbon nanotube/epoxy nanocomposite cylinder with large strains assuming particle/matrix interphase using MLPG method. Zbl 07390991
Kazemi, Majid; Rad, Mohammad Hossein Ghadiri; Hosseini, Seyed Mahmoud
2021
A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate. Zbl 07390993
Wang, BingBing; Lu, Chunsheng; Fan, CuiYing; Zhao, MingHao
2021
Analysis of Timoshenko-Ehrenfest beam problems using the theory of functional connections. Zbl 07391001
Yassopoulos, Christopher; Leake, Carl; Reddy, J. N.; Mortari, Daniele
2021
The meshless local Petrov-Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials related to incompressible flow. Zbl 07391017
Abbaszadeh, Mostafa; Dehghan, Mehdi; Azis, Mohammad Ivan
2021
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### Cited by 9,767 Authors

 167 Dehghan Takht Fooladi, Mehdi 90 Zhang, Chuanzeng 72 Li, Xiaolin 71 Chen, Wen 66 Lesnic, Daniel 63 Chen, Jeng-Tzong 62 Chen, Ching-Shyang 62 Liu, Chein-Shan 60 Abbaszadeh, Mostafa 59 Sladek, Jan 59 Sladek, Vladimir 58 Gu, Yan 58 Karageorghis, Andreas 56 Gao, Xiaowei 56 Li, Zi-Cai 56 Liu, Gui-Rong 52 Fu, Zhuojia 52 Liew, Kim Meow 51 Tadeu, António J. B. 48 Lin, Ji 47 Qin, Qinghua 47 Šarler, Božidar 47 Siraj-ul-Islam 46 Zhang, Jianming 45 Fan, Chia-Ming 45 Marin, Liviu 45 Zheng, Hong 43 Power, Henry 42 Wen, Pihua 40 Soares, Delfim jun. 39 Chen, Yizhou 39 Ling, Leevan 38 Hon, Yiu-Chung 37 Mansur, Webe Joao 37 Ravnik, Jure 36 Shivanian, Elyas 36 Wang, Fajie 35 Avazzadeh, Zakieh 33 Heydari, Mohammad Hossien 33 Huang, Hung-Tsai 31 Godinho, Luís M. C. 31 Yang, Yongtao 30 Bui, Tinh Quoc 30 Johansson, B. Tomas 30 Zhao, Minghao 29 Abbasbandy, Saeid 29 Li, Guangyao 29 Poljak, Dragan 29 Praetorius, Dirk 29 Yang, Fan 28 Ferri Aliabadi, Mohammad Hossien 26 Qu, Wenzhen 26 Trevelyan, Jon 26 Zhang, Lu-Wen 25 Cheng, Alexander H.-D. 25 Lee, Ming-Gong 24 Hematiyan, Mohammad Rahim 24 Lin, Gao 24 Ma, Hang 24 Rabczuk, Timon 23 Belinha, Jorge 23 Cui, Xiangyang 23 Dineva, Petia S. 23 Fu, Chuli 23 Mikhailov, Sergey E. 23 Rashed, Youssef F. 23 Song, Chongmin 23 Wrobel, Luiz Carlos 23 Xie, Guizhong 22 Desmet, Wim 22 Ingham, Derek Binns 22 Li, Xiaoxiao 22 Mai-Duy, Nam 22 Tezer-Sezgin, Munevver 22 Yang, Kai 21 Fan, CuiYing 21 Mogilevskaya, Sofia G. 21 Mukherjee, Subrata 21 Niu, Zhongrong 20 Ai, Zhiyong 20 Alves, Carlos J. S. 20 Gray, Leonard J. 20 Lee, Ying-Te 20 Natarajan, Sundararajan 20 Telles, José Claudio de Faria 19 Cheng, Changzheng 19 Lin, Weicheng 19 Liu, Jun 19 Ochiai, Yoshihiro 19 Rangelov, Tsviatko V. 19 Sun, Linlin 19 Zhang, Yaoming 18 António, Julieta M. P. 18 Assari, Pouria 18 Florez, Whady Felipe 18 García-Sánchez, Felipe 18 Hriberšek, Matjaž 18 Huang, Jin 18 Katsikadelis, John T. 18 Lee, Jia-Wei ...and 9,667 more Authors
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### Cited in 360 Journals

 2,721 Engineering Analysis with Boundary Elements 463 Computer Methods in Applied Mechanics and Engineering 324 Applied Mathematical Modelling 301 Computers & Mathematics with Applications 295 Applied Mathematics and Computation 239 Computational Mechanics 225 Journal of Computational Physics 171 Journal of Computational and Applied Mathematics 169 International Journal for Numerical Methods in Engineering 162 International Journal of Computational Methods 154 Acta Mechanica 136 Mathematical Problems in Engineering 121 Applied Numerical Mathematics 121 Inverse Problems in Science and Engineering 106 European Journal of Mechanics. A. Solids 91 International Journal of Computer Mathematics 83 Computational and Applied Mathematics 69 Mathematics and Computers in Simulation 67 Computers and Fluids 65 Numerical Algorithms 62 Applied Mathematics Letters 57 International Journal of Applied and Computational Mathematics 52 Numerical Methods for Partial Differential Equations 51 Advances in Applied Mathematics and Mechanics 49 Journal of Scientific Computing 48 Communications in Nonlinear Science and Numerical Simulation 47 International Journal of Solids and Structures 46 Wave Motion 43 Journal of Engineering Mathematics 39 Archive of Applied Mechanics 38 Meccanica 37 European Journal of Mechanics. B. Fluids 35 SIAM Journal on Scientific Computing 34 International Journal of Heat and Mass Transfer 34 International Journal of Numerical Methods for Heat & Fluid Flow 34 Advances in Difference Equations 33 Advances in Computational Mathematics 33 Journal of Computational Acoustics 30 Applicable Analysis 30 International Journal of Engineering Science 29 Communications in Numerical Methods in Engineering 28 Chaos, Solitons and Fractals 27 Acta Mechanica Sinica 26 Mathematical Methods in the Applied Sciences 26 Mathematics and Mechanics of Solids 25 AMM. Applied Mathematics and Mechanics. (English Edition) 24 Journal of Fluid Mechanics 24 Journal of Applied Mathematics 21 International Journal for Numerical Methods in Fluids 21 Inverse Problems 20 Computer Physics Communications 20 Applied Mathematics and Mechanics. (English Edition) 20 Communications in Computational Physics 19 Nonlinear Dynamics 19 International Journal of Fracture 19 Advances in Mathematical Physics 17 Numerische Mathematik 16 Abstract and Applied Analysis 16 Archives of Computational Methods in Engineering 16 Boundary Value Problems 16 Computational Methods for Differential Equations 15 Computing 15 Mathematical and Computer Modelling 15 International Journal of Nonlinear Sciences and Numerical Simulation 15 Mathematical Sciences 14 Journal of Elasticity 14 Engineering Computations 14 Structural and Multidisciplinary Optimization 13 Journal of the Mechanics and Physics of Solids 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Fixed Point Theory and Applications 13 Waves in Random and Complex Media 13 International Journal for Numerical Methods in Biomedical Engineering 13 AIMS Mathematics 12 Computational Mathematics and Mathematical Physics 12 Journal of Inverse and Ill-Posed Problems 12 International Journal for Computational Methods in Engineering Science and Mechanics 11 BIT 11 Physics of Fluids 10 Physica A 10 Mechanics Research Communications 10 Journal of Inequalities and Applications 10 Lobachevskii Journal of Mathematics 10 Discrete and Continuous Dynamical Systems. Series S 10 Journal of Mathematical Modeling 10 Journal of Applied Mathematics and Computational Mechanics 9 Journal of Applied Mechanics and Technical Physics 9 Mathematical Modelling and Analysis 9 Inverse Problems and Imaging 9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 8 Journal of Mathematical Analysis and Applications 8 Advances in Engineering Software 8 Filomat 8 Computational Geosciences 8 Journal of Function Spaces 7 International Journal for Numerical and Analytical Methods in Geomechanics 7 Calcolo 7 Journal of Integral Equations and Applications 7 SIAM Journal on Applied Mathematics 7 Numerical Linear Algebra with Applications ...and 260 more Journals
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### Cited in 50 Fields

 5,190 Numerical analysis (65-XX) 3,507 Mechanics of deformable solids (74-XX) 1,865 Partial differential equations (35-XX) 1,701 Fluid mechanics (76-XX) 530 Classical thermodynamics, heat transfer (80-XX) 314 Optics, electromagnetic theory (78-XX) 228 Integral equations (45-XX) 212 Biology and other natural sciences (92-XX) 169 Approximations and expansions (41-XX) 145 Ordinary differential equations (34-XX) 136 Real functions (26-XX) 129 Geophysics (86-XX) 125 Calculus of variations and optimal control; optimization (49-XX) 125 Statistical mechanics, structure of matter (82-XX) 93 Operator theory (47-XX) 89 Operations research, mathematical programming (90-XX) 82 Probability theory and stochastic processes (60-XX) 71 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 66 Potential theory (31-XX) 61 Computer science (68-XX) 45 Harmonic analysis on Euclidean spaces (42-XX) 42 Special functions (33-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 37 Systems theory; control (93-XX) 34 Quantum theory (81-XX) 33 Integral transforms, operational calculus (44-XX) 32 Statistics (62-XX) 29 Dynamical systems and ergodic theory (37-XX) 28 Information and communication theory, circuits (94-XX) 27 Mechanics of particles and systems (70-XX) 26 Functions of a complex variable (30-XX) 20 Functional analysis (46-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 8 Combinatorics (05-XX) 8 Difference and functional equations (39-XX) 4 Number theory (11-XX) 4 Measure and integration (28-XX) 4 Mathematics education (97-XX) 3 Convex and discrete geometry (52-XX) 3 Relativity and gravitational theory (83-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX)