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Volumn 245, Issue , 2014, Pages 321-342

Error estimates for the interpolating moving least-squares method

Author keywords

Error estimate; Interpolating moving least squares (IMLS) method; Meshless method; Rate of convergence

Indexed keywords

POLYNOMIAL APPROXIMATION;

EID: 84906344848     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2014.07.072     Document Type: Article
Times cited : (58)

References (84)
  • 2
    • 0001765873 scopus 로고
    • A numerical approach to the testing of the fission hypothesis
    • L.B. Lucy A numerical approach to the testing of the fission hypothesis Astron. J. 82 1977 1013 1024
    • (1977) Astron. J. , vol.82 , pp. 1013-1024
    • Lucy, L.B.1
  • 3
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: Theory and allocation to non-spherical stars
    • R.A. Gingold, and J.J. Monaghan Smoothed particle hydrodynamics: theory and allocation to non-spherical stars Mon. Not. R. Astron. Soc. 181 1977 375 389
    • (1977) Mon. Not. R. Astron. Soc. , vol.181 , pp. 375-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 4
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • P. Lancaster, and K. Salkauskas Surfaces generated by moving least squares methods Math. Comput. 37 1981 141 158
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 5
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • B. Nayroles, G. Touzot, and P. Villon Generalizing the finite element method: diffuse approximation and diffuse elements Comput. Mech. 10 1992 307 318 (Pubitemid 23570159)
    • (1992) Computational Mechanics , vol.10 , Issue.5 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 7
    • 77953593286 scopus 로고    scopus 로고
    • Element-free Galerkin method for a kind of KdV equation
    • J.F. Wang, F.X. Sun, and R.J. Cheng Element-free Galerkin method for a kind of KdV equation Chin. Phys. B 19 2010 060201
    • (2010) Chin. Phys. B , vol.19 , pp. 060201
    • Wang, J.F.1    Sun, F.X.2    Cheng, R.J.3
  • 8
    • 79960791825 scopus 로고    scopus 로고
    • A meshless method for the compound KdV-Burges equation
    • R.J. Cheng, and Y.M. Cheng A meshless method for the compound KdV-Burges equation Chin. Phys. B 20 2011 070206
    • (2011) Chin. Phys. B , vol.20 , pp. 070206
    • Cheng, R.J.1    Cheng, Y.M.2
  • 9
    • 0033465031 scopus 로고    scopus 로고
    • Meshless Galerkin method using radial basis functions
    • H. Wendland Meshless Galerkin method using radial basis functions Math. Comput. 68 1999 1521 1531
    • (1999) Math. Comput. , vol.68 , pp. 1521-1531
    • Wendland, H.1
  • 10
    • 33947501995 scopus 로고    scopus 로고
    • Local boundary integral equation method based on radial basis functions for potential problems
    • B.D. Dai, and Y.M. Cheng Local boundary integral equation method based on radial basis functions for potential problems Acta Phys. Sin. 56 2007 597 603
    • (2007) Acta Phys. Sin. , vol.56 , pp. 597-603
    • Dai, B.D.1    Cheng, Y.M.2
  • 11
    • 35748961985 scopus 로고    scopus 로고
    • The meshless method for solving the inverse heat conduction problem with a source parameter
    • R.J. Cheng, and Y.M. Cheng The meshless method for solving the inverse heat conduction problem with a source parameter Acta Phys. Sin. 56 2007 5569 5574
    • (2007) Acta Phys. Sin. , vol.56 , pp. 5569-5574
    • Cheng, R.J.1    Cheng, Y.M.2
  • 12
    • 37349102322 scopus 로고    scopus 로고
    • The meshless method for a two-dimensional inverse heat conduction problem with a source parameter
    • R.J. Cheng, and Y.M. Cheng The meshless method for a two-dimensional inverse heat conduction problem with a source parameter Acta Mech. Sin. 39 2007 843 847
    • (2007) Acta Mech. Sin. , vol.39 , pp. 843-847
    • Cheng, R.J.1    Cheng, Y.M.2
  • 13
    • 79955666054 scopus 로고    scopus 로고
    • A meshless method for the nonlinear generalized regularized long wave equation
    • J.F. Wang, F.N. Bai, and Y.M. Cheng A meshless method for the nonlinear generalized regularized long wave equation Chin. Phys. B 20 2011 030206
    • (2011) Chin. Phys. B , vol.20 , pp. 030206
    • Wang, J.F.1    Bai, F.N.2    Cheng, Y.M.3
  • 14
    • 0032136132 scopus 로고    scopus 로고
    • A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics
    • S.N. Atluri, and T. Zhu A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics Comput. Mech. 22 1998 117 127 (Pubitemid 128620889)
    • (1998) Computational Mechanics , vol.22 , Issue.2 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 15
    • 84877330141 scopus 로고    scopus 로고
    • Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method
    • B.D. Dai, and B.J. Zheng Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method Appl. Math. Comput. 219 2013 10044 10052
    • (2013) Appl. Math. Comput. , vol.219 , pp. 10044-10052
    • Dai, B.D.1    Zheng, B.J.2
  • 16
    • 84876751692 scopus 로고    scopus 로고
    • A moving Kriging interpolation-based meshless local Petrov-Galerkin method for elastodynamic analysis
    • B.D. Dai, J. Cheng, and B.J. Zheng A moving Kriging interpolation-based meshless local Petrov-Galerkin method for elastodynamic analysis Int. J. Appl. Mech. 5 1 2013 1350011
    • (2013) Int. J. Appl. Mech. , vol.5 , Issue.1 , pp. 1350011
    • Dai, B.D.1    Cheng, J.2    Zheng, B.J.3
  • 17
    • 84899093360 scopus 로고    scopus 로고
    • An interpolating local Petrov-Galerkin method for potential problems
    • L. Chen, C. Liu, H.P. Ma, and Y.M. Cheng An interpolating local Petrov-Galerkin method for potential problems Int. J. Appl. Mech. 6 2014 1450009
    • (2014) Int. J. Appl. Mech. , vol.6 , pp. 1450009
    • Chen, L.1    Liu, C.2    Ma, H.P.3    Cheng, Y.M.4
  • 18
    • 84889690319 scopus 로고    scopus 로고
    • Geometrically nonlinear thermomechanical analysis of moderately thick functionally graded plates using a local Petrov-Galerkin approach with moving Kriging interpolation
    • P. Zhu, L.W. Zhang, and K.M. Liew Geometrically nonlinear thermomechanical analysis of moderately thick functionally graded plates using a local Petrov-Galerkin approach with moving Kriging interpolation Compos. Struct. 107 2014 298 314
    • (2014) Compos. Struct. , vol.107 , pp. 298-314
    • Zhu, P.1    Zhang, L.W.2    Liew, K.M.3
  • 19
    • 84864797575 scopus 로고    scopus 로고
    • Analyzing two-dimensional sine-Gordon equation with the mesh-free reproducing kernel particle Ritz method
    • R.J. Cheng, and K.M. Liew Analyzing two-dimensional sine-Gordon equation with the mesh-free reproducing kernel particle Ritz method Comput. Meth. Appl. Mech. Eng. 245-246 2012 132 143
    • (2012) Comput. Meth. Appl. Mech. Eng. , vol.245-246 , pp. 132-143
    • Cheng, R.J.1    Liew, K.M.2
  • 20
    • 84885082340 scopus 로고    scopus 로고
    • Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach
    • K.M. Liew, Z.X. Lei, J.L. Yu, and L.W. Zhang Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach Comput. Meth. Appl. Mech. Eng. 268 2014 1 17
    • (2014) Comput. Meth. Appl. Mech. Eng. , vol.268 , pp. 1-17
    • Liew, K.M.1    Lei, Z.X.2    Yu, J.L.3    Zhang, L.W.4
  • 21
    • 84896035313 scopus 로고    scopus 로고
    • Static and dynamic of carbon nanotube reinforced functionally graded cylindrical panels
    • L.W. Zhang, Z.X. Lei, K.M. Liew, and J.L. Yu Static and dynamic of carbon nanotube reinforced functionally graded cylindrical panels Compos. Struct. 111 2014 205 212
    • (2014) Compos. Struct. , vol.111 , pp. 205-212
    • Zhang, L.W.1    Lei, Z.X.2    Liew, K.M.3    Yu, J.L.4
  • 22
    • 84894233262 scopus 로고    scopus 로고
    • Large deflection geometrically nonlinear analysis of carbon nanotube-reinforced functionally graded cylindrical panels
    • L.W. Zhang, Z.X. Lei, K.M. Liew, and J.L. Yu Large deflection geometrically nonlinear analysis of carbon nanotube-reinforced functionally graded cylindrical panels Comput. Meth. Appl. Mech. Eng. 273 2014 1 18
    • (2014) Comput. Meth. Appl. Mech. Eng. , vol.273 , pp. 1-18
    • Zhang, L.W.1    Lei, Z.X.2    Liew, K.M.3    Yu, J.L.4
  • 23
    • 84889661530 scopus 로고    scopus 로고
    • Modeling of biological population problems using the element-free kp-Ritz method
    • R.J. Cheng, L.W. Zhang, and K.M. Liew Modeling of biological population problems using the element-free kp-Ritz method Appl. Math. Comput. 227 2014 274 290
    • (2014) Appl. Math. Comput. , vol.227 , pp. 274-290
    • Cheng, R.J.1    Zhang, L.W.2    Liew, K.M.3
  • 24
    • 84889661530 scopus 로고    scopus 로고
    • Modeling of biological population problems using the element-free Kp-Ritz method
    • R.J. Cheng, and K.M. Liew Modeling of biological population problems using the element-free Kp-Ritz method Appl. Math. Comput. 227 2014 274 290
    • (2014) Appl. Math. Comput. , vol.227 , pp. 274-290
    • Cheng, R.J.1    Liew, K.M.2
  • 25
    • 84896950197 scopus 로고    scopus 로고
    • The improved moving least-square ritz method for the one-dimensional Sine-Gordon equation
    • Q. Wei, and R.J. Cheng The improved moving least-square ritz method for the one-dimensional Sine-Gordon equation Math. Prob. Eng. 12 2014 1 10
    • (2014) Math. Prob. Eng. , vol.12 , pp. 1-10
    • Wei, Q.1    Cheng, R.J.2
  • 26
    • 17444369765 scopus 로고    scopus 로고
    • Numerical manifold method based on the method of weighted residuals
    • DOI 10.1007/s00466-004-0636-3
    • S. Li, Y.M. Cheng, and Y.F. Wu Numerical manifold method based on the method of weighted residuals Comput. Mech. 35 2005 470 480 (Pubitemid 40537794)
    • (2005) Computational Mechanics , vol.35 , Issue.6 , pp. 470-480
    • Li, S.1    Cheng, Y.2    Wu, Y.-F.3
  • 27
    • 29544440199 scopus 로고    scopus 로고
    • Enriched meshless manifold method for two-dimensional crack modeling
    • DOI 10.1016/j.tafmec.2005.09.002, PII S0167844205000868
    • S.C. Li, S.C. Li, and Y.M. Cheng Enriched meshless manifold method for two-dimensional crack modeling Theor. Appl. Fract. Mech. 44 2005 234 248 (Pubitemid 43012922)
    • (2005) Theoretical and Applied Fracture Mechanics , vol.44 , Issue.3 , pp. 234-248
    • Li, S.C.1    Li, S.C.2    Cheng, Y.M.3
  • 28
    • 35548955268 scopus 로고    scopus 로고
    • The complex variable moving least-squares approximation and its application
    • Y.M. Cheng, M.J. Peng, and J. Li The complex variable moving least-squares approximation and its application Chin. J. Theor. Appl. Mech. 37 2005 719 723
    • (2005) Chin. J. Theor. Appl. Mech. , vol.37 , pp. 719-723
    • Cheng, Y.M.1    Peng, M.J.2    Li, J.3
  • 29
    • 27544461177 scopus 로고    scopus 로고
    • A meshless method with complex variables for elasticity
    • Y.M. Cheng, and J.H. Li A meshless method with complex variables for elasticity Acta Phys. Sin. 4 2005 4463 4471
    • (2005) Acta Phys. Sin. , vol.4 , pp. 4463-4471
    • Cheng, Y.M.1    Li, J.H.2
  • 30
    • 33644653009 scopus 로고    scopus 로고
    • A complex variable meshless method for fracture problems
    • Y.M. Cheng, and J.H. Li A complex variable meshless method for fracture problems Sci. China Ser. G 49 2006 46 59
    • (2006) Sci. China Ser. G , vol.49 , pp. 46-59
    • Cheng, Y.M.1    Li, J.H.2
  • 32
    • 77953162678 scopus 로고    scopus 로고
    • The complex variable element-free Galerkin (CVEFG) method for two-dimensional elasticity problems
    • M. Peng, P. Liu, and Y.M. Cheng The complex variable element-free Galerkin (CVEFG) method for two-dimensional elasticity problems Int. J. Appl. Mech. 1 2009 367 385
    • (2009) Int. J. Appl. Mech. , vol.1 , pp. 367-385
    • Peng, M.1    Liu, P.2    Cheng, Y.M.3
  • 33
    • 78649445574 scopus 로고    scopus 로고
    • The complex variable element-free Galerkin (CVEFG) method for elasto-plasticity problems
    • M. Peng, D. Li, and Y.M. Cheng The complex variable element-free Galerkin (CVEFG) method for elasto-plasticity problems Eng. Struct. 33 2011 127 135
    • (2011) Eng. Struct. , vol.33 , pp. 127-135
    • Peng, M.1    Li, D.2    Cheng, Y.M.3
  • 34
    • 84863119485 scopus 로고    scopus 로고
    • An improved complex variable element-free Galerkin (ICVEFG) method for two-dimensional elasticity problems
    • F.N. Bai, D.M. Li, J.F. Wang, and Y.M. Cheng An improved complex variable element-free Galerkin (ICVEFG) method for two-dimensional elasticity problems Chin. Phys. B 21 2012 020204
    • (2012) Chin. Phys. B , vol.21 , pp. 020204
    • Bai, F.N.1    Li, D.M.2    Wang, J.F.3    Cheng, Y.M.4
  • 35
    • 84860867778 scopus 로고    scopus 로고
    • A novel complex variable element-free Galerkin method for two-dimensional large deformation problems
    • D.M. Li, F.N. Bai, Y.M. Cheng, and K.M. Liew A novel complex variable element-free Galerkin method for two-dimensional large deformation problems Comput. Meth. Appl. Mech. Eng. 233-236 2012 1 10
    • (2012) Comput. Meth. Appl. Mech. Eng. , vol.233-236 , pp. 1-10
    • Li, D.M.1    Bai, F.N.2    Cheng, Y.M.3    Liew, K.M.4
  • 36
    • 84866409570 scopus 로고    scopus 로고
    • A new complex variable element-free Galerkin method for two-dimensional potential problems
    • Y.M. Cheng, J.F. Wang, and F.N. Bai A new complex variable element-free Galerkin method for two-dimensional potential problems Chin. Phys. B 21 2012 090203
    • (2012) Chin. Phys. B , vol.21 , pp. 090203
    • Cheng, Y.M.1    Wang, J.F.2    Bai, F.N.3
  • 37
    • 84866397958 scopus 로고    scopus 로고
    • Complex variable element-free Galerkin (CVEFG) method for viscoelasticity problems
    • Y.M. Cheng, R. Li, and M. Peng Complex variable element-free Galerkin (CVEFG) method for viscoelasticity problems Chin. Phys. B 21 2012 090205
    • (2012) Chin. Phys. B , vol.21 , pp. 090205
    • Cheng, Y.M.1    Li, R.2    Peng, M.3
  • 38
    • 84870946982 scopus 로고    scopus 로고
    • A new complex variable meshless method for transient heat conduction problems
    • J. Wang, and Y.M. Cheng A new complex variable meshless method for transient heat conduction problems Chin. Phys. B 21 2012 120206
    • (2012) Chin. Phys. B , vol.21 , pp. 120206
    • Wang, J.1    Cheng, Y.M.2
  • 39
    • 84873371433 scopus 로고    scopus 로고
    • The complex variable element-free Galerkin (CVEFG) method for two-dimensional elastodynamics problems
    • Y.M. Cheng, J. Wang, and R. Li The complex variable element-free Galerkin (CVEFG) method for two-dimensional elastodynamics problems Int. J. Appl. Mech. 4 2012 1250042
    • (2012) Int. J. Appl. Mech. , vol.4 , pp. 1250042
    • Cheng, Y.M.1    Wang, J.2    Li, R.3
  • 40
    • 84888112560 scopus 로고    scopus 로고
    • An improved complex variable element-free Galerkin method for two-dimensional large deformation elastoplasticity problems
    • D.M. Li, K.M. Liew, and Y.M. Cheng An improved complex variable element-free Galerkin method for two-dimensional large deformation elastoplasticity problems Comput. Meth. Appl. Mech. Eng. 269 2014 72 86
    • (2014) Comput. Meth. Appl. Mech. Eng. , vol.269 , pp. 72-86
    • Li, D.M.1    Liew, K.M.2    Cheng, Y.M.3
  • 41
    • 84875250417 scopus 로고    scopus 로고
    • New complex variable meshless method for advection-diffusion problems
    • J. Wang, and Y.M. Cheng New complex variable meshless method for advection-diffusion problems Chin. Phys. B 22 2013 030208
    • (2013) Chin. Phys. B , vol.22 , pp. 030208
    • Wang, J.1    Cheng, Y.M.2
  • 42
    • 77953149569 scopus 로고    scopus 로고
    • The complex variable reproducing kernel particle method for elasto-plasticity problems
    • L. Chen, and Y.M. Cheng The complex variable reproducing kernel particle method for elasto-plasticity problems Sci. China Phys. Mech. Astron. 53 2010 954 965
    • (2010) Sci. China Phys. Mech. Astron. , vol.53 , pp. 954-965
    • Chen, L.1    Cheng, Y.M.2
  • 43
    • 84899478003 scopus 로고    scopus 로고
    • The coupling of complex variable-reproducing kernel particle method and finite element method for two-dimensional potential problems
    • Li Chen, K.M. Liew, and Y.M. Cheng The coupling of complex variable-reproducing kernel particle method and finite element method for two-dimensional potential problems Interact. Multiscale Mech. 3 2010 277
    • (2010) Interact. Multiscale Mech. , vol.3 , pp. 277
    • Chen, L.1    Liew, K.M.2    Cheng, Y.M.3
  • 44
    • 78649338771 scopus 로고    scopus 로고
    • The complex variable reproducing kernel particle method for two-dimensional elastodynamics
    • L. Chen, and Y.M. Cheng The complex variable reproducing kernel particle method for two-dimensional elastodynamics Chin. Phys. B 19 2010 090204
    • (2010) Chin. Phys. B , vol.19 , pp. 090204
    • Chen, L.1    Cheng, Y.M.2
  • 45
    • 84877974858 scopus 로고    scopus 로고
    • Combining the complex variable reproducing kernel particle method and the finite element method for solving transient heat conduction problems
    • L. Chen, H. Ma, and Y.M. Cheng Combining the complex variable reproducing kernel particle method and the finite element method for solving transient heat conduction problems Chin. Phys. B 22 2013 050202
    • (2013) Chin. Phys. B , vol.22 , pp. 050202
    • Chen, L.1    Ma, H.2    Cheng, Y.M.3
  • 46
    • 84885103807 scopus 로고    scopus 로고
    • Analyzing variable coefficient advection-diffusion problems via complex variable reproducing kernel particle method
    • Y. Weng, and Y.M. Cheng Analyzing variable coefficient advection-diffusion problems via complex variable reproducing kernel particle method Chin. Phys. B 22 2013 090204
    • (2013) Chin. Phys. B , vol.22 , pp. 090204
    • Weng, Y.1    Cheng, Y.M.2
  • 47
    • 33644660251 scopus 로고    scopus 로고
    • Boundary element-free method for elastodynamics
    • Y.M. Cheng, and M.J. Peng Boundary element-free method for elastodynamics Sci. China Ser. G 48 2005 641 657
    • (2005) Sci. China Ser. G , vol.48 , pp. 641-657
    • Cheng, Y.M.1    Peng, M.J.2
  • 48
    • 28344442464 scopus 로고    scopus 로고
    • Boundary element-free method (BEFM) for two-dimensional elastodynamic analysis using Laplace transform
    • DOI 10.1002/nme.1417
    • K.M. Liew, Y.M. Cheng, and S. Kitipornchai Boundary element-free method (BEFM) for two-dimensional elastodynamic analysis using Laplace transform Int. J. Numer. Meth. Eng. 64 2005 1610 1627 (Pubitemid 41716058)
    • (2005) International Journal for Numerical Methods in Engineering , vol.64 , Issue.12 , pp. 1610-1627
    • Liew, K.M.1    Cheng, Y.2    Kitipornchai, S.3
  • 49
    • 17744365462 scopus 로고    scopus 로고
    • A boundary element-free method (BEFM) for three-dimensional elasticity problems
    • DOI 10.1007/s00466-004-0638-1
    • S. Kitipornchai, K.M. Liew, and Y.M. Cheng A boundary element-free method (BEFM) for three-dimensional elasticity problems Comput. Mech. 36 2005 13 20 (Pubitemid 40666684)
    • (2005) Computational Mechanics , vol.36 , Issue.1 , pp. 13-20
    • Kitipornchai, S.1    Liew, K.M.2    Cheng, Y.3
  • 50
    • 32444439975 scopus 로고    scopus 로고
    • Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems
    • DOI 10.1002/nme.1489
    • K.M. Liew, Y.M. Cheng, and S. Kitipornchai Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems Int. J. Numer. Meth. Eng. 65 2006 1310 1332 (Pubitemid 43224818)
    • (2006) International Journal for Numerical Methods in Engineering , vol.65 , Issue.8 , pp. 1310-1332
    • Liew, K.M.1    Cheng, Y.2    Kitipornchai, S.3
  • 51
    • 33947577913 scopus 로고    scopus 로고
    • Analyzing the 2D fracture problems via the enriched boundary element-free method
    • DOI 10.1016/j.ijsolstr.2006.11.018, PII S0020768306004860
    • K.M. Liew, Y.M. Cheng, and S. Kitipornchai Analyzing the 2D fracture problems via the enriched boundary element-free method Int. J. Solids Struct. 44 2007 4220 4233 (Pubitemid 46483437)
    • (2007) International Journal of Solids and Structures , vol.44 , Issue.11-12 , pp. 4220-4233
    • Liew, K.M.1    Cheng, Y.2    Kitipornchai, S.3
  • 52
    • 56249135922 scopus 로고    scopus 로고
    • A boundary element-free method (BEFM) for two-dimensional potential problems
    • M. Peng, and Y.M. Cheng A boundary element-free method (BEFM) for two-dimensional potential problems Eng. Anal. Boundary Elem. 33 2009 77 82
    • (2009) Eng. Anal. Boundary Elem. , vol.33 , pp. 77-82
    • Peng, M.1    Cheng, Y.M.2
  • 53
    • 65449132743 scopus 로고    scopus 로고
    • Reply to Comments on Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems
    • Y.M. Cheng, K.M. Liew, and S. Kitipornchai Reply to Comments on Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems Int. J. Numer. Meth. Eng. 78 2009 1258 1260
    • (2009) Int. J. Numer. Meth. Eng. , vol.78 , pp. 1258-1260
    • Cheng, Y.M.1    Liew, K.M.2    Kitipornchai, S.3
  • 54
    • 70350138833 scopus 로고    scopus 로고
    • Complex variable boundary element-free method for two-dimensional elastodynamic problems
    • K.M. Liew, and Y.M. Cheng Complex variable boundary element-free method for two-dimensional elastodynamic problems Comput. Meth. Appl. Mech. Eng. 198 2009 3925 3933
    • (2009) Comput. Meth. Appl. Mech. Eng. , vol.198 , pp. 3925-3933
    • Liew, K.M.1    Cheng, Y.M.2
  • 55
    • 0033885238 scopus 로고    scopus 로고
    • Local boundary integral equation (LBIE) and it's meshless implementation for linear elasticity
    • S.N. Atluri, J. Sladek, V. Sladek, and T. Zhu The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity Comput. Mech. 25 2000 180 198 (Pubitemid 30593734)
    • (2000) Computational Mechanics , vol.25 , Issue.2 , pp. 180-198
    • Atluri, S.N.1    Sladek, J.2    Sladek, V.3    Zhu, T.4
  • 56
    • 83455207970 scopus 로고    scopus 로고
    • An improved local boundary integral equation method for two-dimensional potential problems
    • B.D. Dai, and Y.M. Cheng An improved local boundary integral equation method for two-dimensional potential problems Int. J. Appl. Mech. 2 2010 421 436
    • (2010) Int. J. Appl. Mech. , vol.2 , pp. 421-436
    • Dai, B.D.1    Cheng, Y.M.2
  • 57
    • 0033102242 scopus 로고    scopus 로고
    • Two dimensional linear elasticity by the boundary node method
    • V.S. Kothnur, S. Mukherjee, and Y.X. Mukherjee Two dimensional linear elasticity by the boundary node method Int. J. Solids Struct. 36 1999 1129 1147
    • (1999) Int. J. Solids Struct. , vol.36 , pp. 1129-1147
    • Kothnur, V.S.1    Mukherjee, S.2    Mukherjee, Y.X.3
  • 58
    • 38349104986 scopus 로고    scopus 로고
    • Analyzing 2D fracture problems with the improved element-free Galerkin method
    • Z. Zhang, K.M. Liew, Y.M. Cheng, and Y.Y. Li Analyzing 2D fracture problems with the improved element-free Galerkin method Eng. Anal. Boundary Elem. 32 2008 241 250
    • (2008) Eng. Anal. Boundary Elem. , vol.32 , pp. 241-250
    • Zhang, Z.1    Liew, K.M.2    Cheng, Y.M.3    Li, Y.Y.4
  • 59
    • 36649017509 scopus 로고    scopus 로고
    • Coupling of the improved element-free Galerkin and boundary element methods for two-dimensional elasticity problems
    • DOI 10.1016/j.enganabound.2007.06.006, PII S0955799707001208
    • Z. Zhang, K.M. Liew, and Y.M. Cheng Coupling of improved element-free Galerkin and boundary element methods for the 2D elasticity problems Eng. Anal. Boundary Elem. 32 2008 100 107 (Pubitemid 350198871)
    • (2008) Engineering Analysis with Boundary Elements , vol.32 , Issue.2 , pp. 100-107
    • Zhang, Z.1    Liew, K.M.2    Cheng, Y.3
  • 60
    • 84865450119 scopus 로고    scopus 로고
    • The improved element-free Galerkin method for three-dimensional wave equation
    • Z. Zhang, D. Li, Y.M. Cheng, and K.M. Liew The improved element-free Galerkin method for three-dimensional wave equation Acta Mech. Sin. 28 2012 808 818
    • (2012) Acta Mech. Sin. , vol.28 , pp. 808-818
    • Zhang, Z.1    Li, D.2    Cheng, Y.M.3    Liew, K.M.4
  • 61
    • 84886287244 scopus 로고    scopus 로고
    • The improved element-free Galerkin method for two-dimensional elastodynamics problems
    • Z. Zhang, Y.M. Cheng, and K.M. Liew The improved element-free Galerkin method for two-dimensional elastodynamics problems Eng. Anal. Boundary Elem. 37 2013 1576 1584
    • (2013) Eng. Anal. Boundary Elem. , vol.37 , pp. 1576-1584
    • Zhang, Z.1    Cheng, Y.M.2    Liew, K.M.3
  • 62
    • 84880303003 scopus 로고    scopus 로고
    • The improved element-free Galerkin method for three-dimensional transient heat conduction problems
    • Z. Zhang, J. Wang, Y.M. Cheng, and K.M. Liew The improved element-free Galerkin method for three-dimensional transient heat conduction problems Sci. China Phys. Mech. Astron. 56 2013 1568 1580
    • (2013) Sci. China Phys. Mech. Astron. , vol.56 , pp. 1568-1580
    • Zhang, Z.1    Wang, J.2    Cheng, Y.M.3    Liew, K.M.4
  • 63
    • 84891538167 scopus 로고    scopus 로고
    • Analyzing three-dimensional viscoelasticity problems via the improved element-free Galerkin (IEFG) method
    • M.J. Peng, R.X. Li, and Y.M. Cheng Analyzing three-dimensional viscoelasticity problems via the improved element-free Galerkin (IEFG) method Eng. Anal. Boundary Elem. 40 2014 104 113
    • (2014) Eng. Anal. Boundary Elem. , vol.40 , pp. 104-113
    • Peng, M.J.1    Li, R.X.2    Cheng, Y.M.3
  • 64
    • 84892962543 scopus 로고    scopus 로고
    • An improved element-free Galerkin method for numerical modeling of the biological population problems
    • L.W. Zhang, Y.J. Deng, and K.M. Liew An improved element-free Galerkin method for numerical modeling of the biological population problems Eng. Anal. Boundary Elem. 40 2014 181 188
    • (2014) Eng. Anal. Boundary Elem. , vol.40 , pp. 181-188
    • Zhang, L.W.1    Deng, Y.J.2    Liew, K.M.3
  • 65
    • 77951696812 scopus 로고    scopus 로고
    • A complex variable meshless manifold method for fracture problems
    • H. Gao, and Y. Cheng A complex variable meshless manifold method for fracture problems Int. J. Comput. Meth. 7 2010 55 81
    • (2010) Int. J. Comput. Meth. , vol.7 , pp. 55-81
    • Gao, H.1    Cheng, Y.2
  • 66
    • 0032381035 scopus 로고    scopus 로고
    • The approximation power of moving least-squares
    • D. Levin The approximation power of moving least-squares Math. Comput. 67 1998 1335 1754
    • (1998) Math. Comput. , vol.67 , pp. 1335-1754
    • Levin, D.1
  • 67
    • 0035341648 scopus 로고    scopus 로고
    • Error estimates for moving least square approximations
    • DOI 10.1016/S0168-9274(00)00054-4, PII S0168927400000544
    • M.G. Armentano, and R.G. Durán Error estimates for moving least square approximations Appl. Numer. Math. 37 2001 397 416 (Pubitemid 32272138)
    • (2001) Applied Numerical Mathematics , vol.37 , Issue.3 , pp. 397-416
    • Armentano, M.G.1    Duran, R.G.2
  • 68
    • 0141460846 scopus 로고    scopus 로고
    • Error estimates for moving least square approximations
    • DOI 10.1007/s00574-003-0010-7
    • C. Zuppa Error estimates for moving least square approximations Bull. Braz. Math. Soc. 34 2003 231 249 (Pubitemid 37155890)
    • (2003) Bulletin of the Brazilian Mathematical Society , vol.34 , Issue.2 , pp. 231-249
    • Zuppa, C.1
  • 69
    • 42949093085 scopus 로고    scopus 로고
    • Error estimates for the finite point method
    • DOI 10.1016/j.apnum.2007.04.003, PII S0168927407000748
    • R. Cheng, and Y. Cheng Error estimates for the finite point method Appl. Numer. Math. 58 2008 884 898 (Pubitemid 351620963)
    • (2008) Applied Numerical Mathematics , vol.58 , Issue.6 , pp. 884-898
    • Cheng, R.1    Cheng, Y.2
  • 70
    • 67349131583 scopus 로고    scopus 로고
    • A Galerkin boundary node method and its convergence analysis
    • X. Li, and J. Zhu A Galerkin boundary node method and its convergence analysis J. Comput. Appl. Math. 230 2009 314 328
    • (2009) J. Comput. Appl. Math. , vol.230 , pp. 314-328
    • Li, X.1    Zhu, J.2
  • 72
    • 0345529866 scopus 로고    scopus 로고
    • Interpolating moving least-squares methods for fitting potential energy surfaces: Detailed analysis of one-dimensional applications
    • G. Maisuradze, D. Thompson, A. Wagner, and M. Minkoff Interpolating moving least-squares methods for fitting potential energy surfaces: detailed analysis of one-dimensional applications J. Chem. Phys. 119 2003 10002 10014
    • (2003) J. Chem. Phys. , vol.119 , pp. 10002-10014
    • Maisuradze, G.1    Thompson, D.2    Wagner, A.3    Minkoff, M.4
  • 73
    • 43649088303 scopus 로고    scopus 로고
    • Enforcement of boundary conditions in meshfree methods using interpolating moving least squares
    • H. Netuzhylov Enforcement of boundary conditions in meshfree methods using interpolating moving least squares Eng. Anal. Boundary Elem. 32 2008 512 516
    • (2008) Eng. Anal. Boundary Elem. , vol.32 , pp. 512-516
    • Netuzhylov, H.1
  • 74
    • 70350510162 scopus 로고    scopus 로고
    • An improved boundary element-free method (IBEFM) for two-dimensional potential problems
    • H. Ren, Y.M. Cheng, and W. Zhang An improved boundary element-free method (IBEFM) for two-dimensional potential problems Chin. Phys. B 18 2009 4065 4073
    • (2009) Chin. Phys. B , vol.18 , pp. 4065-4073
    • Ren, H.1    Cheng, Y.M.2    Zhang, W.3
  • 75
    • 77953167582 scopus 로고    scopus 로고
    • An interpolating boundary element-free method (IBEFM) for elasticity problems
    • H. Ren, Y.M. Cheng, and W. Zhang An interpolating boundary element-free method (IBEFM) for elasticity problems Sci. China Phys.: Mech. Astron. 53 2010 758 766
    • (2010) Sci. China Phys.: Mech. Astron. , vol.53 , pp. 758-766
    • Ren, H.1    Cheng, Y.M.2    Zhang, W.3
  • 76
    • 84855952330 scopus 로고    scopus 로고
    • The interpolating element-free Galerkin (IEFG) method for two-dimensional elasticity problems
    • H. Ren, and Y.M. Cheng The interpolating element-free Galerkin (IEFG) method for two-dimensional elasticity problems Int. J. Appl. Mech. 3 2011 735 758
    • (2011) Int. J. Appl. Mech. , vol.3 , pp. 735-758
    • Ren, H.1    Cheng, Y.M.2
  • 77
    • 84856211663 scopus 로고    scopus 로고
    • The interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems
    • H. Ren, and Y.M. Cheng The interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems Eng. Anal. Boundary Elem. 36 2012 873 880
    • (2012) Eng. Anal. Boundary Elem. , vol.36 , pp. 873-880
    • Ren, H.1    Cheng, Y.M.2
  • 78
    • 84867578942 scopus 로고    scopus 로고
    • The complex variable interpolating moving least-squares method
    • H. Ren, J. Cheng, and A. Huang The complex variable interpolating moving least-squares method Appl. Math. Comput. 219 2012 1724 1736
    • (2012) Appl. Math. Comput. , vol.219 , pp. 1724-1736
    • Ren, H.1    Cheng, J.2    Huang, A.3
  • 79
    • 84878003675 scopus 로고    scopus 로고
    • A new element-free Galerkin method based on improved complex variable moving least-squares approximation for elasticity
    • H. Ren, and Y.M. Cheng A new element-free Galerkin method based on improved complex variable moving least-squares approximation for elasticity Int. J. Comput. Mater. Sci. Eng. 1 2012 1250011
    • (2012) Int. J. Comput. Mater. Sci. Eng. , vol.1 , pp. 1250011
    • Ren, H.1    Cheng, Y.M.2
  • 80
    • 84866428955 scopus 로고    scopus 로고
    • An improved interpolating element-free Galerkin method with nonsingular weight function for two-dimensional potential problems
    • J.F. Wang, F.X. Sun, and Y.M. Cheng An improved interpolating element-free Galerkin method with nonsingular weight function for two-dimensional potential problems Chin. Phys. B 21 2012 090204
    • (2012) Chin. Phys. B , vol.21 , pp. 090204
    • Wang, J.F.1    Sun, F.X.2    Cheng, Y.M.3
  • 81
    • 84877307992 scopus 로고    scopus 로고
    • An interpolating boundary element-free method with nonsingular weight function for two-dimensional potential problems
    • J.F. Wang, J.F. Wang, F.X. Sun, and Y.M. Cheng An interpolating boundary element-free method with nonsingular weight function for two-dimensional potential problems Int. J. Comput. Meth. 10 2013 1350043
    • (2013) Int. J. Comput. Meth. , vol.10 , pp. 1350043
    • Wang, J.F.1    Wang, J.F.2    Sun, F.X.3    Cheng, Y.M.4
  • 82
    • 84891600490 scopus 로고    scopus 로고
    • An improved interpolating element-free Galerkin method for elasticity
    • F.X. Sun, J.F. Wang, and Y.M. Cheng An improved interpolating element-free Galerkin method for elasticity Chin. Phys. B 22 2013 120203
    • (2013) Chin. Phys. B , vol.22 , pp. 120203
    • Sun, F.X.1    Wang, J.F.2    Cheng, Y.M.3
  • 83
    • 84896996038 scopus 로고    scopus 로고
    • An improved interpolating element-free Galerkin method based on nonsingular weight functions
    • F.X. Sun, C. Liu, and Y.M. Cheng An improved interpolating element-free Galerkin method based on nonsingular weight functions Math. Prob. Eng. 2014 2014 323945
    • (2014) Math. Prob. Eng. , vol.2014 , pp. 323945
    • Sun, F.X.1    Liu, C.2    Cheng, Y.M.3
  • 84
    • 74149084448 scopus 로고    scopus 로고
    • Large deflection analysis of flexible plates by the meshless finite point method
    • M. Bitaraf, and S. Mohammadi Large deflection analysis of flexible plates by the meshless finite point method Thin-Walled Struct. 48 2010 200 214
    • (2010) Thin-Walled Struct. , vol.48 , pp. 200-214
    • Bitaraf, M.1    Mohammadi, S.2


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