Mohammadi, M.; Hematiyan, M. R. Analysis of transient uncoupled thermoelastic problems involving moving point heat sources using the method of fundamental solutions. (English) Zbl 07305284 Eng. Anal. Bound. Elem. 123, 122-132 (2021). MSC: 74 35 PDF BibTeX XML Cite \textit{M. Mohammadi} and \textit{M. R. Hematiyan}, Eng. Anal. Bound. Elem. 123, 122--132 (2021; Zbl 07305284) Full Text: DOI
Xu, Nengxiong; Mei, Gang; Qin, Jiayu; Li, Yazhe; Xu, Liangliang GeoMFree \(^{\operatorname{3D}}\): a package of meshfree local radial point interpolation method (RPIM) for geomechanics. (English) Zbl 07288708 Comput. Math. Appl. 81, 113-132 (2021). MSC: 74S99 74L05 74L10 PDF BibTeX XML Cite \textit{N. Xu} et al., Comput. Math. Appl. 81, 113--132 (2021; Zbl 07288708) Full Text: DOI
Kwak, Songhun; Kim, Kwanghun; Choe, Kwangnam; Yun, Kumchol A local gradient smoothing method for solving strong form governing equation. (English) Zbl 07305808 Eur. J. Mech., A, Solids 84, Article ID 104073, 15 p. (2020). MSC: 74 PDF BibTeX XML Cite \textit{S. Kwak} et al., Eur. J. Mech., A, Solids 84, Article ID 104073, 15 p. (2020; Zbl 07305808) Full Text: DOI
Ge, Liang; Shen, Wanfang; Liu, Wenbin Meshfree finite volume element method for constrained optimal control problem governed by random convection diffusion equations. (English) Zbl 07295063 Commun. Math. Res. 36, No. 2, 229-246 (2020). MSC: 65M08 49J20 49J55 PDF BibTeX XML Cite \textit{L. Ge} et al., Commun. Math. Res. 36, No. 2, 229--246 (2020; Zbl 07295063) Full Text: DOI
Wendland, Holger; Künemund, Jens Solving partial differential equations on (evolving) surfaces with radial basis functions. (English) Zbl 07286542 Adv. Comput. Math. 46, No. 4, Paper No. 64, 37 p. (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M70 65M20 65N30 65N35 65N06 65M15 35K58 PDF BibTeX XML Cite \textit{H. Wendland} and \textit{J. Künemund}, Adv. Comput. Math. 46, No. 4, Paper No. 64, 37 p. (2020; Zbl 07286542) Full Text: DOI
Yang, Dong-Sheng; Ling, Jing A novel boundary-type element-free method for 3D thermal analysis in inhomogeneous media with variable thermal source. (English) Zbl 07283151 Comput. Math. Appl. 80, No. 12, 3123-3136 (2020). MSC: 74S99 74F05 74E05 80A19 PDF BibTeX XML Cite \textit{D.-S. Yang} and \textit{J. Ling}, Comput. Math. Appl. 80, No. 12, 3123--3136 (2020; Zbl 07283151) Full Text: DOI
Zhuang, Xiaoying; Nanthakumar, S. S.; Rabczuk, Timon A meshfree formulation for large deformation analysis of flexoelectric structures accounting for the surface effects. (English) Zbl 07268618 Eng. Anal. Bound. Elem. 120, 153-165 (2020). MSC: 74 78 PDF BibTeX XML Cite \textit{X. Zhuang} et al., Eng. Anal. Bound. Elem. 120, 153--165 (2020; Zbl 07268618) Full Text: DOI
Lin, Zeng; Wang, Dongdong; Qi, Dongliang; Deng, Like A Petrov-Galerkin finite element-meshfree formulation for multi-dimensional fractional diffusion equations. (English) Zbl 07262494 Comput. Mech. 66, No. 2, 323-350 (2020). MSC: 74 PDF BibTeX XML Cite \textit{Z. Lin} et al., Comput. Mech. 66, No. 2, 323--350 (2020; Zbl 07262494) Full Text: DOI
Shirzadi, Mohammad; Dehghan, Mehdi; Foroush Bastani, Ali On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation. (English) Zbl 07261585 Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105160, 18 p. (2020). MSC: 45K05 60G51 60H30 65M06 65M70 35R35 PDF BibTeX XML Cite \textit{M. Shirzadi} et al., Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105160, 18 p. (2020; Zbl 07261585) Full Text: DOI
Ghehsareh, Hadi Roohani; Zaghian, Ali; Majlesi, Ahmad The method of approximate particular solutions to simulate an anomalous mobile-immobile transport process. (English) Zbl 07245424 Math. Methods Appl. Sci. 43, No. 6, 3637-3649 (2020). MSC: 35Q35 35R11 65M70 65M06 PDF BibTeX XML Cite \textit{H. R. Ghehsareh} et al., Math. Methods Appl. Sci. 43, No. 6, 3637--3649 (2020; Zbl 07245424) Full Text: DOI
Thai, Chien H.; Phung-Van, P. A meshfree approach using naturally stabilized nodal integration for multilayer FG GPLRC complicated plate structures. (English) Zbl 07228796 Eng. Anal. Bound. Elem. 117, 346-358 (2020). MSC: 74 76 PDF BibTeX XML Cite \textit{C. H. Thai} and \textit{P. Phung-Van}, Eng. Anal. Bound. Elem. 117, 346--358 (2020; Zbl 07228796) Full Text: DOI
Liu, Xiaojing; Liu, G. R.; Wang, Jizeng; Zhou, Youhe A wavelet multi-resolution enabled interpolation Galerkin method for two-dimensional solids. (English) Zbl 07228789 Eng. Anal. Bound. Elem. 117, 251-268 (2020). MSC: 74 65 PDF BibTeX XML Cite \textit{X. Liu} et al., Eng. Anal. Bound. Elem. 117, 251--268 (2020; Zbl 07228789) Full Text: DOI
Wang, Xiaodong; Liu, Ying; Ouyang, Jie A meshfree collocation method based on moving Taylor polynomial approximation for high order partial differential equations. (English) Zbl 07228766 Eng. Anal. Bound. Elem. 116, 77-92 (2020). MSC: 65 41 PDF BibTeX XML Cite \textit{X. Wang} et al., Eng. Anal. Bound. Elem. 116, 77--92 (2020; Zbl 07228766) Full Text: DOI
Matsunaga, Takuya; Koshizuka, Seiichi; Hosaka, Tomoyuki; Ishii, Eiji Moving surface mesh-incorporated particle method for numerical simulation of a liquid droplet. (English) Zbl 1435.76057 J. Comput. Phys. 409, Article ID 109349, 25 p. (2020). MSC: 76M28 76T10 76D45 PDF BibTeX XML Cite \textit{T. Matsunaga} et al., J. Comput. Phys. 409, Article ID 109349, 25 p. (2020; Zbl 1435.76057) Full Text: DOI
Alves, Carlos J. S.; Antunes, Pedro R. S.; Martins, Nuno F. M.; Valtchev, Svilen S. Solving boundary value problems on manifolds with a plane waves method. (English) Zbl 1440.65241 Appl. Math. Lett. 107, Article ID 106426, 7 p. (2020). MSC: 65N35 65N15 65J10 35R01 PDF BibTeX XML Cite \textit{C. J. S. Alves} et al., Appl. Math. Lett. 107, Article ID 106426, 7 p. (2020; Zbl 1440.65241) Full Text: DOI
Wang, Hao; Liao, Huming; Fan, Zongyue; Fan, Jiang; Stainier, Laurent; Li, Xiaobai; Li, Bo The hot optimal transportation meshfree (HOTM) method for materials under extreme dynamic thermomechanical conditions. (English) Zbl 1442.74252 Comput. Methods Appl. Mech. Eng. 364, Article ID 112958, 29 p. (2020). MSC: 74S60 65M70 74F05 80M22 PDF BibTeX XML Cite \textit{H. Wang} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112958, 29 p. (2020; Zbl 1442.74252) Full Text: DOI
Vasyliv, Yaroslav; Alexeev, Alexander Simulating incompressible flow on moving meshfree grids. (English) Zbl 07196650 Comput. Fluids 200, Article ID 104464, 16 p. (2020). MSC: 76 PDF BibTeX XML Cite \textit{Y. Vasyliv} and \textit{A. Alexeev}, Comput. Fluids 200, Article ID 104464, 16 p. (2020; Zbl 07196650) Full Text: DOI
Bode, T.; Weißenfels, C.; Wriggers, P. Mixed peridynamic formulations for compressible and incompressible finite deformations. (English) Zbl 07195849 Comput. Mech. 65, No. 5, 1365-1376 (2020). MSC: 74 PDF BibTeX XML Cite \textit{T. Bode} et al., Comput. Mech. 65, No. 5, 1365--1376 (2020; Zbl 07195849) Full Text: DOI
Gad, A. I.; Gao, X.-L. Extended Hill’s lemma for non-Cauchy continua based on a modified couple stress theory. (English) Zbl 1445.74009 Acta Mech. 231, No. 3, 977-997 (2020). MSC: 74A60 74A40 74Q05 74E30 74S99 PDF BibTeX XML Cite \textit{A. I. Gad} and \textit{X. L. Gao}, Acta Mech. 231, No. 3, 977--997 (2020; Zbl 1445.74009) Full Text: DOI
Bode, T.; Weißenfels, C.; Wriggers, P. Peridynamic Petrov-Galerkin method: a generalization of the peridynamic theory of correspondence materials. (English) Zbl 1441.74016 Comput. Methods Appl. Mech. Eng. 358, Article ID 112636, 21 p. (2020). MSC: 74A45 74S05 65N30 PDF BibTeX XML Cite \textit{T. Bode} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112636, 21 p. (2020; Zbl 1441.74016) Full Text: DOI
Matsunaga, Takuya; Södersten, Axel; Shibata, Kazuya; Koshizuka, Seiichi Improved treatment of wall boundary conditions for a particle method with consistent spatial discretization. (English) Zbl 1441.76093 Comput. Methods Appl. Mech. Eng. 358, Article ID 112624, 29 p. (2020). MSC: 76M28 76D05 65M75 PDF BibTeX XML Cite \textit{T. Matsunaga} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112624, 29 p. (2020; Zbl 1441.76093) Full Text: DOI
Li, Weidong; Nhon Nguyen-Thanh; Huang, Jiazhao; Zhou, Kun Adaptive analysis of crack propagation in thin-shell structures via an isogeometric-meshfree moving least-squares approach. (English) Zbl 1441.74210 Comput. Methods Appl. Mech. Eng. 358, Article ID 112613, 26 p. (2020). MSC: 74R10 74S05 65N30 PDF BibTeX XML Cite \textit{W. Li} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112613, 26 p. (2020; Zbl 1441.74210) Full Text: DOI
Serroukh, H. Karim; Mabssout, M.; Herreros, M. I. Updated Lagrangian Taylor-SPH method for large deformation in dynamic problems. (English) Zbl 07193125 Appl. Math. Modelling 80, 238-256 (2020). MSC: 74 76 PDF BibTeX XML Cite \textit{H. K. Serroukh} et al., Appl. Math. Modelling 80, 238--256 (2020; Zbl 07193125) Full Text: DOI
Ghoneim, Adam Yehudi A smoothed particle hydrodynamics-phase field method with radial basis functions and moving least squares for meshfree simulation of dendritic solidification. (English) Zbl 07193052 Appl. Math. Modelling 77, Part 2, 1704-1741 (2020). MSC: 80 65 PDF BibTeX XML Cite \textit{A. Y. Ghoneim}, Appl. Math. Modelling 77, Part 2, 1704--1741 (2020; Zbl 07193052) Full Text: DOI
Khosravifard, A.; Hematiyan, M. R.; Ghiasi, N. A meshfree method with dynamic node reconfiguration for analysis of thermo-elastic problems with moving concentrated heat sources. (English) Zbl 07190992 Appl. Math. Modelling 79, 624-638 (2020). MSC: 74 76 PDF BibTeX XML Cite \textit{A. Khosravifard} et al., Appl. Math. Modelling 79, 624--638 (2020; Zbl 07190992) Full Text: DOI
Li, Hengguang; Zhang, Qinghui A meshfree finite volume method with optimal numerical integration and direct imposition of essential boundary conditions. (English) Zbl 1433.74112 Appl. Numer. Math. 153, 98-113 (2020). MSC: 74S10 PDF BibTeX XML Cite \textit{H. Li} and \textit{Q. Zhang}, Appl. Numer. Math. 153, 98--113 (2020; Zbl 1433.74112) Full Text: DOI
Hussain, Manzoor; Haq, Sirajul; Ghafoor, Abdul; Ali, Ihteram Numerical solutions of time-fractional coupled viscous Burgers’ equations using meshfree spectral method. (English) Zbl 1449.65273 Comput. Appl. Math. 39, No. 1, Paper No. 6, 21 p. (2020). MSC: 65M70 35R11 26A33 65M06 65N35 PDF BibTeX XML Cite \textit{M. Hussain} et al., Comput. Appl. Math. 39, No. 1, Paper No. 6, 21 p. (2020; Zbl 1449.65273) Full Text: DOI
Ren, Bo; Wu, C. T.; Lyu, Dandan An \(h\)-adaptive meshfree-enriched finite element method based on convex approximations for the three-dimensional ductile crack propagation simulation. (English) Zbl 1440.65153 Comput. Aided Geom. Des. 76, Article ID 101795, 15 p. (2020). MSC: 65M75 65M60 65M06 65M50 74S05 74R10 35Q74 PDF BibTeX XML Cite \textit{B. Ren} et al., Comput. Aided Geom. Des. 76, Article ID 101795, 15 p. (2020; Zbl 1440.65153) Full Text: DOI
Arora, Geeta; Bhatia, Gurpreet Singh A meshfree numerical technique based on radial basis function pseudospectral method for Fisher’s equation. (English) Zbl 07168434 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 1, 37-49 (2020). MSC: 65M70 65N35 65M99 PDF BibTeX XML Cite \textit{G. Arora} and \textit{G. S. Bhatia}, Int. J. Nonlinear Sci. Numer. Simul. 21, No. 1, 37--49 (2020; Zbl 07168434) Full Text: DOI
Zarei, A.; Khosravifard, A. Meshfree investigation of the vibrational behavior of pre-stressed laminated composite plates based on a variationally consistent plate model. (English) Zbl 07153258 Eng. Anal. Bound. Elem. 111, 118-133 (2020). MSC: 74 65 PDF BibTeX XML Cite \textit{A. Zarei} and \textit{A. Khosravifard}, Eng. Anal. Bound. Elem. 111, 118--133 (2020; Zbl 07153258) Full Text: DOI
Pu, Nana; Ji, Le; Ma, Wentao A nesting cell-based smoothed radial point interpolation method with two-level smoothed strains for static, free and forced vibration analysis of solids. (English) Zbl 07153257 Eng. Anal. Bound. Elem. 111, 101-117 (2020). MSC: 74 65 PDF BibTeX XML Cite \textit{N. Pu} et al., Eng. Anal. Bound. Elem. 111, 101--117 (2020; Zbl 07153257) Full Text: DOI
Wang, Jiarui; Wu, Junchao; Wang, Dongdong A quasi-consistent integration method for efficient meshfree analysis of Helmholtz problems with plane wave basis functions. (English) Zbl 07153240 Eng. Anal. Bound. Elem. 110, 42-55 (2020). MSC: 65 74 PDF BibTeX XML Cite \textit{J. Wang} et al., Eng. Anal. Bound. Elem. 110, 42--55 (2020; Zbl 07153240) Full Text: DOI
You, Xiangyu; Li, Wei; Chai, Yingbin A truly meshfree method for solving acoustic problems using local weak form and radial basis functions. (English) Zbl 1433.65318 Appl. Math. Comput. 365, Article ID 124694, 30 p. (2020). MSC: 65N30 35J05 PDF BibTeX XML Cite \textit{X. You} et al., Appl. Math. Comput. 365, Article ID 124694, 30 p. (2020; Zbl 1433.65318) Full Text: DOI
Suchde, Pratik; Kuhnert, Jörg A fully Lagrangian meshfree framework for PDEs on evolving surfaces. (English) Zbl 1452.65178 J. Comput. Phys. 395, 38-59 (2019). MSC: 65M06 35R01 35R37 PDF BibTeX XML Cite \textit{P. Suchde} and \textit{J. Kuhnert}, J. Comput. Phys. 395, 38--59 (2019; Zbl 1452.65178) Full Text: DOI
Yan, Jiale; Li, Shaofan; Zhang, A-Man; Kan, Xingyu; Sun, Peng-Nan Updated Lagrangian particle hydrodynamics (ULPH) modeling and simulation of multiphase flows. (English) Zbl 1452.76186 J. Comput. Phys. 393, 406-437 (2019). MSC: 76M28 65M75 76N06 76D45 76T10 PDF BibTeX XML Cite \textit{J. Yan} et al., J. Comput. Phys. 393, 406--437 (2019; Zbl 1452.76186) Full Text: DOI
Li, Yan; Liu, G. R. An element-free smoothed radial point interpolation method (EFS-RPIM) for 2D and 3D solid mechanics problems. (English) Zbl 1442.65406 Comput. Math. Appl. 77, No. 2, 441-465 (2019). MSC: 65N35 PDF BibTeX XML Cite \textit{Y. Li} and \textit{G. R. Liu}, Comput. Math. Appl. 77, No. 2, 441--465 (2019; Zbl 1442.65406) Full Text: DOI
Wang, Dongdong; Wu, Junchao An inherently consistent reproducing kernel gradient smoothing framework toward efficient Galerkin meshfree formulation with explicit quadrature. (English) Zbl 1441.74278 Comput. Methods Appl. Mech. Eng. 349, 628-672 (2019). MSC: 74S05 65N30 PDF BibTeX XML Cite \textit{D. Wang} and \textit{J. Wu}, Comput. Methods Appl. Mech. Eng. 349, 628--672 (2019; Zbl 1441.74278) Full Text: DOI
Ma, Wentao; Liu, Guojun; Ma, Hailong A two-level nesting smoothed meshfree method for structural dynamic analysis. (English) Zbl 07187284 Appl. Math. Modelling 76, 282-310 (2019). MSC: 74 65 PDF BibTeX XML Cite \textit{W. Ma} et al., Appl. Math. Modelling 76, 282--310 (2019; Zbl 07187284) Full Text: DOI
Faraji Gargari, S.; Kolahdoozan, M.; Afshar, M. H.; Dabiri, S. An Eulerian-Lagrangian mixed discrete least squares meshfree method for incompressible multiphase flow problems. (English) Zbl 07187279 Appl. Math. Modelling 76, 193-224 (2019). MSC: 76 65 PDF BibTeX XML Cite \textit{S. Faraji Gargari} et al., Appl. Math. Modelling 76, 193--224 (2019; Zbl 07187279) Full Text: DOI
Xue, Tao; Zhang, Xiaobing; Tamma, Kumar K. A non-local dissipative Lagrangian modelling for generalized thermoelasticity in solids. (English) Zbl 07187144 Appl. Math. Modelling 73, 247-265 (2019). MSC: 74 76 PDF BibTeX XML Cite \textit{T. Xue} et al., Appl. Math. Modelling 73, 247--265 (2019; Zbl 07187144) Full Text: DOI
Anshuman, Aatish; Eldho, T. I. Modeling of transport of first-order reaction networks in porous media using meshfree radial point collocation method. (English) Zbl 1425.76232 Comput. Geosci. 23, No. 6, 1369-1385 (2019). MSC: 76S05 65M70 86A05 PDF BibTeX XML Cite \textit{A. Anshuman} and \textit{T. I. Eldho}, Comput. Geosci. 23, No. 6, 1369--1385 (2019; Zbl 1425.76232) Full Text: DOI
Nagevadiya, Bhaumik; Vaghasia, Bhavik; Rachchh, Nikunj; Bhoraniya, Ramesh Galerkin meshfree methods: a review and mathematical implementation aspects. (English) Zbl 07127913 Int. J. Appl. Comput. Math. 5, No. 4, Paper No. 105, 11 p. (2019). MSC: 74 76 PDF BibTeX XML Cite \textit{B. Nagevadiya} et al., Int. J. Appl. Comput. Math. 5, No. 4, Paper No. 105, 11 p. (2019; Zbl 07127913) Full Text: DOI
Khosrowpour, E.; Hematiyan, M. R.; Hajhashemkhani, M. A strong-form meshfree method for stress analysis of hyperelastic materials. (English) Zbl 07127488 Eng. Anal. Bound. Elem. 109, 32-42 (2019). MSC: 74 76 PDF BibTeX XML Cite \textit{E. Khosrowpour} et al., Eng. Anal. Bound. Elem. 109, 32--42 (2019; Zbl 07127488) Full Text: DOI
Vasyliv, Yaroslav; Alexeev, Alexander Development of general finite differences for complex geometries using a sharp interface formulation. (English) Zbl 07124619 Comput. Fluids 193, Article ID 103959, 17 p. (2019). MSC: 65N06 65N08 35J05 PDF BibTeX XML Cite \textit{Y. Vasyliv} and \textit{A. Alexeev}, Comput. Fluids 193, Article ID 103959, 17 p. (2019; Zbl 07124619) Full Text: DOI
Liu, Xiaojing; Liu, G. R.; Wang, Jizeng; Zhou, Youhe A wavelet multiresolution interpolation Galerkin method for targeted local solution enrichment. (English) Zbl 07119149 Comput. Mech. 64, No. 4, 989-1016 (2019). MSC: 74 PDF BibTeX XML Cite \textit{X. Liu} et al., Comput. Mech. 64, No. 4, 989--1016 (2019; Zbl 07119149) Full Text: DOI
Esmaeili, Hamid; Moazami, Davoud A kernel-based technique to solve three-dimensional linear Fredholm integral equations of the second kind over general domains. (English) Zbl 1449.65358 Comput. Appl. Math. 38, No. 4, Paper No. 181, 26 p. (2019). MSC: 65R20 33E30 41A30 45B05 PDF BibTeX XML Cite \textit{H. Esmaeili} and \textit{D. Moazami}, Comput. Appl. Math. 38, No. 4, Paper No. 181, 26 p. (2019; Zbl 1449.65358) Full Text: DOI
Wu, Yu; Qin, Xia; Wu, Tianwen; Peng, Linxin Numerical solution of frequencies of stiffened skew plate on elastic foundation via meshfree method. (Chinese. English summary) Zbl 1438.74158 Chin. J. Comput. Mech. 36, No. 1, 110-116 (2019). MSC: 74S99 74K20 65M50 PDF BibTeX XML Cite \textit{Y. Wu} et al., Chin. J. Comput. Mech. 36, No. 1, 110--116 (2019; Zbl 1438.74158) Full Text: DOI
Wang, Bingbing; Duan, Qinglin; Li, Shuhui; Yang, Dixiong High order meshfree method with nodal integration for thin plate bending analysis. (Chinese. English summary) Zbl 1438.74157 Chin. J. Comput. Mech. 36, No. 1, 103-109 (2019). MSC: 74S99 74K20 PDF BibTeX XML Cite \textit{B. Wang} et al., Chin. J. Comput. Mech. 36, No. 1, 103--109 (2019; Zbl 1438.74157) Full Text: DOI
Mao, Zirui; Liu, G. R.; Huang, Yu A local Lagrangian gradient smoothing method for fluids and fluid-like solids: a novel particle-like method. (English) Zbl 07110378 Eng. Anal. Bound. Elem. 107, 96-114 (2019). MSC: 76 74 PDF BibTeX XML Cite \textit{Z. Mao} et al., Eng. Anal. Bound. Elem. 107, 96--114 (2019; Zbl 07110378) Full Text: DOI
Haq, Sirajul; Hussain, Manzoor Application of meshfree spectral method for the solution of multi-dimensional time-fractional Sobolev equations. (English) Zbl 07110335 Eng. Anal. Bound. Elem. 106, 201-216 (2019). MSC: 65 41 PDF BibTeX XML Cite \textit{S. Haq} and \textit{M. Hussain}, Eng. Anal. Bound. Elem. 106, 201--216 (2019; Zbl 07110335) Full Text: DOI
De Marchi, S.; Martínez, A.; Perracchione, E.; Rossini, M. RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels. (English) Zbl 1415.65026 J. Sci. Comput. 79, No. 1, 321-344 (2019). MSC: 65D05 65N35 65N12 PDF BibTeX XML Cite \textit{S. De Marchi} et al., J. Sci. Comput. 79, No. 1, 321--344 (2019; Zbl 1415.65026) Full Text: DOI
Yang, Y.; Kou, K. P.; Lam, C. C. In-plane free vibration of circular and annular FG disks. (English) Zbl 07074002 Int. J. Comput. Methods 16, No. 6, Article ID 1840024, 14 p. (2019). MSC: 74 76 PDF BibTeX XML Cite \textit{Y. Yang} et al., Int. J. Comput. Methods 16, No. 6, Article ID 1840024, 14 p. (2019; Zbl 07074002) 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 65 PDF BibTeX XML Cite \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
Ye, Qi Kernel-based probability measures for interpolations. (English) Zbl 1415.41009 Appl. Comput. Harmon. Anal. 47, No. 1, 226-234 (2019). MSC: 41A65 46E22 65D05 65R99 PDF BibTeX XML Cite \textit{Q. Ye}, Appl. Comput. Harmon. Anal. 47, No. 1, 226--234 (2019; Zbl 1415.41009) Full Text: DOI
Wessels, H.; Bode, T.; Weißenfels, C.; Wriggers, P.; Zohdi, T. I. Investigation of heat source modeling for selective laser melting. (English) Zbl 07053703 Comput. Mech. 63, No. 5, 949-970 (2019). MSC: 74 PDF BibTeX XML Cite \textit{H. Wessels} et al., Comput. Mech. 63, No. 5, 949--970 (2019; Zbl 07053703) Full Text: DOI
He, Qizhi; Chen, Jiun-Shyan; Marodon, Camille A decomposed subspace reduction for fracture mechanics based on the meshfree integrated singular basis function method. (English) Zbl 07037458 Comput. Mech. 63, No. 3, 593-614 (2019). MSC: 74 PDF BibTeX XML Cite \textit{Q. He} et al., Comput. Mech. 63, No. 3, 593--614 (2019; Zbl 07037458) Full Text: DOI
Alves, Carlos J. S.; Antunes, Pedro R. S. Determination of elastic resonance frequencies and eigenmodes using the method of fundamental solutions. (English) Zbl 07034737 Eng. Anal. Bound. Elem. 101, 330-342 (2019). MSC: 74 35 PDF BibTeX XML Cite \textit{C. J. S. Alves} and \textit{P. R. S. Antunes}, Eng. Anal. Bound. Elem. 101, 330--342 (2019; Zbl 07034737) 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 07024097 Comput. Mech. 63, No. 1, 35-48 (2019). MSC: 74 PDF BibTeX XML Cite \textit{Y. X. Peng} et al., Comput. Mech. 63, No. 1, 35--48 (2019; Zbl 07024097) Full Text: DOI
Markous, Nevine A. Boundary mesh free method with distributed sources for 2D elasticity problems. (English) Zbl 07014414 Eng. Anal. Bound. Elem. 100, 95-100 (2019). MSC: 74 35 PDF BibTeX XML Cite \textit{N. A. Markous}, Eng. Anal. Bound. Elem. 100, 95--100 (2019; Zbl 07014414) Full Text: DOI
De Marchi, S.; Martínez, A.; Perracchione, E. Fast and stable rational RBF-based partition of unity interpolation. (English) Zbl 07006433 J. Comput. Appl. Math. 349, 331-343 (2019). MSC: 65D05 65D15 65D17 PDF BibTeX XML Cite \textit{S. De Marchi} et al., J. Comput. Appl. Math. 349, 331--343 (2019; Zbl 07006433) Full Text: DOI
Mellouli, H.; Jrad, H.; Wali, M.; Dammak, F. Meshfree implementation of the double director shell model for FGM shell structures analysis. (English) Zbl 07006022 Eng. Anal. Bound. Elem. 99, 111-121 (2019). MSC: 74 65 PDF BibTeX XML Cite \textit{H. Mellouli} et al., Eng. Anal. Bound. Elem. 99, 111--121 (2019; Zbl 07006022) Full Text: DOI
Yoon, Young-Cheol; Schaefferkoetter, Peter; Rabczuk, Timon; Song, Jeong-Hoon New strong formulation for material nonlinear problems based on the particle difference method. (English) Zbl 1404.74197 Eng. Anal. Bound. Elem. 98, 310-327 (2019). MSC: 74S20 65N06 74A20 74B20 PDF BibTeX XML Cite \textit{Y.-C. Yoon} et al., Eng. Anal. Bound. Elem. 98, 310--327 (2019; Zbl 1404.74197) Full Text: DOI
Ortiz-Bernardin, A.; Köbrich, P.; Hale, J. S.; Olate-Sanzana, E.; Bordas, S. P. A.; Natarajan, S. A volume-averaged nodal projection method for the Reissner-Mindlin plate model. (English) Zbl 1440.74433 Comput. Methods Appl. Mech. Eng. 341, 827-850 (2018). MSC: 74S05 65N30 74K20 PDF BibTeX XML Cite \textit{A. Ortiz-Bernardin} et al., Comput. Methods Appl. Mech. Eng. 341, 827--850 (2018; Zbl 1440.74433) Full Text: DOI
Yang, Wen-Chia; Arduino, Pedro; Miller, Gregory R.; Mackenzie-Helnwein, Peter Smoothing algorithm for stabilization of the material point method for fluid-solid interaction problems. (English) Zbl 1440.74453 Comput. Methods Appl. Mech. Eng. 342, 177-199 (2018). MSC: 74S05 65M60 74F10 74H55 PDF BibTeX XML Cite \textit{W.-C. Yang} et al., Comput. Methods Appl. Mech. Eng. 342, 177--199 (2018; Zbl 1440.74453) Full Text: DOI
Pasetto, Marco; Leng, Yu; Chen, Jiun-Shyan; Foster, John T.; Seleson, Pablo A reproducing kernel enhanced approach for peridynamic solutions. (English) Zbl 1440.74478 Comput. Methods Appl. Mech. Eng. 340, 1044-1078 (2018). MSC: 74S99 65M99 74A45 PDF BibTeX XML Cite \textit{M. Pasetto} et al., Comput. Methods Appl. Mech. Eng. 340, 1044--1078 (2018; Zbl 1440.74478) Full Text: DOI
Wang, Dongdong; Wang, Jiarui; Wu, Junchao Superconvergent gradient smoothing meshfree collocation method. (English) Zbl 1440.65255 Comput. Methods Appl. Mech. Eng. 340, 728-766 (2018). MSC: 65N35 PDF BibTeX XML Cite \textit{D. Wang} et al., Comput. Methods Appl. Mech. Eng. 340, 728--766 (2018; Zbl 1440.65255) Full Text: DOI
Wessels, H.; Weißenfels, C.; Wriggers, P. Metal particle fusion analysis for additive manufacturing using the stabilized optimal transportation meshfree method. (English) Zbl 1440.74146 Comput. Methods Appl. Mech. Eng. 339, 91-114 (2018). MSC: 74F25 80A22 PDF BibTeX XML Cite \textit{H. Wessels} et al., Comput. Methods Appl. Mech. Eng. 339, 91--114 (2018; Zbl 1440.74146) Full Text: DOI
Li, Weidong; Nguyen-Thanh, Nhon; Zhou, Kun Geometrically nonlinear analysis of thin-shell structures based on an isogeometric-meshfree coupling approach. (English) Zbl 1440.74420 Comput. Methods Appl. Mech. Eng. 336, 111-134 (2018). MSC: 74S05 65N30 65D07 74K25 PDF BibTeX XML Cite \textit{W. Li} et al., Comput. Methods Appl. Mech. Eng. 336, 111--134 (2018; Zbl 1440.74420) Full Text: DOI
Goh, Chun Meng; Nielsen, Poul Michael Fønss; Nash, Martyn Peter A stabilised mixed meshfree method for incompressible media: application to linear elasticity and Stokes flow. (English) Zbl 1439.74500 Comput. Methods Appl. Mech. Eng. 329, 575-598 (2018). MSC: 74S99 65N35 74B05 76D07 PDF BibTeX XML Cite \textit{C. M. Goh} et al., Comput. Methods Appl. Mech. Eng. 329, 575--598 (2018; Zbl 1439.74500) Full Text: DOI
Weißenfels, C.; Wriggers, P. Stabilization algorithm for the optimal transportation meshfree approximation scheme. (English) Zbl 1439.65123 Comput. Methods Appl. Mech. Eng. 329, 421-443 (2018). MSC: 65M60 PDF BibTeX XML Cite \textit{C. Weißenfels} and \textit{P. Wriggers}, Comput. Methods Appl. Mech. Eng. 329, 421--443 (2018; Zbl 1439.65123) Full Text: DOI
Haq, Sirajul; Hussain, Manzoor Selection of shape parameter in radial basis functions for solution of time-fractional Black-Scholes models. (English) Zbl 1427.35322 Appl. Math. Comput. 335, 248-263 (2018). MSC: 35R11 35Q91 PDF BibTeX XML Cite \textit{S. Haq} and \textit{M. Hussain}, Appl. Math. Comput. 335, 248--263 (2018; Zbl 1427.35322) Full Text: DOI
Doss, L. Jones Tarcius; Kousalya, N. Finite pointset method for biharmonic equations. (English) Zbl 1419.65141 Comput. Math. Appl. 75, No. 10, 3756-3785 (2018). MSC: 65N75 35J40 65K10 PDF BibTeX XML Cite \textit{L. J. T. Doss} and \textit{N. Kousalya}, Comput. Math. Appl. 75, No. 10, 3756--3785 (2018; Zbl 1419.65141) Full Text: DOI
Schneider-Muntau, Barbara; Bathaeian, Iman Simulation of settlement and bearing capacity of shallow foundations with soft particle code (SPARC) and FE. (English) Zbl 1415.74047 GEM. Int. J. Geomath. 9, No. 2, 359-375 (2018). MSC: 74S05 74S60 35D35 35Q74 65D05 65M75 65M60 74D10 74C15 PDF BibTeX XML Cite \textit{B. Schneider-Muntau} and \textit{I. Bathaeian}, GEM. Int. J. Geomath. 9, No. 2, 359--375 (2018; Zbl 1415.74047) Full Text: DOI
Shankar, Varun; Fogelson, Aaron L. Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations. (English) Zbl 1415.65199 J. Comput. Phys. 372, 616-639 (2018). MSC: 65M06 65M70 PDF BibTeX XML Cite \textit{V. Shankar} and \textit{A. L. Fogelson}, J. Comput. Phys. 372, 616--639 (2018; Zbl 1415.65199) Full Text: DOI
Cheng, Gong; Shcherbakov, Victor Anisotropic radial basis function methods for continental size ice sheet simulations. (English) Zbl 1415.76497 J. Comput. Phys. 372, 161-177 (2018). MSC: 76M25 86A40 76A05 65N35 PDF BibTeX XML Cite \textit{G. Cheng} and \textit{V. Shcherbakov}, J. Comput. Phys. 372, 161--177 (2018; Zbl 1415.76497) Full Text: DOI
Gao, Xin; Duan, Qinglin; Li, Shuhui; Chen, Biaosong Consistent high order meshfree method for crack problems. (Chinese. English summary) Zbl 1424.74050 Chin. J. Comput. Mech. 35, No. 3, 275-282 (2018). MSC: 74S30 74R99 PDF BibTeX XML Cite \textit{X. Gao} et al., Chin. J. Comput. Mech. 35, No. 3, 275--282 (2018; Zbl 1424.74050) Full Text: DOI
Alves, Carlos J. S.; Valtchev, Svilen S. On the application of the method of fundamental solutions to boundary value problems with jump discontinuities. (English) Zbl 1426.65199 Appl. Math. Comput. 320, 61-74 (2018). MSC: 65N80 35J05 65N35 PDF BibTeX XML Cite \textit{C. J. S. Alves} and \textit{S. S. Valtchev}, Appl. Math. Comput. 320, 61--74 (2018; Zbl 1426.65199) Full Text: DOI
Francomano, Elisa; Paliaga, Marta Detecting tri-stability of 3D models with complex attractors via meshfree reconstruction of invariant manifolds of saddle points. (English) Zbl 1406.65133 Math. Methods Appl. Sci. 41, No. 17, 7450-7458 (2018). MSC: 65P30 37M20 65P40 PDF BibTeX XML Cite \textit{E. Francomano} and \textit{M. Paliaga}, Math. Methods Appl. Sci. 41, No. 17, 7450--7458 (2018; Zbl 1406.65133) Full Text: DOI
Ying, Yuping; Lian, Yanping; Tang, Shaoqiang; Liu, Wing Kam Enriched reproducing kernel particle method for fractional advection-diffusion equation. (English) Zbl 1404.65070 Acta Mech. Sin. 34, No. 3, 515-527 (2018). MSC: 65L10 34A08 PDF BibTeX XML Cite \textit{Y. Ying} et al., Acta Mech. Sin. 34, No. 3, 515--527 (2018; Zbl 1404.65070) Full Text: DOI
Atri, H. R.; Shojaee, S. Meshfree truncated hierarchical refinement for isogeometric analysis. (English) Zbl 06989155 Comput. Mech. 62, No. 6, 1583-1597 (2018). MSC: 74 PDF BibTeX XML Cite \textit{H. R. Atri} and \textit{S. Shojaee}, Comput. Mech. 62, No. 6, 1583--1597 (2018; Zbl 06989155) Full Text: DOI
Olliff, James; Alford, Brad; Simkins, Daniel C. jun. Efficient searching in meshfree methods. (English) Zbl 06989149 Comput. Mech. 62, No. 6, 1461-1483 (2018). MSC: 74 PDF BibTeX XML Cite \textit{J. Olliff} et al., Comput. Mech. 62, No. 6, 1461--1483 (2018; Zbl 06989149) Full Text: DOI
Nguyen-Thanh, Nhon; Li, Weidong; Zhou, Kun Static and free-vibration analyses of cracks in thin-shell structures based on an isogeometric-meshfree coupling approach. (English) Zbl 06989140 Comput. Mech. 62, No. 6, 1287-1309 (2018). MSC: 74 PDF BibTeX XML Cite \textit{N. Nguyen-Thanh} et al., Comput. Mech. 62, No. 6, 1287--1309 (2018; Zbl 06989140) Full Text: DOI
Solanki, Manoj Kumar; Kumar, Rahul; Singh, Jeeoot Flexure analysis of laminated plates using multiquadratic RBF based meshfree method. (English) Zbl 1404.74206 Int. J. Comput. Methods 15, No. 6, Article ID 1850049, 28 p. (2018). MSC: 74S30 65M70 74K20 74E30 PDF BibTeX XML Cite \textit{M. K. Solanki} et al., Int. J. Comput. Methods 15, No. 6, Article ID 1850049, 28 p. (2018; Zbl 1404.74206) Full Text: DOI
Wang, Yong; Wang, Fangzong Pseudo-spectral-differential quadrature coupled method for a class of hyperbolic telegraph equations. (Chinese. English summary) Zbl 1413.65386 Chin. J. Comput. Mech. 35, No. 1, 69-75 (2018). MSC: 65M70 65D32 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{F. Wang}, Chin. J. Comput. Mech. 35, No. 1, 69--75 (2018; Zbl 1413.65386) Full Text: DOI
Ling, Leevan; Ye, Qi On meshfree numerical differentiation. (English) Zbl 1415.65053 Anal. Appl., Singap. 16, No. 5, 717-739 (2018). MSC: 65D25 PDF BibTeX XML Cite \textit{L. Ling} and \textit{Q. Ye}, Anal. Appl., Singap. 16, No. 5, 717--739 (2018; Zbl 1415.65053) Full Text: DOI
Thai, Chien H.; Ferreira, A. J. M.; Rabczuk, T.; Nguyen-Xuan, H. A naturally stabilized nodal integration meshfree formulation for carbon nanotube-reinforced composite plate analysis. (English) Zbl 1403.74322 Eng. Anal. Bound. Elem. 92, 136-155 (2018). MSC: 74S30 74E30 74K20 82D80 PDF BibTeX XML Cite \textit{C. H. Thai} et al., Eng. Anal. Bound. Elem. 92, 136--155 (2018; Zbl 1403.74322) Full Text: DOI
Thomas, Alice; Majumdar, Partha; Eldho, T. I.; Rastogi, A. K. Simulation optimization model for aquifer parameter estimation using coupled meshfree point collocation method and cat swarm optimization. (English) Zbl 1403.76162 Eng. Anal. Bound. Elem. 91, 60-72 (2018). MSC: 76M25 76S05 90C59 86A05 PDF BibTeX XML Cite \textit{A. Thomas} et al., Eng. Anal. Bound. Elem. 91, 60--72 (2018; Zbl 1403.76162) Full Text: DOI
Liu, Quansheng; Sun, Lei; Tang, Xuhai; Chen, Lei Simulate intersecting 3D hydraulic cracks using a hybrid “FE-meshfree” method. (English) Zbl 1403.74116 Eng. Anal. Bound. Elem. 91, 24-43 (2018). MSC: 74S05 65N30 74R10 PDF BibTeX XML Cite \textit{Q. Liu} et al., Eng. Anal. Bound. Elem. 91, 24--43 (2018; Zbl 1403.74116) Full Text: DOI
Tajnesaie, M.; Shakibaeinia, A.; Hosseini, K. Meshfree particle numerical modelling of sub-aerial and submerged landslides. (English) Zbl 1410.76382 Comput. Fluids 172, 109-121 (2018). MSC: 76M28 65M75 76T25 PDF BibTeX XML Cite \textit{M. Tajnesaie} et al., Comput. Fluids 172, 109--121 (2018; Zbl 1410.76382) Full Text: DOI
Suchde, Pratik; Kuhnert, Jörg; Tiwari, Sudarshan On meshfree GFDM solvers for the incompressible Navier-Stokes equations. (English) Zbl 1390.76628 Comput. Fluids 165, 1-12 (2018). MSC: 76M20 65M06 76D05 PDF BibTeX XML Cite \textit{P. Suchde} et al., Comput. Fluids 165, 1--12 (2018; Zbl 1390.76628) Full Text: DOI
Du, C. F.; Zhang, D. G.; Li, L.; Liu, G. R. A node-based smoothed point interpolation method for dynamic analysis of rotating flexible beams. (English) Zbl 1390.74112 Acta Mech. Sin. 34, No. 2, 409-420 (2018). MSC: 74K10 PDF BibTeX XML Cite \textit{C. F. Du} et al., Acta Mech. Sin. 34, No. 2, 409--420 (2018; Zbl 1390.74112) Full Text: DOI
Suchde, Pratik; Kuhnert, Jörg Point cloud movement for fully Lagrangian meshfree methods. (English) Zbl 1432.76197 J. Comput. Appl. Math. 340, 89-100 (2018). MSC: 76M28 65M75 PDF BibTeX XML Cite \textit{P. Suchde} and \textit{J. Kuhnert}, J. Comput. Appl. Math. 340, 89--100 (2018; Zbl 1432.76197) Full Text: DOI
Sun, Guanhua; Yang, Yongtao; Zheng, Hong A three-node triangular element with continuous nodal stress (Trig3-CNS) for geometry nonlinear solid mechanics problems. (English) Zbl 1404.74173 Int. J. Comput. Methods 15, No. 4, Article ID 1850022, 21 p. (2018). MSC: 74S05 65N30 PDF BibTeX XML Cite \textit{G. Sun} et al., Int. J. Comput. Methods 15, No. 4, Article ID 1850022, 21 p. (2018; Zbl 1404.74173) 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 PDF BibTeX XML Cite \textit{G. R. Liu}, Int. J. Comput. Methods 15, No. 3, Article ID 1850070, 33 p. (2018; Zbl 1404.74162) Full Text: DOI
Yang, Yongtao; Tang, Xuhai; Zheng, Hong; Liu, Quansheng Four-node quadrilateral element with continuous nodal stress for geometrical nonlinear analysis. (English) Zbl 1404.65283 Int. J. Comput. Methods 15, No. 2, Article ID 1850005, 21 p. (2018). MSC: 65N30 PDF BibTeX XML Cite \textit{Y. Yang} et al., Int. J. Comput. Methods 15, No. 2, Article ID 1850005, 21 p. (2018; Zbl 1404.65283) Full Text: DOI
Ji, Yanju; Huang, Tingzhe; Huang, Wanyu; Rong, Liangliang Meshfree method in geophysical electromagnetic prospecting: the 2D magnetotelluric example. (English) Zbl 1404.86033 Int. J. Comput. Methods 15, No. 2, Article ID 1750084, 16 p. (2018). MSC: 86A25 86A20 74S05 PDF BibTeX XML Cite \textit{Y. Ji} et al., Int. J. Comput. Methods 15, No. 2, Article ID 1750084, 16 p. (2018; Zbl 1404.86033) Full Text: DOI
Cheung, Ka Chun; Ling, Leevan; Schaback, Robert \(H^2\)-convergence of least-squares kernel collocation methods. (English) Zbl 1436.65020 SIAM J. Numer. Anal. 56, No. 1, 614-633 (2018). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D15 65D12 65N35 41A63 PDF BibTeX XML Cite \textit{K. C. Cheung} et al., SIAM J. Numer. Anal. 56, No. 1, 614--633 (2018; Zbl 1436.65020) Full Text: DOI arXiv
Cavoretto, Roberto; De Rossi, Alessandra; Perracchione, Emma Optimal selection of local approximants in RBF-PU interpolation. (English) Zbl 1383.65010 J. Sci. Comput. 74, No. 1, 1-22 (2018). MSC: 65D05 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Sci. Comput. 74, No. 1, 1--22 (2018; Zbl 1383.65010) Full Text: DOI arXiv
Pan, X.; Hu, W.; Wu, C. T. A generalized approach for solution to image stresses of dislocations. (English) Zbl 1442.74151 J. Mech. Phys. Solids 103, 3-21 (2017). MSC: 74N05 74R99 74S05 PDF BibTeX XML Cite \textit{X. Pan} et al., J. Mech. Phys. Solids 103, 3--21 (2017; Zbl 1442.74151) Full Text: DOI
Saucedo-Zendejo, Felix R.; Reséndiz-Flores, Edgar O. A new approach for the numerical simulation of free surface incompressible flows using a meshfree method. (English) Zbl 1439.76130 Comput. Methods Appl. Mech. Eng. 324, 619-639 (2017). MSC: 76M28 65M70 76D05 PDF BibTeX XML Cite \textit{F. R. Saucedo-Zendejo} and \textit{E. O. Reséndiz-Flores}, Comput. Methods Appl. Mech. Eng. 324, 619--639 (2017; Zbl 1439.76130) Full Text: DOI