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International Journal of Computational Methods

Short Title: Int. J. Comput. Methods
Publisher: World Scientific, Singapore
ISSN: 0219-8762; 1793-6969/e
Online: https://www.worldscientific.com/loi/ijcm
Comments: Journal
Documents Indexed: 1,234 Publications (since 2004)
References Indexed: 1,219 Publications with 40,942 References.
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Latest Issues

21, No. 2 (2024)
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10, No. 6 (2013)
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7, No. 4 (2010)
7, No. 3 (2010)
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...and 22 more Volumes
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Authors

67 Liu, Gui-Rong
17 Li, Ming
16 Zhang, GuiYong
15 Han, Xu
14 Li, Guangyao
14 Nguyen-Thoi, Trung
12 Cui, Xiangyang
12 Gu, Yuantong
10 Wan, Decheng
9 Rabczuk, Timon
9 Zong, Zhi
8 Li, Wei
8 Liu, Moubin
8 Nguyen-Xuan, Hung
7 Behl, Ramandeep
7 Jiang, Chao
7 Liu, Jie
7 Ma, Guowei
7 Niu, Ruiping
7 Sibanda, Precious
7 Zang, Mengyan
7 Zhuang, Xiaoying
6 Argyros, Ioannis Konstantinos
6 Chen, Yizhou
6 Kanok-Nukulchai, Worsak
6 Natarajan, Sundararajan
6 Vo-Duy, Trung
6 Xiao, Yihua
6 Xu, Xu
6 Yue, Junhong
6 Zheng, Hong
6 Zhou, Liming
5 Chai, Yingbin
5 Chen, Ching-Shyang
5 Chen, Mengcheng
5 Duan, Shuyong
5 Düster, Alexander
5 Feng, Xinlong
5 Gao, Xiaowei
5 He, Yinnian
5 Jiang, Chen
5 Li, Eric
5 Li, Yan
5 Okuda, Hiroshi
5 Onishi, Yuki
5 Soares, Delfim jun.
5 Tounsi, Abdelouahed
5 Yao, Jianyao
5 Yüzbaşı, Şuayip
5 Zhang, Zhiqian
4 Chen, Zhiyi
4 Civalek, Ömer
4 Dong, Xiangwei
4 Gravvanis, George A.
4 Gupta, Dharmendra Kumar
4 Ho-huu, Vinh
4 Li, Zengliang
4 Lin, Xiaoyun
4 Ogino, Masao
4 Qamar, Shamsul
4 Shao, Jiaru
4 Sharma, Janak Raj
4 Wang, Guangyu
4 Wang, Zhongxian
4 Xu, Wei
4 Zhu, Hehua
3 Ang, Kok Keng
3 Baccouch, Mahboub
3 Cardoso, Onézimo Carlos Viana
3 Chau-Dinh, Thanh
3 Chen, Gang
3 Chen, Jeng-Tzong
3 Chen, Lei
3 Chen, Shunhua
3 De, Suvranu
3 Elaskar, Sergio A.
3 Er, Guokang
3 Filelis-Papadopoulos, Christos K.
3 Gao, Guangjun
3 Gao, Liang
3 Ghoreishi, Farideh
3 He, Xiaoqiao
3 He, Zhicheng
3 Hori, Muneo
3 Houari, Mohammed Sid Ahmed
3 Hu, Ning
3 Hu, Xuqu
3 Hwang, Yunn-Lin
3 Iu, Vai Pan
3 Jiang, Weikang
3 Kadioglu, Samet Y.
3 Khuri, Suheil A.
3 Kim, Wooram
3 Le Van Canh
3 Li, Gang
3 Li, Hongying
3 Li, Yunlong
3 Lou, Jing
3 Luong, van Hai
3 Markou, George A.
...and 2,506 more Authors
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Fields

674 Numerical analysis (65-XX)
607 Mechanics of deformable solids (74-XX)
276 Fluid mechanics (76-XX)
65 Partial differential equations (35-XX)
53 Classical thermodynamics, heat transfer (80-XX)
53 Operations research, mathematical programming (90-XX)
46 Biology and other natural sciences (92-XX)
36 Geophysics (86-XX)
32 Computer science (68-XX)
25 Statistics (62-XX)
22 Mechanics of particles and systems (70-XX)
17 Integral equations (45-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
17 Optics, electromagnetic theory (78-XX)
13 General and overarching topics; collections (00-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Ordinary differential equations (34-XX)
9 Probability theory and stochastic processes (60-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Systems theory; control (93-XX)
5 Approximations and expansions (41-XX)
5 Information and communication theory, circuits (94-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Quantum theory (81-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Operator theory (47-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Differential geometry (53-XX)

Publications by Year

Citations contained in zbMATH Open

836 Publications have been cited 5,010 times in 3,188 Documents Cited by Year
A generalized gradient smoothing technique and the smoothed bilinear form for Galerkin formulation of a wide class of computational methods. Zbl 1222.74044
Liu, G. R.
194
2008
The particle finite element method – an overview. Zbl 1182.76901
Oñate, E.; Idelsohn, S. R.; Del Pin, F.; Aubry, R.
129
2004
A linearly conforming point interpolation method (LC-PIM) for 2D solid mechanics problems. Zbl 1137.74303
Liu, G. R.; Zhang, G. Y.; Dai, K. Y.; Wang, Y. Y.; Zhong, Z. H.; Li, G. Y.; Han, X.
113
2005
Generalized finite element methods – main ideas, results and perspective. Zbl 1081.65107
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
90
2004
Additional properties of the node-based smoothed finite element method (NS-FEM) for solid mechanics problems. Zbl 1267.74115
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.
85
2009
Edge-based smoothed point interpolation methods. Zbl 1264.74284
Liu, G. R.; Zhang, G. Y.
74
2008
The method of approximate particular solutions for solving elliptic problems with variable coefficients. Zbl 1245.65172
Chen, C. S.; Fan, C. M.; Wen, P. H.
73
2011
A normed G space and weakened weak (\(\mathrm W^2\)) formulation of a cell-based smoothed point interpolation method. Zbl 1264.74285
Liu, G. R.; Zhang, G. Y.
73
2009
A linearly conforming radial point interpolation method for solid mechanics problems. Zbl 1198.74120
Liu, G. R.; Li, Y.; Dai, K. Y.; Luan, M. T.; Xue, W.
72
2006
Performance of different integration schemes in facing discontinuities in the finite cell method. Zbl 1359.65245
Abedian, Alireza; Parvizian, Jamshid; Düster, Alexander; Khademyzadeh, Hassan; Rank, Ernst
71
2013
An overview on meshfree methods: for computational solid mechanics. Zbl 1359.74388
Liu, G. R.
71
2016
On G space theory. Zbl 1264.74266
Liu, G. R.
69
2009
The numerical manifold method: a review. Zbl 1267.74129
Ma, Guowei; An, Xinmei; He, Lei
68
2010
Meshfree methods and their comparisons. Zbl 1137.74302
Gu, Y. T.
49
2005
The upper bound property for solid mechanics of the linearly conforming radial point interpolation method (LC-RPIM). Zbl 1198.74123
Zhang, G. Y.; Liu, G. R.; Nguyen, T. T.; Song, C. X.; Han, X.; Zhong, Z. H.; Li, G. Y.
46
2007
An overview on smoothed particle hydrodynamics. Zbl 1257.76092
Liu, M. B.; Liu, G. R.; Zong, Z.
45
2008
Application of smoothed finite element method to two-dimensional exterior problems of acoustic radiation. Zbl 1404.76158
Chai, Yingbin; Gong, Zhixiong; Li, Wei; Li, Tianyun; Zhang, Qifan; Zou, Zhihong; Sun, Yangbin
44
2018
Meshfree methods: a comprehensive review of applications. Zbl 1404.74199
Garg, Sahil; Pant, Mohit
43
2018
An interpolating boundary element-free method with nonsingular weight function for two-dimensional potential problems. Zbl 1359.65282
Wang, Jufeng; Wang, Jianfei; Sun, Fengxin; Cheng, Yumin
40
2013
Application of polygonal finite elements in linear elasticity. Zbl 1198.74104
Tabarraei, A.; Sukumar, N.
39
2006
Three-dimensional weakly nonlinear shallow water waves regime and its traveling wave solutions. Zbl 1404.76052
Seadawy, Aly R.
39
2018
An advanced meshless method for time fractional diffusion equation. Zbl 1245.65133
Gu, Y. T.; Zhuang, P.; Liu, Q.
36
2011
A smoothing method for shape optimization: traction method using the Robin condition. Zbl 1198.74055
Azegami, Hideyuki; Takeuchi, Kenzen
35
2006
Interval and subinterval analysis methods of the structural analysis and their error estimations. Zbl 1198.65088
Zhou, Y. T.; Jiang, C.; Han, X.
32
2006
Further investigation of element-free Galerkin method using moving Kriging interpolation. Zbl 1179.74182
Tongsuk, P.; Kanok-Nukulchai, W.
31
2004
Dynamic load identification for uncertain structures based on interval analysis and regularization method. Zbl 1245.74018
Liu, Jie; Han, Xu; Jiang, Chao; Ning, H. M.; Bai, Y. C.
30
2011
Higher-order parameter uniform convergent schemes for Robin type reaction-diffusion problems using adaptively generated grid. Zbl 1359.65123
Das, Pratibhamoy; Natesan, Srinivasan
30
2012
A discrepancy principle for the source points location in using the MFS for solving the BHCP. Zbl 1264.80031
Hon, Y. C.; Li, M.
29
2009
Free and forced vibration analysis using the \(n\)-sided polygonal cell-based smoothed finite element method (nCS-FEM). Zbl 1359.74433
Nguyen-Thoi, T.; Phung-Van, P.; Rabczuk, T.; Nguyen-Xuan, H.; Le-Van, C.
27
2013
Numerical multistep approach for solving fractional partial differential equations. Zbl 1404.65210
Al-Smadi, Mohammed; Freihat, Asad; Khalil, Hammad; Momani, Shaher; Ali Khan, Rahmat
25
2017
Stability of a time delayed SIR epidemic model along with nonlinear incidence rate and Holling type-II treatment rate. Zbl 1404.34082
Kumar, Abhishek; Nilam
25
2018
A coupled FE-meshfree triangular element for acoustic radiation problems. Zbl 07342002
Li, Wei; Zhang, Qifan; Gui, Qiang; Chai, Yingbin
25
2021
Parameter-uniform finite element method for two-parameter singularly perturbed parabolic reaction-diffusion problems. Zbl 1359.65202
Kadalbajoo, M. K.; Yadaw, Arjun Singh
24
2012
A complex variable meshless manifold method for fracture problems. Zbl 1267.74124
Gao, Hongfen; Cheng, Yumin
23
2010
An immersed smoothed finite element method for fluid–structure interaction problems. Zbl 1245.74012
Zhang, Zhi-Qian; Yao, Jianyao; Liu, G. R.
22
2011
An application of the ES-FEM in solid domain for dynamic analysis of 2d fluid-solid interaction problems. Zbl 1359.74432
Nguyen-Thoi, T.; Phung-Van, P.; Rabczuk, T.; Nguyen-Xuan, H.; Le-Van, C.
22
2013
Semilocal convergence of a Stirling-like method in Banach spaces. Zbl 1267.65057
Parhi, S. K.; Gupta, D. K.
21
2010
Spectral collocation method for multi-order fractional differential equations. Zbl 1359.65213
Ghoreishi, F.; Mokhtary, P.
20
2014
A preconditioned AOR iterative method for the absolute value equations. Zbl 1404.65052
Li, Cui-Xia
20
2017
Singular enrichment finite element method for elastodynamic crack propagation. Zbl 1076.74051
Belytschko, Ted; Chen, Hao
19
2004
Derivation of particular solutions using Chebyshev polynomial based functions. Zbl 1198.65245
Chen, C. S.; Lee, Sungwook; Huang, C.-S.
19
2007
Three-dimensional thermoelastic problem under two-temperature theory. Zbl 1404.74005
Sur, Abhik; Kanoria, M.
19
2017
An efficient recursive algorithm in the computational simulation of the bounded growth of biological films. Zbl 1359.76207
Morales-Hernández, M. D.; Medina-Ramírez, I. E.; Avelar-González, F. J.; Macías-Díaz, J. E.
19
2012
On the Riemann problem simulation for the drift-flux equations of two-phase flows. Zbl 1359.76195
Kuila, S.; Sekhar, T. Raja; Zeidan, D.
19
2016
Dispersion reduction for the wave propagation problems using a coupled “FE-meshfree” triangular element. Zbl 07342702
Chai, Yingbin; You, Xiangyu; Li, Wei
19
2020
Multiscale numerical methods for singularly perturbed convection-diffusion equations. Zbl 1182.76902
Park, Peter J.; Hou, Thomas Y.
18
2004
A Galerkin meshfree method with stabilized conforming nodal integration for geometrically nonlinear analysis of shear deformable plates. Zbl 1245.74088
Wang, Dongdong; Sun, Yue
18
2011
Numerical solution for hyperbolic conservative two-phase flow equations. Zbl 1198.76078
Zeidan, D.; Slaouti, A.; Romenski, E.; Toro, E. F.
18
2007
An edge-based smoothed finite element method for analysis of laminated composite plates. Zbl 1359.74434
Phan-Dao, H. H.; Nguyen-Xuan, H.; Thai-Hoang, C.; Nguyen-Thoi, T.; Rabczuk, T.
18
2013
Energy stable discontinuous Galerkin finite element method for the Allen-Cahn equation. Zbl 1404.65173
Karasözen, Bülent; Uzunca, Murat; Sariaydin-Filibelioğlu, Ayşe; Yücel, Hamdullah
18
2018
Three-dimensional penetration simulation using smoothed particle hydrodynamics. Zbl 1257.74117
Zhou, C. E.; Liu, G. R.; Lou, K. Y.
18
2007
Development of 3D numerical manifold method. Zbl 1267.74125
He, Lei; Ma, Guowei
18
2010
Free vibration analysis of Timoshenko beams and Mindlin plates by radial basis functions. Zbl 1189.74047
Ferreira, A. J. M.
18
2005
Lower bound of vibration modes using the node-based smoothed finite element method (NS-FEM). Zbl 1404.74163
Liu, Guirong; Chen, Meng; Li, Ming
17
2017
Numerical solution for the nonlinear Emden-Fowler type equations by a fourth-order adaptive method. Zbl 1359.65135
Khuri, S. A.; Sayfy, A.
17
2014
Mid-frequency acoustic analysis using edge-based smoothed tetrahedron radialpoint interpolation methods. Zbl 1359.76255
He, Z. C.; Li, G. Y.; Li, Eric; Zhong, Z. H.; Liu, G. R.
17
2014
A novel general formulation for singular stress field using the es-FEM method for the analysis of mixed-mode cracks. Zbl 1267.74112
Liu, G. R.; Nourbakhshnia, N.; Chen, L.; Zhang, Y. W.
17
2010
Fully Legendre spectral Galerkin algorithm for solving linear one-dimensional telegraph type equation. Zbl 1489.65140
Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H.
16
2019
Meshfree cell-based smoothed point interpolation method using isoparametric PIM shape functions and condensed RPIM shape functions. Zbl 1245.65014
Zhang, G. Y.; Liu, G. R.
16
2011
A posteriori error analysis for the weak Galerkin method for solving elliptic problems. Zbl 1404.65285
Zhang, Tie; Chen, Yanli
16
2018
On the convergence analysis of the spline collocation method for system of integral algebraic equations of index-2. Zbl 1360.65306
Ghoreishi, F.; Hadizadeh, M.; Pishbin, S.
16
2012
Computation of limit load using edge-based smoothed finite element method and second-order cone programming. Zbl 1359.74420
Le, C. V.; Nguyen-Xuan, H.; Askes, H.; Rabczuk, T.; Nguyen-Thoi, T.
16
2013
3D acoustic shape sensitivity analysis using fast multipole boundary element method. Zbl 1359.74467
Zheng, C. J.; Chen, H. B.; Matsumoto, T.; Takahashi, T.
15
2012
A generalized and efficient method for finite cover generation in the numerical manifold method. Zbl 1359.65283
Cai, Yongchang; Zhuang, Xiaoying; Zhu, Hehua
15
2013
S-FEM for fracture problems, theory, formulation and application. Zbl 1359.74025
Liu, Gui Rong; Chen, Lei; Li, Ming
15
2014
Mathematical basis of \(G\) spaces. Zbl 1359.46024
Chen, Meng; Li, Ming; Liu, G. R.
15
2016
The method of fundamental solutions for an inverse internal boundary value problem for the biharmonic equation. Zbl 1267.65171
Lesnic, D.; Zeb, A.
15
2009
An ABAQUS implementation of the cell-based smoothed finite element method (CS-FEM). Zbl 07124751
Cui, X.; Han, X.; Duan, S. Y.; Liu, G. R.
14
2020
Numerical solution of diffusion and reaction-diffusion partial integro-differential equations. Zbl 1404.65318
Aziz, Imran; Khan, Imran
14
2018
Smoothed point interpolation method for elastoplastic analysis. Zbl 1359.74455
Zhang, G. Y.; Li, Y.; Gao, X. X.; Hui, D.; Wang, S. Q.; Zong, Z.
14
2015
Development of user element routine (UEL) for cell-based smoothed finite element method (CSFEM) in Abaqus. Zbl 07124752
Kumbhar, Pramod Y.; Francis, A.; Swaminathan, N.; Annabattula, R. K.; Natarajan, S.
13
2020
A novel pick-out theory and technique for constructing the smoothed derivatives of functions for numerical methods. Zbl 1404.74162
Liu, G. R.
13
2018
Moving least squares (MLS) method for the nonlinear hyperbolic telegraph equation with variable coefficients. Zbl 1404.65199
Mardani, A.; Hooshmandasl, M. R.; Hosseini, M. M.; Heydari, M. H.
13
2017
Semi-implicit coupling of cs-FEM and FEM for the interaction between a geometrically nonlinear solid and an incompressible fluid. Zbl 1359.76181
He, Tao
13
2015
Multi-resolution MPS method for free surface flows. Zbl 1359.76236
Tang, Zhenyuan; Zhang, Youlin; Wan, Decheng
13
2016
Solution of initial and boundary value problems by an effective accurate method. Zbl 1404.65079
Turkyilmazoglu, Mustafa
13
2017
A superconvergent local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. Zbl 07336570
Baccouch, Mahboub
13
2020
Modified Hager-Zhang conjugate gradient methods via singular value analysis for solving monotone nonlinear equations with convex constraint. Zbl 07446889
Sabi’u, Jamilu; Shah, Abdullah; Waziri, Mohammed Yusuf; Ahmed, Kabiru
13
2021
A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates. Zbl 1359.74084
Bousahla, Abdelmoumen Anis; Houari, Mohammed Sid Ahmed; Tounsi, Abdelouahed; Bedia, El Abbas Adda
12
2014
Singular boundary method for various exterior wave applications. Zbl 1360.65298
Fu, Zhuo-Jia; Chen, Wen; Lin, Ji; Cheng, Alexander H.-D.
12
2015
Development of the cell-based smoothed discrete shear gap plate element (CS-FEM-DSG3) using three-node triangles. Zbl 1359.74431
Nguyen-Thoi, T.; Nguyen-Thoi, M. H.; Vo-Duy, T.; Nguyen-Minh, N.
12
2015
Parabolic partial differential equations with nonlocal initial and boundary values. Zbl 1359.65211
Turkyilmazoglu, M.
12
2015
Minimizing the Gross-Pitaevskii energy functional with the Sobolev gradient – analytical and numerical results. Zbl 1267.81294
Kazemi, Parimah; Eckart, Michael
12
2010
Robust finite difference method for singularly perturbed two-parameter parabolic convection-diffusion problems. Zbl 07341993
Bullo, Tesfaye Aga; Duressa, Gemechis File; Degla, Guy Aymard
12
2021
A combined extended and edge-based smoothed finite element method (ES-XFEM) for fracture analysis of 2D elasticity. Zbl 1245.74081
Chen, Lei; Liu, Gui Rong; Zeng, Kai Yang
11
2011
Noniterative integration algorithms with controllable numerical dissipations for structural dynamics. Zbl 1479.74043
Li, Jinze; Yu, Kaiping
11
2019
A comparison between the NMM and the XFEM in discontinuity modeling. Zbl 1359.74392
An, Xinmei; Fu, Guoyang; Ma, Guowei
11
2012
An explicit smoothed finite element method (SFEM) for elastic dynamic problems. Zbl 1359.74398
Cui, X. Y.; Li, G. Y.; Liu, G. R.
11
2013
Mps-FEM partitioned coupling approach for fluid-structure interaction with free surface flow. Zbl 1359.74426
Mitsume, N.; Yoshimura, S.; Murotani, K.; Yamada, T.
11
2014
A partitioned implicit coupling strategy for incompressible flow past an oscillating cylinder. Zbl 1359.76080
He, Tao
11
2015
An efficient method for topology optimization of continuum structures in the presence of uncertainty in loading direction. Zbl 1404.74140
Liu, Jie; Wen, Guilin; Qing, Qixiang; Xie, Yi Min
11
2017
A modified smoothed finite element method for static and free vibration analysis of solid mechanics. Zbl 1359.74130
Cui, Xiang Yang; Hu, Xiao Bin; Li, Guang Yao; Liu, Gui Rong
11
2016
A wavelet Taylor-Galerkin method for parabolic and hyperbolic partial differential equations. Zbl 1189.65226
Kumar, B. V. Rathish; Mehra, Mani
11
2005
Fuzzy optimal search plan for \(n\)-dimensional randomly moving target. Zbl 1359.90048
El-Hadidy, Mohamed Abd Allah
11
2016
A cell-based smoothed finite element method for arbitrary polygonal element to solve incompressible laminar flow. Zbl 07446684
Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen; Liu, Guirong
11
2021
FEA-AI and AI-AI: two-way deepnets for real-time computations for both forward and inverse mechanics problems. Zbl 1489.74059
Liu, G. R.
10
2019
Dynamic elastoplastic analysis using the meshless local natural neighbor interpolation method. Zbl 1245.74006
Chen, Shenshen; Li, Qinghua; Liu, Yinghua; Xia, Jiangtao; Xue, Zhiqing
10
2011
Fitted finite difference method for third order singularly perturbed delay differential equations of convection diffusion type. Zbl 07074134
Mahendran, R.; Subburayan, V.
10
2019
A numerical approach for solving high-order linear delay Volterra integro-differential equations. Zbl 1404.65337
Yüzbaşı, Şuayip; Karaçayır, Murat
10
2018
An extended cell-based smoothed three-node Mindlin plate element (XCS-MIN3) for free vibration analysis of cracked FGM plates. Zbl 1404.74167
Nguyen-Thoi, T.; Rabczuk, T.; Ho-Huu, V.; Le-Anh, L.; Dang-Trung, H.; Vo-Duy, T.
10
2017
Non-probabilistic uncertainty and correlation propagation analysis methods based on multidimensional parallelepiped model. Zbl 07873498
Lü, Hui; Li, Zhencong; Huang, Xiaoting; Shangguan, Wen-Bin
1
2024
A six-level time-split leap-frog/ Crank-Nicolson approach for two-dimensional nonlinear time-dependent convection diffusion reaction equation. Zbl 07747963
Ngondiep, Eric
6
2023
Superconvergence of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems. Zbl 07714948
Baccouch, Mahboub
5
2023
Interpolating meshless methods for 3D elastic problems. Zbl 07714942
Qian, Yi-Cheng; Yang, Yi-Ru; Liu, Bin; Kong, Ling-Hao; Li, D. M.
3
2023
NIPG method on Shishkin mesh for singularly perturbed convection-diffusion problem with discontinuous source term. Zbl 07714952
Rajeev Ranjan, Kumar; Gowrisankar, S.
3
2023
An introduction to programming physics-informed neural network-based computational solid mechanics. Zbl 07873505
Bai, Jinshuai; Jeong, Hyogu; Batuwatta-Gamage, C. P.; Xiao, Shusheng; Wang, Qingxia; Rathnayaka, C. M.; Alzubaidi, Laith; Liu, Gui-Rong; Gu, Yuantong
2
2023
Uncertainty propagation analysis of fuzzy uncertain structures involving imprecise membership functions. Zbl 07714943
Lü, Hui; Zheng, Zebin; Huang, Xiaoting; Shangguan, Wen-Bin; Zhao, Kegang
2
2023
A concurrent topology optimization model for dynamic property of structures with connectable graded microstructures. Zbl 07714944
Wu, Wenjun; Zhang, Huikai; Wang, Yiqiang; Liu, Pai; Kang, Zhan
2
2023
Spectral methods for Hammerstein integral equations with nonsmooth kernels. Zbl 07714962
Arrai, Mohamed; Allouch, Chafik; Bouda, Hamza
2
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NIPG finite element method for convection-dominated diffusion problems with discontinuous data. Zbl 07714969
Yadav, Ram Prasad; Rai, Pratima; Sharma, Kapil K.
2
2023
Local Galerkin method based on the moving least squares approximation for solving delay integral equations arisen from an air pollution model. Zbl 07873508
Hosseinian, Alireza; Assari, Pouria; Dehghan, Mehdi
1
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A dynamical systems approach to machine learning. Zbl 07873487
Pourmohammad Azizi, S.; Neisy, Abdolsadeh; Ahmad Waloo, Sajad
1
2023
A tenth-order sixth-derivative block method for directly solving fifth-order initial value problems. Zbl 07873491
Ramos, Higinio; Momoh, Adelegan Lukuman
1
2023
A moving kriging interpolation meshless for bending and free vibration analysis of the stiffened FGM plates in thermal environment. Zbl 1540.74089
Peng, L. X.; Chen, S. Y.; Chen, W.; He, X. C.
1
2023
Numerical scheme with convergence analysis and error estimate for variable order weakly singular integro-differential equation. Zbl 07714950
Yadav, Poonam; Singh, B. P.; Alikhanov, Anatoly A.; Singh, Vineet Kumar
1
2023
Adaptive learning rate residual network based on physics-informed for solving partial differential equations. Zbl 07714953
Chen, Miaomiao; Niu, Ruiping; Li, Ming; Yue, Junhong
1
2023
An efficient iterative method for nonlinear boundary value problems with existence and uniqueness. Zbl 07714958
Chang, Shih-Hsiang
1
2023
A study on affine transformations and a novel universal prediction theory. Zbl 07714961
Liu, G. R.
1
2023
Radial basis function-based differential quadrature approach to study reaction-diffusion of Ca\(^{2+}\) in T lymphocyte. Zbl 07714964
Bhardwaj, Hemant; Adlakha, Neeru
1
2023
An improved evolutionary structure optimization method for smooth topology design of structures. Zbl 07714966
Wang, Leijia; Yue, Wenhui; Zhu, Mingqiao
1
2023
Machine learning surrogate modeling for meshless methods: leveraging universal approximation. Zbl 07747958
Hamrani, Abderrachid; Akbarzadeh, Abdolhamid; Madramootoo, Chandra A.; Bouarab, Fatma Zohra
1
2023
Solving nonlinear elliptic PDEs in 2D and 3D using polyharmonic splines and low-degree of polynomials. Zbl 07747961
Rubasinghe, Kalani; Yao, Guangming; Li, Wen; Tsogtgerel, Gantumur
1
2023
Multi-objective optimization of laminated functionally graded carbon nanotube-reinforced composite plates using deep feedforward neural networks-NSGAII algorithm. Zbl 07539545
Ly, Duy K.; Truong, Tam T.; Nguyen-Thoi, T.
5
2022
Two efficient time-marching explicit procedures considering spatially/temporally-defined adaptive time-integrators. Zbl 07488873
Soares, Delfim
4
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An analysis of the robust convergent method for a singularly perturbed linear system of reaction-diffusion type having nonsmooth data. Zbl 07488878
Chawla, Sheetal; Singh, Jagbir; Urmil
4
2022
New numerical approach for the steady-state Navier-Stokes equations with corner singularity. Zbl 07714908
Rukavishnikov, Alexey V.; Rukavishnikov, Viktor A.
3
2022
Predicting the pore-pressure and temperature of fire-loaded concrete by a hybrid neural network. Zbl 07714900
Zhang, Yiming; Gao, Zhiran; Wang, Xueya; Liu, Qi
3
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Distributed PINN for linear elasticity – a unified approach for smooth, singular, compressible and incompressible media. Zbl 07714897
Yadav, Gaurav Kumar; Natarajan, Sundararajan; Srinivasan, Balaji
2
2022
A novel virtual node selection scheme of cell-based smoothed radial point interpolation method (CS-RPIM) for mid-frequency acoustic problems. Zbl 07714911
Xiao, Qihang; Zhang, Guiyong; Chen, Zhigang; Hu, Huan; Wang, Shuangqiang; Xu, Youyun
2
2022
Solution existence theory for artificial neural networks. Zbl 07714917
Liu, G. R.
2
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Material design with topology optimization based on the neural network. Zbl 07714902
Li, Bin; Guo, Hongwei; Zhuang, Xiaoying
2
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A deep energy method for the analysis of thermoporoelastic functionally graded beams. Zbl 07714905
Mojahedin, Arvin; Hashemitaheri, Maryam; Salavati, Mohammad; Fu, Xiaolong; Rabczuk, Timon
2
2022
Contact analysis based on a linear strain node-based smoothed finite element method with linear complementarity formulations. Zbl 07633860
Li, Yan; Yue, Junhong
2
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Automatic adaptive recovery stress ES-FEM for lower-bound limit load analysis of structures. Zbl 07633866
Le, Vu Hoang; Tangaramvong, Sawekchai; Tran, Loc Vinh
2
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Geometrically nonlinear analysis of laminated composite plates using cell- and edge-based smoothing MITC3 finite elements. Zbl 07488875
Nguyen, Van-Hau; Nguyen, Trung-Kien; Chau-Dinh, Thanh
2
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A Galerkin-Newton algorithm for solution of a Kirchhoff-type static equation. Zbl 07488879
Kachakhidze, Nikoloz; Peradze, Jemal; Tsiklauri, Zviad
2
2022
A nonintrusive reduced-order model for uncertainty quantification in numerical solution of one-dimensional free-surface water flows over stochastic beds. Zbl 07547374
Alghosoun, Alia; El Mocayd, Nabil; Seaid, Mohammed
2
2022
An extended SORA method for hybrid reliability-based design optimization. Zbl 07547375
Tian, Wanyi; Chen, Weiwei; Wang, Zhonghua; Ni, Bingyu
2
2022
An effective smoothing length updating method for smoothed particle hydrodynamics. Zbl 07547379
Xiao, Yihua; Zou, Wenbing; Liu, Kun
2
2022
Coupling soil-fluid-structure domains by localized Lagrange multipliers mixed formulation \((u,p)\) for modeling offshore wind turbine vibration. Zbl 07547380
Ilson da Silva, Francisco jun.; Cardoso, Onézimo Carlos Viana; Cunha, Guilherme Terceiro; de Aguiar, André Luiz Ponte
2
2022
Efficient high-order discretization methods for coupled systems of singularly perturbed parabolic convection-diffusion problems. Zbl 07547384
Kuldeep; Kumar, Sunil
2
2022
A staggered asynchronous step integration algorithm for hybrid finite-element and discrete-element modeling. Zbl 07542603
Li, Tong; Wang, Qian; Jin, Xianlong
2
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A five-parameter class of derivative-free spectral conjugate gradient methods for systems of large-scale nonlinear monotone equations. Zbl 07714912
Bojari, S.; Eslahchi, M. R.
1
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Radial point interpolation method for isotropic nanoplates in bending using strain gradient theory. Zbl 07714920
Saitta, Serena; Fabbrocino, Francesco; Vescovini, Riccardo; Fantuzzi, Nicholas; Luciano, Raimondo
1
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Free vibration analysis of rectangular thin plates resting on nonhomogeneous elastic foundations by using matched interface and boundary algorithms and their multi-domain formulations. Zbl 07714926
Song, Zhiwei; He, Xiaoqiao; Li, Wei
1
2022
Neurons-samples theorem. Zbl 07714927
Liu, G. R.
1
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Deep weak approximation of SDEs: a spatial approximation scheme for solving Kolmogorov equations. Zbl 07714903
Naito, Riu; Yamada, Toshihiro
1
2022
Engineered interphase mechanics in single lap joints: analytical and PINN formulations. Zbl 1524.74040
Budarapu, P. R.; Kumar, S.; Khan, M. A.; Rammohan, B.; Anitescu, C.
1
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Dynamic response of the piezoelectric materials based on cell-based smoothed finite element method in hygrothermal environment. Zbl 1525.74198
Zhou, Liming; Tang, Jinghao; Wei, Yuan; Li, Ming; Li, Xiaolin
1
2022
Contact analysis within the bi-potential framework using cell-based smoothed finite element method. Zbl 07633856
Chen, Qianwei; Li, Yan; Feng, Zhiqiang; Chen, Huijian
1
2022
Two-dimensional boundary element method using interval B-spine wavelet. Zbl 07633863
Wei, Qi; Xiang, Jiawei
1
2022
Selective cell-based smoothed finite element method using 10-node tetrahedral element with radial element subdivision. Zbl 07633867
Onishi, Yuki
1
2022
Numerical investigation of high-order solid finite elements for anisotropic finite strain problems. Zbl 07547382
Hildebrandt, André; Düster, Alexander
1
2022
a posteriori error estimates of edge residual-type of weak Galerkin mixed FEM solving second-order elliptic problems on polytopal mesh. Zbl 07547385
Wang, Huijuan; Xu, Shipeng; He, Xiaoxiao
1
2022
A cell-based smoothed finite element method for solving incompressible Reynolds-averaged Navier-Stokes equations using Spalart-Allmaras turbulence model. Zbl 07547386
Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen
1
2022
A novel constitutive parameters identification procedure for hyperelastic skeletal muscles using two-way neural networks. Zbl 1524.92012
Li, Yang; Sang, Jianbing; Wei, Xinyu; Wan, Zijian; Liu, G. R.
1
2022
A coupled FE-meshfree triangular element for acoustic radiation problems. Zbl 07342002
Li, Wei; Zhang, Qifan; Gui, Qiang; Chai, Yingbin
25
2021
Modified Hager-Zhang conjugate gradient methods via singular value analysis for solving monotone nonlinear equations with convex constraint. Zbl 07446889
Sabi’u, Jamilu; Shah, Abdullah; Waziri, Mohammed Yusuf; Ahmed, Kabiru
13
2021
Robust finite difference method for singularly perturbed two-parameter parabolic convection-diffusion problems. Zbl 07341993
Bullo, Tesfaye Aga; Duressa, Gemechis File; Degla, Guy Aymard
12
2021
A cell-based smoothed finite element method for arbitrary polygonal element to solve incompressible laminar flow. Zbl 07446684
Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen; Liu, Guirong
11
2021
TubeNet: a special TrumpetNet for explicit solutions to inverse problems. Zbl 07342029
Liu, G. R.; Duan, S. Y.; Zhang, Z. M.; Han, X.
6
2021
Iterative approximation of preconditioning matrices through Krylov-type solver iterations. Zbl 07446694
Kushida, Noriyuki; Okuda, Hiroshi
5
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A variant of projection-regularization method for ill-posed linear operator equations. Zbl 07446897
Tahar, Bechouat; Nadjib, Boussetila; Faouzia, Rebbani
5
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A meshless local radial point collocation method for simulating the time-fractional convection-diffusion equations on surfaces. Zbl 07446905
Qiao, Yuanyang; Feng, Xinlong; He, Yinnian
5
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Phase field modeling of brittle fracture based on the cell-based smooth FEM by considering spectral decomposition. Zbl 07341991
Peng, Fan; Huang, Wei; Ma, Y. E.; Zhang, Z. Q.; Zhang, Yao
4
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Localized Lagrange multipliers mixed \((u,p)\) formulation applied in wind turbine analysis. Zbl 07341997
Cardoso, Onézimo Carlos Viana; da Silva, Francisco Ilson Junior
3
2021
Application of adaptive phase-field scaled boundary finite element method for functionally graded materials. Zbl 07342007
Pramod, Aladurthi L. N.; Hirshikesh; Natarajan, Sundararajan; Ooi, Ean Tat
3
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Distributed load identification for uncertain structure based on LHS-GA and improved L-curve method. Zbl 07342021
Zhao, Haitao; Li, Xiaowang; Chen, Ji’an
3
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A three-dimensional monotonicity-preserving modified method of characteristics on unstructured tetrahedral meshes. Zbl 07342026
Khouya, Bassou; El-Amrani, Mofdi; Seaid, Mohammed
3
2021
Optimally blended spectral elements in structural dynamics: selective integration and mesh distortion. Zbl 07488882
Radtke, Lars; Müller, David; Düster, Alexander
3
2021
Element differential method for solving linear and nonlinear electromagnetic problems. Zbl 07488883
Gao, Lan-Fang; Feng, Wei-Zhe; Gao, Xiao-Wei
3
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\( \alpha \)-finite element method for frictionless and frictional contact including large deformation. Zbl 07446677
Kshirsagar, Sandeep; Lee, Changkye; Natarajan, Sundararajan
3
2021
Simpson’s rule revisited. Zbl 07446678
Simić, Slavko; Bin-Mohsin, Bandar
3
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Thermal elastic-plastic analysis of three-dimensional structures using face-based smoothed point interpolation method. Zbl 07446692
Zhong, Yudong; Xie, Guizhong; Hou, JunJian; He, Wenbin; Li, Yuan
3
2021
A novel method for nonlinear boundary value problems based on multiscale orthogonal base. Zbl 07446703
Zhang, Yingchao; Mei, Liangcai; Lin, Yingzhen
3
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The homogenized transformation method for the calculation of stress intensity factor in cracked FGM structure. Zbl 07341990
Li, Rong; Yang, Meng; Liang, Bin
2
2021
A comparison between weakly-compressible smoothed particle hydrodynamics (WCSPH) and moving particle semi-implicit (MPS) methods for 3D dam-break flows. Zbl 07341995
Amaro, Rubens A. Junior; Cheng, Liang-Yee; Buruchenko, Sergei K.
2
2021
Wrinkling analysis of pre-stressed rectangular membranes using element-free Galerkin method. Zbl 07342001
Unnikrishnan, K. R.; Praveen Krishna, I. R.; Arun, C. O.
2
2021
Matched interface and boundary method for free vibration analysis of irregular membranes. Zbl 07342006
Song, Zhiwei; He, Xiaoqiao; Li, Wei; Xie, De
2
2021
Estimation of tumor characteristics in a skin tissue by a meshless collocation solver. Zbl 1535.92011
Fu, Zhuo-Jia; Chu, Wen-Hui; Yang, Min; Li, Po-Wei; Fan, Chia-Ming
2
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A new mesh moving technique for a fluid-structure interaction problem using mesh deformation energy minimization. Zbl 07342017
Oh, Sahuck
2
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Force reconstruction for uncertain structure based on interval model and second-order perturbation theory. Zbl 07342018
Li, Xiaowang; Zhao, Haitao; Huang, Jiping; Chen, Ji’an
2
2021
Reduced-order modeling based on hybrid snapshot simulation. Zbl 07342028
Bai, Feng; Wang, Yi
2
2021
The local singular boundary method for solution of two-dimensional advection-diffusion equation. Zbl 07488881
Kovářík, Karel; Mužík, Juraj
2
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A multiscale failure modeling framework for strain localization in quasi-brittle materials. Zbl 07488885
Xing, Wenjin; Miller, Anthony D.
2
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A novel family of two-stage implicit time integration schemes for structural dynamics. Zbl 07446688
Kim, Wooram; Reddy, J. N.
2
2021
Two-level defect-correction stabilized finite element method for the incompressible Navier-Stokes equations based on pressure projection. Zbl 07446689
Wen, Juan; Wang, Yu
2
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An equivalent identification method for dynamic loads acting on nonlinear structures. Zbl 07446704
Yu, Zhongbo; Li, Kun; Liu, Jie; Lu, Cheng; Bu, Xiaobing
2
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Nonlinear interval optimization of asymmetric damper parameters for a racing car. Zbl 07446680
Chai, Tian; Han, Xu; Liu, Jie; Zhou, Bing; Lei, Fei; Li, Fan
2
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An optimized explicit-implicit time-marching formulation for dynamic analysis. Zbl 07446891
Soares, Delfim Jr.; Rodrigues, Matheus M.
2
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Structural shape optimization by coupled FE-MM and swarm intelligence-based algorithm. Zbl 07446894
Rohit, Gaurang R.; Prajapati, Jagdish M.; Patel, Vikram B.
2
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Reflection of longitudinal wave in the micropolar elasticity with voids. Zbl 07341994
Lianngenga, R.; Lalvohbika, J.; Tochhawng, Lalawmpuia; Lalduhawma, L. P.; Zadeng, Denghmingliani
1
2021
An ecological equilibrium dynamics optimization approach. Zbl 07341998
Liao, Yifan
1
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A novel robust remeshing finite element technique for fracture propagation. Zbl 07341999
Ramalho, L. D. C.; Belinha, J.; Campilho, R. D. S. G.
1
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CAD model segmentation via deep learning. Zbl 07342005
Van Biesbroeck, Antoine; Shang, Feifei; Bassir, David
1
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Finite element-based analysis of bio-heat transfer in human skin burns and afterwards. Zbl 07342010
Mukaddes, Abul Mukid Md.; Shioya, Ryuji; Ogino, Masao; Roy, Dipon; Jaher, Rezwan
1
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Accuracy verification of a 2D adaptive mesh refinement method using backward-facing step flow of low Reynolds numbers. Zbl 07342012
Li, Zhenquan; Li, Miao
1
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Approximate solution of homogeneous and nonhomogeneous \(5\alpha\) th-order space-time fractional KdV equations. Zbl 07342019
Biswas, Swapan; Ghosh, Uttam
1
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A finite pointset method for extended Fisher-Kolmogorov equation based on mixed formulation. Zbl 07342020
Doss, L. Jones Tarcius; Kousalya, N.
1
2021
A radial basis function-based ghost cell method for complex rigid or flexible moving boundary flows. Zbl 07342024
Xin, Jianjian; Chen, Zhenlei; Shi, Fan; Shi, Fulong; Jin, Qiu
1
2021
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Cited by 5,333 Authors

166 Liu, Gui-Rong
46 Oñate Ibáñez de Navarra, Eugenio
45 Zhang, GuiYong
43 Nguyen-Thoi, Trung
34 Han, Xu
33 Cui, Xiangyang
33 Nguyen-Xuan, Hung
32 Li, Guangyao
31 Li, Ming
31 Zheng, Hong
30 Dehghan Takht Fooladi, Mehdi
27 Chai, Yingbin
27 He, Zhicheng
27 Li, Wei
24 Idelsohn, Sergio Rodolfo
24 Jiang, Chen
24 Rabczuk, Timon
23 Abbaszadeh, Mostafa
23 Düster, Alexander
23 Jiang, Chao
23 Seadawy, Aly R.
22 Chen, Ching-Shyang
21 Li, Eric
20 Argyros, Ioannis Konstantinos
17 Gu, Yuantong
17 Wang, Gang
17 Zhang, Zhiqian
16 Belinha, Jorge
16 Gao, Xiaowei
16 Gu, Yan
16 Li, Xiaolin
16 Niu, Ruiping
15 Bui, Tinh Quoc
15 Chen, Lei
15 Sur, Abhik
15 Zhou, Liming
14 Chen, Wen
14 Duressa, Gemechis File
14 Fu, Zhuojia
14 Hu, Dean
14 Liu, Moubin
14 Lu, Dianchen
14 Yang, Yongtao
13 Al-Smadi, Mohammed H.
13 George, Santhosh
13 Liu, Jie
13 Natarajan, Sundararajan
13 Xu, Xu
13 Zhang, Chuanzeng
12 Babuška, Ivo
12 Fan, Chia-Ming
12 Gao, Guangjun
12 Kollmannsberger, Stefan
12 Mondal, Sudip
12 Phung-Van, P.
12 Rank, Ernst
12 Wang, Dongdong
12 Yue, Junhong
11 Bordas, Stéphane Pierre Alain
11 El-Hadidy, Mohamed Abd Allah
11 Lin, Ji
11 Macías-Díaz, Jorge Eduardo
11 Roul, Pradip
11 Sharma, Janak Raj
11 Wang, Fajie
11 Zhong, Zhihua
10 Abd-Elhameed, Waleed Mohamed
10 Cremonesi, Massimiliano
10 Kanoria, Mridula
10 Liu, Chein-Shan
10 Luong, van Hai
10 Mohebbi, Akbar
10 Momani, Shaher M.
10 Natal Jorge, Renato Manuel
10 Qin, Qinghua
10 Qu, Wenzhen
10 Ren, Shuhui
10 Rossi, Riccardo
10 Waziri, Mohammed Yusuf
10 Yin, ZhenYu
9 Ahmed, Kabiru
9 Azegami, Hideyuki
9 He, Tao
9 Kim, Junseok
9 Li, Junpu
9 Liu, Feng
9 Mokhtary, Payam
9 Nie, Yufeng
9 Tran, Minh Thi
9 Wan, Detao
9 Yang, Gang
9 Youssri, Youssri H.
9 Zang, Mengyan
9 Zeidan, Dia
9 Zhuang, Xiaoying
9 Zong, Zhi
8 Băleanu, Dumitru I.
8 Cheng, Ai Guo
8 Cheng, Yumin
8 Dinis, Lúcia M. J. S.
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Cited in 276 Journals

467 International Journal of Computational Methods
393 Engineering Analysis with Boundary Elements
301 Computer Methods in Applied Mechanics and Engineering
166 International Journal for Numerical Methods in Engineering
104 Computers & Mathematics with Applications
101 Computational Mechanics
99 Applied Mathematical Modelling
71 Applied Mathematics and Computation
68 Journal of Computational Physics
57 Journal of Computational and Applied Mathematics
53 Acta Mechanica
49 Mathematical Problems in Engineering
45 Computational and Applied Mathematics
41 Applied Numerical Mathematics
35 Mathematical Methods in the Applied Sciences
35 Mathematics and Computers in Simulation
34 International Journal of Structural Stability and Dynamics
33 International Journal of Computer Mathematics
32 Numerical Algorithms
32 European Journal of Mechanics. A. Solids
31 Computers and Fluids
26 Journal of Scientific Computing
22 Journal of Applied Mathematics and Computing
22 Inverse Problems in Science and Engineering
21 Advances in Difference Equations
20 Numerical Methods for Partial Differential Equations
19 Communications in Nonlinear Science and Numerical Simulation
18 Advances in Applied Mathematics and Mechanics
17 International Journal for Numerical Methods in Fluids
17 Communications in Computational Physics
16 Waves in Random and Complex Media
16 International Journal of Applied and Computational Mathematics
13 Journal of Mathematical Chemistry
13 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
12 International Journal of Modern Physics B
12 Applied Mathematics Letters
11 Computer Physics Communications
11 Chaos, Solitons and Fractals
11 Meccanica
11 European Journal of Mechanics. B. Fluids
11 International Journal of Nonlinear Sciences and Numerical Simulation
11 AIMS Mathematics
10 Journal of Engineering Mathematics
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10 International Journal of Biomathematics
9 Physica A
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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8 Mediterranean Journal of Mathematics
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7 Applicable Analysis
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7 Numerische Mathematik
7 Acta Mechanica Sinica
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7 S\(\vec{\text{e}}\)MA Journal
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6 Japan Journal of Industrial and Applied Mathematics
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6 Turkish Journal of Mathematics
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6 Multiscale Modeling & Simulation
6 Computational Methods for Differential Equations
6 AMM. Applied Mathematics and Mechanics. (English Edition)
5 Wave Motion
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4 Calcolo
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4 Archive of Applied Mechanics
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4 Fractals
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4 Computational Geosciences
4 Structural and Multidisciplinary Optimization
4 Engineering Optimization
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Discrete and Continuous Dynamical Systems. Series S
4 Asian-European Journal of Mathematics
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3 Modern Physics Letters A
3 Geophysical and Astrophysical Fluid Dynamics
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3 Mathematical and Computer Modelling
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