Hilali, Youssef; Bourihane, Oussama Transition of thermally induced flow in a square cavity using an iterative predictor-corrector meshfree approach. (English) Zbl 07824578 ZAMM, Z. Angew. Math. Mech. 103, No. 3, Article ID e202200289, 22 p. (2023). MSC: 76Mxx 74Sxx 65Mxx PDFBibTeX XMLCite \textit{Y. Hilali} and \textit{O. Bourihane}, ZAMM, Z. Angew. Math. Mech. 103, No. 3, Article ID e202200289, 22 p. (2023; Zbl 07824578) Full Text: DOI
Oruç, Ömer A local meshfree radial point interpolation method for Berger equation arising in modelling of thin plates. (English) Zbl 1525.65130 Appl. Math. Modelling 122, 555-571 (2023). MSC: 65N35 65D12 74K20 74S25 PDFBibTeX XMLCite \textit{Ö. Oruç}, Appl. Math. Modelling 122, 555--571 (2023; Zbl 1525.65130) Full Text: DOI
Das, Sanjukta; Eldho, T. I. A meshless weak strong form method for the groundwater flow simulation in an unconfined aquifer. (English) Zbl 1521.76741 Eng. Anal. Bound. Elem. 137, 147-159 (2022). MSC: 76M99 65M70 76S05 86A05 PDFBibTeX XMLCite \textit{S. Das} and \textit{T. I. Eldho}, Eng. Anal. Bound. Elem. 137, 147--159 (2022; Zbl 1521.76741) Full Text: DOI
Oruç, Ömer A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose-Einstein condensates. (English) Zbl 07428002 Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106042, 18 p. (2022). MSC: 65M70 65M06 65N35 65L06 65D12 65D07 65M12 65M15 35Q55 82C10 82M22 PDFBibTeX XMLCite \textit{Ö. Oruç}, Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106042, 18 p. (2022; Zbl 07428002) Full Text: DOI
Oruç, Ömer A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations. (English) Zbl 1521.65075 Eng. Anal. Bound. Elem. 129, 55-66 (2021). MSC: 65M06 35M10 65D07 65D12 65M70 PDFBibTeX XMLCite \textit{Ö. Oruç}, Eng. Anal. Bound. Elem. 129, 55--66 (2021; Zbl 1521.65075) Full Text: DOI
Mazhar, Farrukh; Javed, Ali; Xing, Jing Tang; Shahzad, Aamer; Mansoor, Mohtashim; Maqsood, Adnan; Shah, Syed Irtiza Ali; Asim, Kamran On the meshfree particle methods for fluid-structure interaction problems. (English) Zbl 1464.76150 Eng. Anal. Bound. Elem. 124, 14-40 (2021). MSC: 76M28 65M75 74F10 76D05 PDFBibTeX XMLCite \textit{F. Mazhar} et al., Eng. Anal. Bound. Elem. 124, 14--40 (2021; Zbl 1464.76150) Full Text: DOI
Wang, Lihua; Qian, Zhihao A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation. (English) Zbl 1506.65237 Comput. Methods Appl. Mech. Eng. 371, Article ID 113303, 40 p. (2020). MSC: 65N35 PDFBibTeX XMLCite \textit{L. Wang} and \textit{Z. Qian}, Comput. Methods Appl. Mech. Eng. 371, Article ID 113303, 40 p. (2020; Zbl 1506.65237) Full Text: DOI
Mountris, Konstantinos A.; Pueyo, Esther The radial point interpolation mixed collocation method for the solution of transient diffusion problems. (English) Zbl 1464.74375 Eng. Anal. Bound. Elem. 121, 207-216 (2020). MSC: 74S25 65M70 PDFBibTeX XMLCite \textit{K. A. Mountris} and \textit{E. Pueyo}, Eng. Anal. Bound. Elem. 121, 207--216 (2020; Zbl 1464.74375) Full Text: DOI arXiv
Oruç, Ömer Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation. (English) Zbl 1440.74466 Comput. Math. Appl. 79, No. 12, 3272-3288 (2020). MSC: 74S25 65N35 PDFBibTeX XMLCite \textit{Ö. Oruç}, Comput. Math. Appl. 79, No. 12, 3272--3288 (2020; Zbl 1440.74466) Full Text: DOI
Wu, Shaowei; Xiang, Yang A weak-form meshfree coupled with infinite element method for predicting acoustic radiation. (English) Zbl 1464.76062 Eng. Anal. Bound. Elem. 107, 63-78 (2019). MSC: 76M10 65M60 76Q05 PDFBibTeX XMLCite \textit{S. Wu} and \textit{Y. Xiang}, Eng. Anal. Bound. Elem. 107, 63--78 (2019; Zbl 1464.76062) Full Text: DOI
Thai, Chien H.; Nguyen-Xuan, H. A moving Kriging interpolation meshfree method based on naturally stabilized nodal integration scheme for plate analysis. (English) Zbl 07072987 Int. J. Comput. Methods 16, No. 4, Article ID 1850100, 37 p. (2019). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{C. H. Thai} and \textit{H. Nguyen-Xuan}, Int. J. Comput. Methods 16, No. 4, Article ID 1850100, 37 p. (2019; Zbl 07072987) Full Text: DOI
Sedaghatjoo, Zeynab; Dehghan, Mehdi; Hosseinzadeh, Hossein Numerical solution of 2D Navier-Stokes equation discretized via boundary elements method and finite difference approximation. (English) Zbl 1403.76102 Eng. Anal. Bound. Elem. 96, 64-77 (2018). MSC: 76M15 65M38 35Q30 76D05 76M20 PDFBibTeX XMLCite \textit{Z. Sedaghatjoo} et al., Eng. Anal. Bound. Elem. 96, 64--77 (2018; Zbl 1403.76102) Full Text: DOI
Liu, G. R. A novel pick-out theory and technique for constructing the smoothed derivatives of functions for numerical methods. (English) Zbl 1404.74162 Int. J. Comput. Methods 15, No. 3, Article ID 1850070, 33 p. (2018). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{G. R. Liu}, Int. J. Comput. Methods 15, No. 3, Article ID 1850070, 33 p. (2018; Zbl 1404.74162) Full Text: DOI
Yan, Fei; Yu, Min; Lv, Jia-He Dual reciprocity boundary node method for convection-diffusion problems. (English) Zbl 1403.65235 Eng. Anal. Bound. Elem. 80, 230-236 (2017). MSC: 65N38 PDFBibTeX XMLCite \textit{F. Yan} et al., Eng. Anal. Bound. Elem. 80, 230--236 (2017; Zbl 1403.65235) Full Text: DOI
Shojaei, Arman; Mossaiby, Farshid; Zaccariotto, Mirco; Galvanetto, Ugo The meshless finite point method for transient elastodynamic problems. (English) Zbl 1384.74052 Acta Mech. 228, No. 10, 3581-3593 (2017). MSC: 74S30 74H99 PDFBibTeX XMLCite \textit{A. Shojaei} et al., Acta Mech. 228, No. 10, 3581--3593 (2017; Zbl 1384.74052) Full Text: DOI
Liu, G. R. An overview on meshfree methods: for computational solid mechanics. (English) Zbl 1359.74388 Int. J. Comput. Methods 13, No. 5, Article ID 1630001, 42 p. (2016). MSC: 74Sxx 74-02 PDFBibTeX XMLCite \textit{G. R. Liu}, Int. J. Comput. Methods 13, No. 5, Article ID 1630001, 42 p. (2016; Zbl 1359.74388) Full Text: DOI
Zhang, Xiaohua; Zhang, Ping Meshless modeling of natural convection problems in non-rectangular cavity using the variational multiscale element free Galerkin method. (English) Zbl 1403.76054 Eng. Anal. Bound. Elem. 61, 287-300 (2015). MSC: 76M10 65M60 76R10 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{P. Zhang}, Eng. Anal. Bound. Elem. 61, 287--300 (2015; Zbl 1403.76054) Full Text: DOI
Shahrokhabadi, Sh.; Toufigh, M. M. The solution of unconfined seepage problem using natural element method (NEM) coupled with genetic algorithm (GA). (English) Zbl 1351.76285 Appl. Math. Modelling 37, No. 5, 2775-2786 (2013). MSC: 76S05 76M25 74L10 PDFBibTeX XMLCite \textit{Sh. Shahrokhabadi} and \textit{M. M. Toufigh}, Appl. Math. Modelling 37, No. 5, 2775--2786 (2013; Zbl 1351.76285) Full Text: DOI
Najafi, Mohammad; Arefmanesh, Ali; Enjilela, Vali Extending MLPG primitive variable-based method for implementation in fluid flow and natural, forced and mixed convection heat transfer. (English) Zbl 1287.65081 Eng. Anal. Bound. Elem. 37, No. 10, 1285-1299 (2013). MSC: 65M60 65M25 76M10 76R10 80M10 PDFBibTeX XMLCite \textit{M. Najafi} et al., Eng. Anal. Bound. Elem. 37, No. 10, 1285--1299 (2013; Zbl 1287.65081) 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 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{R. Salehi}, Comput. Mech. 52, No. 6, 1445--1462 (2013; Zbl 1398.76234) Full Text: DOI
Wu, Xue-Hong; Chang, Zhi-Juan; Lu, Yan-Li; Tao, Wen-Quan; Shen, Sheng-Ping An analysis of the convection-diffusion problems using meshless and meshbased methods. (English) Zbl 1351.76086 Eng. Anal. Bound. Elem. 36, No. 6, 1040-1048 (2012). MSC: 76M10 65N30 PDFBibTeX XMLCite \textit{X.-H. Wu} et al., Eng. Anal. Bound. Elem. 36, No. 6, 1040--1048 (2012; Zbl 1351.76086) Full Text: DOI
Dehghan, Mehdi; Ghesmati, Arezou Combination of meshless local weak and strong (MLWS) forms to solve the two-dimensional hyperbolic telegraph equation. (English) Zbl 1244.65147 Eng. Anal. Bound. Elem. 34, No. 4, 324-336 (2010). MSC: 65M70 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{A. Ghesmati}, Eng. Anal. Bound. Elem. 34, No. 4, 324--336 (2010; Zbl 1244.65147) Full Text: DOI
Shen, Quan Local RBF-based differential quadrature collocation method for the boundary layer problems. (English) Zbl 1244.65118 Eng. Anal. Bound. Elem. 34, No. 3, 213-228 (2010). MSC: 65L60 65L11 PDFBibTeX XMLCite \textit{Q. Shen}, Eng. Anal. Bound. Elem. 34, No. 3, 213--228 (2010; Zbl 1244.65118) Full Text: DOI
Sadeghirad, A.; Mahmoudzadeh Kani, I. Modified equilibrium on line method for imposition of Neumann boundary conditions in meshless collocation methods. (English) Zbl 1159.65363 Commun. Numer. Methods Eng. 25, No. 2, 147-171 (2009). MSC: 65N35 35J05 35J65 65N12 74B05 74S25 PDFBibTeX XMLCite \textit{A. Sadeghirad} and \textit{I. Mahmoudzadeh Kani}, Commun. Numer. Methods Eng. 25, No. 2, 147--171 (2009; Zbl 1159.65363) Full Text: DOI
Saeedpanah, Iraj; Jabbari, E. Local Heaviside-weighted LRPIM meshless method and its application to two-dimensional potential flows. (English) Zbl 1394.76090 Int. J. Numer. Methods Fluids 59, No. 5, 475-493 (2009). MSC: 76M25 65N99 PDFBibTeX XMLCite \textit{I. Saeedpanah} and \textit{E. Jabbari}, Int. J. Numer. Methods Fluids 59, No. 5, 475--493 (2009; Zbl 1394.76090) Full Text: DOI
Kee, Bernard B. T.; Liu, G. R.; Lu, C. A least-square radial point collocation method for adaptive analysis in linear elasticity. (English) Zbl 1244.74221 Eng. Anal. Bound. Elem. 32, No. 6, 440-460 (2008). MSC: 74S30 74B05 PDFBibTeX XMLCite \textit{B. B. T. Kee} et al., Eng. Anal. Bound. Elem. 32, No. 6, 440--460 (2008; Zbl 1244.74221) Full Text: DOI
Shamekhi, Abazar; Sadeghy, Kayvan Lid-driven cavity simulation by mesh-free method. (English) Zbl 1198.76103 Int. J. Comput. Methods 4, No. 3, 397-415 (2007). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{A. Shamekhi} and \textit{K. Sadeghy}, Int. J. Comput. Methods 4, No. 3, 397--415 (2007; Zbl 1198.76103) Full Text: DOI
Kim, Yongsik; Kim, Do Wan; Jun, Sukky; Lee, Jin Ho Meshfree point collocation method for the stream-vorticity formulation of 2D incompressible Navier-Stokes equations. (English) Zbl 1173.76386 Comput. Methods Appl. Mech. Eng. 196, No. 33-34, 3095-3109 (2007). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{Y. Kim} et al., Comput. Methods Appl. Mech. Eng. 196, No. 33--34, 3095--3109 (2007; Zbl 1173.76386) Full Text: DOI
Kee, Bernard B. T.; Liu, G. R.; Lu, C. A regularized least-squares radial point collocation method (RLS-RPCM) for adaptive analysis. (English) Zbl 1166.74051 Comput. Mech. 40, No. 5, 837-853 (2007). MSC: 74S30 74K10 74K20 PDFBibTeX XMLCite \textit{B. B. T. Kee} et al., Comput. Mech. 40, No. 5, 837--853 (2007; Zbl 1166.74051) Full Text: DOI
Liu, G. R.; Dai, K. Y.; Han, X.; Li, Y. A mesh-free minimum length method for 2-D problems. (English) Zbl 1168.74468 Comput. Mech. 38, No. 6, 533-550 (2006). MSC: 74S30 74K10 74K20 PDFBibTeX XMLCite \textit{G. R. Liu} et al., Comput. Mech. 38, No. 6, 533--550 (2006; Zbl 1168.74468) Full Text: DOI
Liu, G. R.; Kee, Bernard B. T.; Chun, Lu A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis. (English) Zbl 1128.74050 Comput. Methods Appl. Mech. Eng. 195, No. 37-40, 4843-4861 (2006). MSC: 74S30 PDFBibTeX XMLCite \textit{G. R. Liu} et al., Comput. Methods Appl. Mech. Eng. 195, No. 37--40, 4843--4861 (2006; Zbl 1128.74050) Full Text: DOI
Dai, K. Y.; Liu, G. R.; Han, X.; Li, Y. Inelastic analysis of 2D solids using a weak-form RPIM based on deformation theory. (English) Zbl 1176.74209 Comput. Methods Appl. Mech. Eng. 195, No. 33-36, 4179-4193 (2006). MSC: 74S30 74C99 PDFBibTeX XMLCite \textit{K. Y. Dai} et al., Comput. Methods Appl. Mech. Eng. 195, No. 33--36, 4179--4193 (2006; Zbl 1176.74209) Full Text: DOI