Zhang, Yijie; Wei, Gaofeng; Liu, Tengda; Hua, Fengfeng; Zhou, Shasha The analysis of geometrically nonlinear behavior of SMAs using RKPM. (English) Zbl 07984246 Commun. Nonlinear Sci. Numer. Simul. 142, Article ID 108581, 22 p. (2025). MSC: 65Mxx 74Sxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Abbaszadeh, Mostafa; Parvizi, Maryam; Khodadadian, Amirreza; Wick, Thomas; Dehghan, Mehdi A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model. (English) Zbl 07979071 Comput. Math. Appl. 179, 197-211 (2025). MSC: 65M70 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Zeng Finite volume reproducing kernel particle method. (English) Zbl 07863388 Comput. Math. Appl. 167, 150-159 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Tanaka, Satoyuki; Ejima, Shion; Wang, Hanlin; Sadamoto, Shota Free vibration analysis of thin-walled folded structures employing Galerkin-based RKPM and stabilized nodal integration methods. (English) Zbl 07855382 Eng. Anal. Bound. Elem. 163, 308-317 (2024). MSC: 74H45 74K20 74S15 65N35 65N38 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Zeng; Liu, Fawang; Wu, Junchao; Wang, Dongdong; Gu, Yuantong Three dimensional meshfree analysis for time-Caputo and space-Laplacian fractional diffusion equation. (English) Zbl 07849676 Eng. Anal. Bound. Elem. 157, 553-564 (2023). MSC: 35R11 65M06 65M70 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Qin, Shaopeng; Yin, Deshun; Wei, Gaofeng; Han, Baozhi; Tian, Mingyuan; Ma, Liangzhu The elastoplastic large deformation analysis based on meshless radial basis reproducing kernel particle method. (English) Zbl 1537.74377 Eng. Anal. Bound. Elem. 155, 541-552 (2023). MSC: 74S60 65M70 65D12 74C05 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Xiaoxia; Kiani, Keivan Spatially nonlocal instability modeling of torsionaly loaded nanobeams. (English) Zbl 1537.82027 Eng. Anal. Bound. Elem. 154, 29-46 (2023). MSC: 82M15 65N38 82D80 × Cite Format Result Cite Review PDF Full Text: DOI
Schlinkman, Ryan T.; Baek, Jonghyuk; Beckwith, Frank N.; Nelson, Stacy M.; Chen, J. S. A quasi-conforming embedded reproducing kernel particle method for heterogeneous materials. (English) Zbl 1536.74318 Comput. Methods Appl. Mech. Eng. 416, Article ID 116363, 31 p. (2023). MSC: 74S99 65M75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wilhelm, R. Paul; Kirchhart, Matthias An interpolating particle method for the Vlasov-Poisson equation. (English) Zbl 07625391 J. Comput. Phys. 473, Article ID 111720, 21 p. (2023). MSC: 76Mxx 76Xxx 65Dxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yao, Wu-Wen; Zhou, Xiao-Ping Meshless numerical solution for nonlocal integral differentiation equation with application in peridynamics. (English) Zbl 1539.74526 Eng. Anal. Bound. Elem. 144, 569-582 (2022). MSC: 74S25 65M70 65R20 74A70 × Cite Format Result Cite Review PDF Full Text: DOI
Vaghefi, Reza; Karimzadeh, Ali A 3D meshless radial basis reproducing kernel particle model for elastoplastic analysis of temperature-dependent FG plates resting on Winkler/Pasternak foundation. (English) Zbl 1537.74388 Eng. Anal. Bound. Elem. 144, 127-144 (2022). MSC: 74S99 65N35 65D12 74C05 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Tsung-Hui; Wei, Yen-Ling A stabilized quasi and bending consistent meshfree Galerkin formulation for Reissner-Mindlin plates. (English) Zbl 1509.74055 Comput. Mech. 70, No. 6, 1211-1239 (2022). MSC: 74S99 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Jinpeng; Qin, Yixiao; Li, Zhonghua The high-order smooth interpolated reproducing kernel particle method for elastodynamics problems. (English) Zbl 1501.65071 Bound. Value Probl. 2022, Paper No. 74, 17 p. (2022). MSC: 65M60 65M06 65N30 74B99 74S05 74S20 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Mu, Boyuan; Kiani, Keivan Surface and shear effects on spatial buckling of initially twisted nanowires. (English) Zbl 1521.74065 Eng. Anal. Bound. Elem. 143, 207-218 (2022); retraction notice ibid. 157, 175 (2023). MSC: 74G60 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Tsung-Hui A variational multiscale stabilized and locking-free meshfree formulation for Reissner-Mindlin plate problems. (English) Zbl 07492659 Comput. Mech. 69, No. 1, 59-93 (2022). MSC: 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Tsung-Hui; Chen, Jiun-Shyan; Tupek, Michael R.; Beckwith, Frank N.; Fang, H. Eliot A variational multiscale immersed meshfree method for fluid structure interactive systems involving shock waves. (English) Zbl 1507.76088 Comput. Methods Appl. Mech. Eng. 389, Article ID 114396, 45 p. (2022). MSC: 76L05 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zheng; Wei, Gaofeng; Qin, Shaopeng; Wang, Zhiming The elastoplastic analysis of functionally graded materials using a meshfree RRKPM. (English) Zbl 1510.74013 Appl. Math. Comput. 413, Article ID 126651, 21 p. (2022). MSC: 74C05 74S22 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Haicheng; Li, Shaofan On approximation theory of nonlocal differential operators. (English) Zbl 1548.74994 Int. J. Numer. Methods Eng. 122, No. 23, 6984-7012 (2021). MSC: 74S99 65M99 74A70 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Tsung-Hui; Chen, Jiun-Shyan; Tupek, Michael R.; Beckwith, Frank N.; Koester, Jacob J.; Fang, H. Eliot A variational multiscale immersed meshfree method for heterogeneous materials. (English) Zbl 1477.74119 Comput. Mech. 67, No. 4, 1059-1097 (2021). MSC: 74S99 74E05 × Cite Format Result Cite Review PDF Full Text: DOI
Neofytou, Andreas; Huang, Tsung-Hui; Kambampati, Sandilya; Picelli, Renato; Chen, Jiun-Shyan; Kim, H. Alicia Level set topology optimization with nodally integrated reproducing kernel particle method. (English) Zbl 1502.74085 Comput. Methods Appl. Mech. Eng. 385, Article ID 114016, 26 p. (2021). MSC: 74P15 65N75 × Cite Format Result Cite Review PDF Full Text: DOI
Esfahani, Sadegh Ghamsari; Sarrami-Foroushani, Saeid; Azhari, Mojtaba On the use of reproducing kernel particle finite strip method in the static, stability and free vibration analysis of FG plates with different boundary conditions and diverse internal supports. (English) Zbl 1481.74250 Appl. Math. Modelling 92, 380-409 (2021). MSC: 74H45 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation. (English) Zbl 1486.65157 Appl. Numer. Math. 169, 44-63 (2021). MSC: 65M60 65M06 65N30 65M75 65M12 26A33 35R11 35R07 35R10 × Cite Format Result Cite Review PDF Full Text: DOI
Baek, Jonghyuk; Chen, Jiun-Shyan; Zhou, Guohua; Arnett, Kevin P.; Hillman, Michael C.; Hegemier, Gilbert; Hardesty, Scott A semi-Lagrangian reproducing kernel particle method with particle-based shock algorithm for explosive welding simulation. (English) Zbl 1467.74097 Comput. Mech. 67, No. 6, 1601-1627 (2021). MSC: 74S99 74C99 74J40 × Cite Format Result Cite Review PDF Full Text: DOI
Chakraborty, Subhendu; Ghosh, Somnath A concurrent atomistic-crystal plasticity multiscale model for crack propagation in crystalline metallic materials. (English) Zbl 1506.74016 Comput. Methods Appl. Mech. Eng. 379, Article ID 113748, 28 p. (2021). MSC: 74A25 74E15 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation. (English) Zbl 1474.65340 Appl. Math. Comput. 392, Article ID 125718, 21 p. (2021). MSC: 65M60 34A34 26A33 35R11 65M12 65M75 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, P. P.; Wu, Q.; Cheng, Y. M. The dimension splitting reproducing kernel particle method for three-dimensional potential problems. (English) Zbl 1537.65171 Int. J. Numer. Methods Eng. 121, No. 1, 146-164 (2020). MSC: 65N30 65N06 74S70 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Dan; Li, Jie A reproducing kernel particle method for solving generalized probability density evolution equation in stochastic dynamic analysis. (English) Zbl 1477.74122 Comput. Mech. 65, No. 3, 597-607 (2020). MSC: 74S99 74H50 74K10 74H15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zheng; Wei, Gaofeng; Wang, Zhiming The radial basis reproducing kernel particle method for geometrically nonlinear problem of functionally graded materials. (English) Zbl 1481.74124 Appl. Math. Modelling 85, 244-272 (2020). MSC: 74E30 65D12 65N99 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Jiale; Li, Shaofan; Kan, Xingyu; Zhang, A-Man; Lai, Xin Higher-order nonlocal theory of updated Lagrangian particle hydrodynamics (ULPH) and simulations of multiphase flows. (English) Zbl 1506.76137 Comput. Methods Appl. Mech. Eng. 368, Article ID 113176, 28 p. (2020). MSC: 76M28 65M75 76Txx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Lei; Tang, Shaoqiang; Liu, Wing Kam Analytical expression of RKPM shape functions. (English) Zbl 1467.74094 Comput. Mech. 66, No. 6, 1343-1352 (2020). MSC: 74S22 65D17 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, P. P.; Cheng, Y. M. Analyzing three-dimensional transient heat conduction problems with the dimension splitting reproducing kernel particle method. (English) Zbl 1464.80046 Eng. Anal. Bound. Elem. 121, 180-191 (2020). MSC: 80M99 65M99 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Lei; Li, Yingzhou; Liu, Jian-Guo; Liu, Zibu; Lu, Jianfeng A stochastic version of Stein variational gradient descent for efficient sampling. (English) Zbl 1444.62043 Commun. Appl. Math. Comput. Sci. 15, No. 1, 37-63 (2020). MSC: 62G05 65C35 65C05 46E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zheng; Wei, Gaofeng; Wang, Zhiming Numerical solution of functionally graded materials based on radial basis reproducing kernel particle method. (English) Zbl 1464.65262 Eng. Anal. Bound. Elem. 111, 32-43 (2020). MSC: 65N75 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Mingjing; Qiao, Xiaohua; Wang, Biao; Wang, Yulan; Gao, Bo A novel method for numerical simulation of sand motion model in beach formation based on fractional Taylor-Jumarie series expansion and piecewise interpolation technique. (English) Zbl 1428.82082 Appl. Math. Comput. 347, 15-21 (2019). MSC: 82M99 82C22 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. (English) Zbl 1464.76052 Eng. Anal. Bound. Elem. 106, 300-308 (2019). MSC: 76M10 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Y. X.; Zhang, A. M.; Li, S. F.; Ming, F. R. A beam formulation based on RKPM for the dynamic analysis of stiffened shell structures. (English) Zbl 1469.74128 Comput. Mech. 63, No. 1, 35-48 (2019). MSC: 74S99 74K10 74K25 74H15 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jichao; Wei, Gaofeng; Gao, Hongfen The Hermit-type reproducing kernel particle method for elasticity problems. (English) Zbl 1404.74203 Int. J. Comput. Methods 16, No. 2, Article ID 1846003, 23 p. (2019). MSC: 74S30 74B20 65N99 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Tian, Lirui; Zhu, Song; Nie, Fenghua; Li, Dongming; Kong, Linghao Quasi-convex reproducing kernel particle method for elasticity and elastic fracture problems. (Chinese. English summary) Zbl 1438.74151 J. Wuhan Univ., Nat. Sci. Ed. 64, No. 5, 431-440 (2018). MSC: 74S05 74B99 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Zeng; Liu, Fawang; Wang, Dongdong; Gu, Yuantong Reproducing kernel particle method for two-dimensional time-space fractional diffusion equations in irregular domains. (English) Zbl 1404.65095 Eng. Anal. Bound. Elem. 97, 131-143 (2018). MSC: 65M06 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Atri, H. R.; Shojaee, S. Meshfree truncated hierarchical refinement for isogeometric analysis. (English) Zbl 1462.74166 Comput. Mech. 62, No. 6, 1583-1597 (2018). MSC: 74S22 65D07 65D17 × Cite Format Result Cite Review PDF Full Text: DOI
Olliff, James; Alford, Brad; Simkins, Daniel C. jun. Efficient searching in meshfree methods. (English) Zbl 1469.74127 Comput. Mech. 62, No. 6, 1461-1483 (2018). MSC: 74S99 74S50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ting; Wei, Gaofeng; Ma, Jichao; Gao, Hongfen Radial basis reproducing kernel particle method for piezoelectric materials. (English) Zbl 1403.74331 Eng. Anal. Bound. Elem. 92, 171-179 (2018). MSC: 74S30 65N35 74F15 × Cite Format Result Cite Review PDF Full Text: DOI
Yreux, Edouard; Chen, Jiun-Shyan A quasi-linear reproducing kernel particle method. (English) Zbl 1548.65386 Int. J. Numer. Methods Eng. 109, No. 7, 1045-1064 (2017). MSC: 65N75 × Cite Format Result Cite Review PDF Full Text: DOI
Gharib, M.; Khezri, M.; Foster, S. J. Meshless and analytical solutions to the time-dependent advection-diffusion-reaction equation with variable coefficients and boundary conditions. (English) Zbl 1480.65306 Appl. Math. Modelling 49, 220-242 (2017). MSC: 65M75 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition. (English) Zbl 1412.65138 Comput. Math. Appl. 73, No. 6, 1270-1285 (2017). MSC: 65M60 65M12 65M15 35R11 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Rüter, Marcus Olavi; Chen, Jiun-Shyan An enhanced-strain error estimator for Galerkin meshfree methods based on stabilized conforming nodal integration. (English) Zbl 1397.65294 Comput. Math. Appl. 74, No. 9, 2144-2171 (2017). MSC: 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Hillman, Michael; Chen, Jiun-Shyan Nodally integrated implicit gradient reproducing kernel particle method for convection dominated problems. (English) Zbl 1425.65112 Comput. Methods Appl. Mech. Eng. 299, 381-400 (2016). MSC: 65M60 35K20 35Q35 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Kiani, Keivan Thermo-elasto-dynamic analysis of axially functionally graded non-uniform nanobeams with surface energy. (English) Zbl 1423.74491 Int. J. Eng. Sci. 106, 57-76 (2016). MSC: 74K10 74H45 × Cite Format Result Cite Review PDF Full Text: DOI
Qin, Y. X.; Xie, W. T.; Ren, H. P.; Li, X. Crane hook stress analysis upon boundary interpolated reproducing kernel particle method. (English) Zbl 1403.65221 Eng. Anal. Bound. Elem. 63, 74-81 (2016). MSC: 65N38 74A10 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Haoyan; Chen, Jiun-Shyan; Hillman, Michael A stabilized nodally integrated meshfree formulation for fully coupled hydro-mechanical analysis of fluid-saturated porous media. (English) Zbl 1390.76852 Comput. Fluids 141, 105-115 (2016). MSC: 76S05 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Hillman, M.; Chen, J. S. An implicit gradient meshfree formulation for convection-dominated problems. (English) Zbl 1356.76235 Bazilevs, Yuri (ed.) et al., Advances in computational fluid-structure interaction and flow simulation. New methods and challenging computations. Based on the presentations at the conference, AFSI, Tokyo, Japan, March 19–21, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-40825-5/hbk; 978-3-319-40827-9/ebook). Modeling and Simulation in Science, Engineering and Technology, 25-37 (2016). MSC: 76M25 76R99 × Cite Format Result Cite Review PDF Full Text: DOI
Hillman, Michael; Chen, Jiun-Shyan An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics. (English) Zbl 1352.74119 Int. J. Numer. Methods Eng. 107, No. 7, 603-630 (2016). MSC: 74G15 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Kiani, Keivan Nanomechanical sensors based on elastically supported double-walled carbon nanotubes. (English) Zbl 1410.82042 Appl. Math. Comput. 270, 216-241 (2015). MSC: 82D80 74M25 74H45 × Cite Format Result Cite Review PDF Full Text: DOI
Rüter, Marcus; Chen, Jiun-Shyan A multi-space error estimation approach for meshfree methods. (English) Zbl 1363.65192 Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Prague: Czech Academy of Sciences, Institute of Mathematics (ISBN 978-80-85823-65-3). 194-205 (2015). MSC: 65N15 65N50 46E22 35J30 65N30 × Cite Format Result Cite Review PDF Full Text: Link
Dai, Zili; Bessa, Miguel A.; Li, Shaofan; Liu, Wing Kam Particle method modeling of nonlocal multiresolution continua. (English) Zbl 1342.76097 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VII. Selected contributions based on the presentations at the 7th international workshop, Bonn, Germany, September 9–11, 2013. Cham: Springer (ISBN 978-3-319-06897-8/hbk; 978-3-319-06898-5/ebook). Lecture Notes in Computational Science and Engineering 100, 43-60 (2015). MSC: 76M28 74S05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Kiani, Keivan Free vibrations of elastically embedded stocky single-walled carbon nanotubes acted upon by a longitudinally varying magnetic field. (English) Zbl 1336.74027 Meccanica 50, No. 12, 3041-3067 (2015). MSC: 74H45 74F15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, L.; Cheng, Yu Min; Ma, He Ping The complex variable reproducing kernel particle method for the analysis of Kirchhoff plates. (English) Zbl 1311.74154 Comput. Mech. 55, No. 3, 591-602 (2015). MSC: 74S70 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Kiani, Keivan A nonlocal meshless solution for flexural vibrations of double-walled carbon nanotubes. (English) Zbl 1302.74076 Appl. Math. Comput. 234, 557-578 (2014). MSC: 74H45 74M25 82D80 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Weng, Y. J.; Zhang, Z.; Cheng, Y. M. The complex variable reproducing kernel particle method for two-dimensional inverse heat conduction problems. (English) Zbl 1297.65117 Eng. Anal. Bound. Elem. 44, 36-44 (2014). MSC: 65M32 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Pai-Chen; Sun, Chien-Ting The isoparametric reproducing kernel particle method for nonlinear deformation of plates. (English) Zbl 1297.74165 Eng. Anal. Bound. Elem. 42, 67-76 (2014). MSC: 74S30 74K20 74K25 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, H. S.; Fu, M. W. Adaptive reproducing kernel particle method using gradient indicator for elasto-plastic deformation. (English) Zbl 1351.74169 Eng. Anal. Bound. Elem. 37, No. 2, 280-292 (2013). MSC: 74S30 74C05 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Dehghan, Mehdi; Salehi, Rezvan A meshfree weak-strong (MWS) form method for the unsteady magnetohydrodynamic (MHD) flow in pipe with arbitrary wall conductivity. (English) Zbl 1398.76234 Comput. Mech. 52, No. 6, 1445-1462 (2013). MSC: 76W05 74S30 65N30 65M70 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Salehi, Rezvan; Dehghan, Mehdi A moving least square reproducing polynomial meshless method. (English) Zbl 1284.65137 Appl. Numer. Math. 69, 34-58 (2013). MSC: 65M60 65M12 35K05 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI
Davis, Christopher; Kim, June G.; Oh, Hae-Soo; Cho, Min Hyung Meshfree particle methods in the framework of boundary element methods for the Helmholtz equation. (English) Zbl 1273.65185 J. Sci. Comput. 55, No. 1, 200-230 (2013). MSC: 65N38 × Cite Format Result Cite Review PDF Full Text: DOI
Rüter, Marcus; Hillman, Michael; Chen, Jiun-Shyan Corrected stabilized non-conforming nodal integration in meshfree methods. (English) Zbl 1267.65186 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VI. Selected papers of the sixth international workshop, Bonn, Germany, October 4–6, 2011. Berlin: Springer (ISBN 978-3-642-32978-4/hbk; 978-3-642-32979-1/ebook). Lecture Notes in Computational Science and Engineering 89, 75-92 (2013). MSC: 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Kiani, Keivan; Nikkhoo, Ali On the limitations of linear beams for the problems of moving mass-beam interaction using a meshfree method. (English) Zbl 1288.74044 Acta Mech. Sin. 28, No. 1, 164-179 (2012). MSC: 74K10 74H15 × Cite Format Result Cite Review PDF Full Text: DOI
Mashayekhi, Mohammad; Shodja, Hossein M.; Namakian, Reza RKPM approach to elastic-plastic fracture mechanics with notes on particles distribution and discontinuity criteria. (English) Zbl 1356.74032 CMES, Comput. Model. Eng. Sci. 76, No. 1, 19-60 (2011). MSC: 74C05 74R99 65N75 × Cite Format Result Cite Review PDF Full Text: DOI
Oh, Hae-Soo; Davis, Christopher; Kim, June G.; Kwon, YongHoon Reproducing polynomial particle methods for boundary integral equations. (English) Zbl 1273.65189 Comput. Mech. 48, No. 1, 27-45 (2011). MSC: 65N75 65N38 × Cite Format Result Cite Review PDF Full Text: DOI
Mošová, Vratislava Realization of Dirichlet conditions in RKPM. (English) Zbl 1340.65278 Vejchodský, T. (ed.) et al., Programs and algorithms of numerical mathematics 15. Proceedings of the 15th seminar (PANM), Dolní Maxov, Czech Republic, June 6–11, 2010. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-57-8). 152-157 (2010). Reviewer: Tomas Vejchodsky (Praha) MSC: 65N35 35J05 × Cite Format Result Cite Review PDF Full Text: Link
Shodja, H. M.; Khezri, M.; Hashemian, A.; Behzadan, A. RKPM with augmented corrected collocation method for treatment of material discontinuities. (English) Zbl 1231.74024 CMES, Comput. Model. Eng. Sci. 62, No. 2, 171-204 (2010). MSC: 74A50 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Asprone, D.; Auricchio, F.; Manfredi, G.; Prota, A.; Reali, A.; Sangalli, G. Particle methods for a 1D elastic model problem: error analysis and development of a second-order accurate formulation. (English) Zbl 1231.74475 CMES, Comput. Model. Eng. Sci. 62, No. 1, 1-21 (2010). MSC: 74S30 65N75 65N15 74H15 × Cite Format Result Cite Review PDF Full Text: DOI
Shodja, Hossein M.; Kiani, Keivan; Hashemian, Alireza A model for the evolution of concrete deterioration due to reinforcement corrosion. (English) Zbl 1205.74151 Math. Comput. Modelling 52, No. 9-10, 1403-1422 (2010). MSC: 74R10 74G10 × Cite Format Result Cite Review PDF Full Text: DOI
Mošová, Vratislava Reproducing kernel particle method and its modification. (English) Zbl 1224.65270 Math. Bohem. 135, No. 4, 383-392 (2010). MSC: 65N30 65L60 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Pinelli, A.; Naqavi, I. Z.; Piomelli, U.; Favier, J. Immersed-boundary methods for general finite-difference and finite-volume Navier-Stokes solvers. (English) Zbl 1427.76053 J. Comput. Phys. 229, No. 24, 9073-9091 (2010). MSC: 76D05 76M20 76M12 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Li, Hua; Mulay, Shantanu S.; See, Simon On the convergence of random differential quadrature (RDQ) method and its application in solving nonlinear differential equations in mechanics. (English) Zbl 1231.65230 CMES, Comput. Model. Eng. Sci. 48, No. 1, 43-82 (2009). MSC: 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Rongjun; Liew, K. M. The reproducing kernel particle method for two-dimensional unsteady heat conduction problems. (English) Zbl 1398.74065 Comput. Mech. 45, No. 1, 1-10 (2009). MSC: 74F05 74S30 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Mulay, Shantanu S.; Li, Hua; See, Simon On the random differential quadrature (RDQ) method: Consistency analysis and application in elasticity problems. (English) Zbl 1236.74304 Comput. Mech. 44, No. 4, 563-590 (2009). MSC: 74S60 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Shodja, Hossein M.; Hashemian, Alireza A numerical solution of 2D Buckley-Leverett equation via gradient reproducing kernel particle method. (English) Zbl 1232.76045 CMES, Comput. Model. Eng. Sci. 32, No. 1, 17-33 (2008). MSC: 76M28 65M99 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Li; Cheng, Yumin Complex variable reproducing kernel particle method for transient heat conduction problems. (Chinese. English summary) Zbl 1187.80046 Acta Phys. Sin. 57, No. 10, 6047-6055 (2008). MSC: 80M25 × Cite Format Result Cite Review PDF
Cho, Jin Yeon; Song, You Me; Choi, Yun Hyuk Boundary locking induced by penalty enforcement of essential boundary conditions in mesh-free methods. (English) Zbl 1159.65361 Comput. Methods Appl. Mech. Eng. 197, No. 13-16, 1167-1183 (2008). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N35 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Kopacz, Adrian Marcin; Liu, Wing Kam; Liu, Shu Q. Simulation and prediction of endothelial cell adhesion modulated by molecular engineering. (English) Zbl 1158.76455 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2340-2352 (2008). MSC: 76Z05 76M10 76M25 74F10 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Rongjun; Ge, Hongxia The meshless method for a two-dimensional parabolic problem with a source parameter. (English) Zbl 1147.65073 Appl. Math. Comput. 202, No. 2, 730-737 (2008). MSC: 65M32 65M70 35K15 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Hashemian, Alireza; Shodja, Hossein M. A meshless approach for solution of Burgers’ equation. (English) Zbl 1149.65079 J. Comput. Appl. Math. 220, No. 1-2, 226-239 (2008). MSC: 65M20 35Q53 65M70 65L06 46E22 × Cite Format Result Cite Review PDF Full Text: DOI
Sajeeb, R.; Roy, D.; Manohar, C. S. Numerical aspects of a real-time sub-structuring technique in structural dynamics. (English) Zbl 1194.74123 Int. J. Numer. Methods Eng. 72, No. 11, 1261-1313 (2007). MSC: 74H15 74S99 × Cite Format Result Cite Review PDF Full Text: DOI
Oh, Hae-Soo; Kim, June G.; Jeong, Jaewoo The closed form reproducing polynomial particle shape functions for meshfree particle methods. (English) Zbl 1173.65303 Comput. Methods Appl. Mech. Eng. 196, No. 35-36, 3435-3461 (2007). MSC: 65D10 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, C. K.; Shuai, Y. Y. An automatic adaptive refinement procedure for the reproducing kernel particle method. I: Stress recovery and a posteriori error estimation. (English) Zbl 1178.74181 Comput. Mech. 40, No. 3, 399-413 (2007). MSC: 74S30 74B05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Oh, Hae-Soo; Kim, June G.; Jeong, Jae Woo The smooth piecewise polynomial particle shape functions corresponding to patch-wise non-uniformly spaced particles for meshfree particle methods. (English) Zbl 1165.74353 Comput. Mech. 40, No. 3, 569-594 (2007). MSC: 74S30 74R10 74G70 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, C. K.; Shuai, Y. Y. An automatic adaptive refinement procedure for the reproducing kernel particle method. II: Adaptive refinement. (English) Zbl 1178.74180 Comput. Mech. 40, No. 3, 415-427 (2007). MSC: 74S30 74B05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Xiong, Shangwu; Rodrigues, J. M. C.; Martins, P. A. F. On background cells during the analysis of bulk forming processes by the reproducing kernel particle method. (English) Zbl 1178.74187 Comput. Mech. 40, No. 2, 233-247 (2007). MSC: 74S30 74C15 × Cite Format Result Cite Review PDF Full Text: DOI
Joyot, Pierre; Trunzler, Jean; Chinesta, Francisco Enriched reproducing kernel particle approximation for simulating problems involving moving interfaces. (English) Zbl 1114.65140 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations III. Selected papers based on the presentations at the 3rd international workshop, Bonn, Germany, September 12–15, 2005. Berlin: Springer (ISBN 3-540-46214-7/pbk). Lecture Notes in Computational Science and Engineering 57, 149-164 (2007). MSC: 65N30 35J05 × Cite Format Result Cite Review PDF
Lu, De-tang; Zeng, Qing-hong; Lin, Chun-yang Parallel algorithms of meshless numerical simulation. (Chinese. English summary) Zbl 1222.65126 J. Univ. Sci. Technol. China 36, No. 12, 1299-1307 (2006). MSC: 65N30 35J25 65Y05 74S05 × Cite Format Result Cite Review PDF
Lam, K. Y.; Li, Hua; Yew, Y. K.; Ng, T. Y. Development of the meshless Hermite-Cloud method for structural mechanics applications. (English) Zbl 1192.74370 Int. J. Mech. Sci. 48, No. 4, 440-450 (2006). MSC: 74S30 74K99 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Wing Kam; Liu, Yaling; Farrell, David; Zhang, Lucy; Wang, X. Sheldon; Fukui, Yoshio; Patankar, Neelesh; Zhang, Yongjie; Bajaj, Chandrajit; Lee, Junghoon; Hong, Juhee; Chen, Xinyu; Hsu, Huayi Immersed finite element method and its applications to biological systems. (English) Zbl 1178.76232 Comput. Methods Appl. Mech. Eng. 195, No. 13-16, 1722-1749 (2006); erratum 195, No. 33-36, 4655 (2006). MSC: 76M10 76Z05 74F10 76W05 92C10 92-08 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zhao, Guangming; Song, Shuncheng; Meng, Xiangrui The reproducing kernel particle method for nonlinear analysis. (English) Zbl 1344.65097 J. Lanzhou Univ., Nat. Sci. 42, No. 5, 85-89 (2006). MSC: 65M75 65N75 74S30 × Cite Format Result Cite Review PDF
Zhou, J. X.; Li, M. E. Solving phase field equations using a meshless method. (English) Zbl 1109.65087 Commun. Numer. Methods Eng. 22, No. 11, 1109-1115 (2006). MSC: 65M70 65M06 35Q72 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hua; Cheng, J. Q.; Ng, T. Y. A new variation of point collocation: the meshless finite mixture (MFM) method. (English) Zbl 07895406 Int. J. Comput. Methods Eng. Sci. Mech. 6, No. 1, 65-75 (2005). MSC: 74S30 76M25 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhi-Qian; Zhou, Jin-Xiong; Wang, Xue-Ming; Zhang, Yan-Fen; Zhang, Ling \(h\)-adaptivity analysis based on multiple scale reproducing kernel particle method. (English) Zbl 1144.74385 Appl. Math. Mech., Engl. Ed. 26, No. 8, 1064-1071 (2005). MSC: 74S30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Z. Q.; Zhou, J. X.; Zhou, N.; Wang, X. M.; Zhang, L. Shape optimization using reproducing kernel particle method and an enriched genetic algorithm. (English) Zbl 1151.74401 Comput. Methods Appl. Mech. Eng. 194, No. 39-41, 4048-4070 (2005). MSC: 74P10 74S30 92D99 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, J. X.; Wang, X. M.; Zhang, Z. Q.; Zhang, L. Explicit 3-D RKPM shape functions in terms of kernel function moments for accelerated computation. (English) Zbl 1137.74453 Comput. Methods Appl. Mech. Eng. 194, No. 9-11, 1027-1035 (2005). MSC: 74S30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jifa; Zhang, Wenpu; Zheng, Yao A meshfree method and its applications to elasto-plastic problems. (English) Zbl 1161.74526 J. Zhejiang Univ., Sci. 6A, No. 2, 148-154 (2005). MSC: 74S30 74C15 74L10 × Cite Format Result Cite Review PDF