메뉴 건너뛰기




Volumn 37, Issue 1, 2013, Pages 32-41

A solution to linear elasticity using locally supported RBF collocation in a generalised finite-difference mode

Author keywords

Finite difference; Linear elasticity; Meshless; RBF

Indexed keywords

APPLIED SURFACE; BOUNDARY OPERATORS; COLLOCATION POINTS; DATA SETS; DISPLACEMENT VALUE; FINITE DIFFERENCE; GLOBAL MATRIX; GLOBAL SYSTEMS; INTERNAL NODES; INTERPOLANTS; LINEAR ELASTICITY; LINEAR ELASTICITY PROBLEMS; MESHLESS; NUMERICAL APPROACHES; POLYNOMIAL INTERPOLATION; RBF; RBF COLLOCATION METHOD;

EID: 84869398477     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2012.08.005     Document Type: Article
Times cited : (12)

References (24)
  • 1
    • 0025229330 scopus 로고
    • Multiquadrics. A scattered data approximation scheme with applications to computational fluid-dynamics. I. Surface approximations and partial derivative estimates
    • E.J. Kansa Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics-i surface approximations and partial derivatives estimates Comput Math Appl 19 1990 127 145 (Pubitemid 20668364)
    • (1990) Computers & mathematics with applications , vol.19 , Issue.8-9 , pp. 127-145
    • Kansa, E.J.1
  • 2
    • 0025210711 scopus 로고
    • Multiquadrics. A scattered data approximation scheme with applications to computational fluid-dynamics. II. Solutions to parabolic, hyperbolic and elliptic partial differential equations
    • E.J. Kansa Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics-ii solution to parabolic, hyperbolic and elliptic partial differential equations Comput Math Appl 19 1990 147 161 (Pubitemid 20668365)
    • (1990) Computers & mathematics with applications , vol.19 , Issue.8-9 , pp. 147-161
    • Kansa, E.J.1
  • 3
    • 0346847275 scopus 로고
    • Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
    • H. Wendland Piecewise polynomial, positive definite and compactly supported radial basis functions of minimal degree Adv Comput Math 4 1995 389 396 (Pubitemid 126012128)
    • (1995) Advances in Computational Mathematics , vol.4 , Issue.4 , pp. 389-396
    • Wendland, H.1
  • 4
    • 77951147810 scopus 로고
    • Compactly supported positive definite radial basis functions
    • Z. Wu Compactly supported positive definite radial basis functions Adv Comput Math 4 1995 75 97
    • (1995) Adv Comput Math , vol.4 , pp. 75-97
    • Wu, Z.1
  • 5
    • 34248398491 scopus 로고    scopus 로고
    • An efficient localized radial basis function meshless method for fluid flow and conjugate heat transfer
    • DOI 10.1115/1.2402181
    • E. Divo, and A. Kassab An efficient localised radial basis function meshless method for fluid flow and conjugate heat transfer J Heat Transfer 129 2007 124 136 (Pubitemid 46738774)
    • (2007) Journal of Heat Transfer , vol.129 , Issue.2 , pp. 124-136
    • Divo, E.1    Kassab, A.J.2
  • 6
    • 57149132250 scopus 로고    scopus 로고
    • Solution of heat transfer and fluid flow problems by the simplified explicit local radial basis function collocation method
    • G. Kosec, and B. Sarler Solution of heat transfer and fluid flow problems by the simplified explicit local radial basis function collocation method Int J Numer Meth Heat Fluid Flow 18 2008 868 882
    • (2008) Int J Numer Meth Heat Fluid Flow , vol.18 , pp. 868-882
    • Kosec, G.1    Sarler, B.2
  • 7
    • 67349112089 scopus 로고    scopus 로고
    • The use of PDE centres in the local RBF Hermitian method for 3D convective-diffusion problems
    • D. Stevens, H. Power, M. Lees, and H. Morvan The use of PDE centres in the local RBF Hermitian method for 3D convective-diffusion problems J Comput Phys 228 2009 4606 4624
    • (2009) J Comput Phys , vol.228 , pp. 4606-4624
    • Stevens, D.1    Power, H.2    Lees, M.3    Morvan, H.4
  • 8
    • 33645011039 scopus 로고    scopus 로고
    • Radial basis function Hermite collocation approach for the numerical simulation of the effect of precipitation inhibitor on the crystallization process of an oversaturated solution
    • A. Hernandez, A. LaRocca, and H. Power Radial basis function Hermite collocation approach for the numerical simulation of the effect of precipitation inhibitor on the crystallization process of an oversaturated solution Numer Meth Partial Differential Equations 22 2005 361 380
    • (2005) Numer Meth Partial Differential Equations , vol.22 , pp. 361-380
    • Hernandez, A.1    Larocca, A.2    Power, H.3
  • 9
    • 0033133932 scopus 로고    scopus 로고
    • Multiquadric solution for shallow water equations
    • DOI 10.1061/(ASCE)0733-9429(1999)125:5(524)
    • Y.C. Hon, K.F. Cheung, X.Z. Mao, and E.J. Kansa A multiquadric solution for shallow water equation ASCE J Hydraulic Eng 125 1999 524 533 (Pubitemid 29400985)
    • (1999) Journal of Hydraulic Engineering , vol.125 , Issue.5 , pp. 524-533
    • Hon, Y.-C.1    Cheung, K.F.2    Mao, X.-Z.3    Kansa, E.J.4
  • 10
    • 0001291977 scopus 로고    scopus 로고
    • A radial basis function method for solving options pricing modelling
    • Y.C. Hon, and X.Z. Mao A radial basis function method for solving options pricing modelling Financial Eng 8 1999 31 50
    • (1999) Financial Eng , vol.8 , pp. 31-50
    • Hon, Y.C.1    Mao, X.Z.2
  • 11
    • 0035885009 scopus 로고    scopus 로고
    • Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks
    • DOI 10.1002/fld.165
    • N. Mai-Duy, and T. Tran-Cong Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks Int J Numer Meth Fluids 37 2001 65 86 (Pubitemid 32826617)
    • (2001) International Journal for Numerical Methods in Fluids , vol.37 , Issue.1 , pp. 65-86
    • Mai-Duy, N.1    Tran-Cong, T.2
  • 12
    • 0034294250 scopus 로고    scopus 로고
    • Meshless methods based on collocation with radial basis functions
    • X. Zhang, K.Z. Song, M.W. Lu, and X. Liu Meshless methods based on collocation with radial basis functions Comput Mech 26 2000 333 343
    • (2000) Comput Mech , vol.26 , pp. 333-343
    • Zhang, X.1    Song, K.Z.2    Lu, M.W.3    Liu, X.4
  • 13
    • 11144234072 scopus 로고    scopus 로고
    • Meshless method based on collocation with consistent compactly supported radial basis functions
    • K. Song, X. Zhang, and M. Lu Meshless method based on collocation with consistent compactly supported radial basis functions Acta Mech Sin 20 2004 551 557 (Pubitemid 40050381)
    • (2004) Acta Mechanica Sinica/Lixue Xuebao , vol.20 , Issue.5 , pp. 551-557
    • Song, K.1    Zhang, X.2    Lu, M.3
  • 15
    • 3042722159 scopus 로고    scopus 로고
    • On using radial basis functions in a finite difference mode with applications to elasticity problems
    • A.I. Tolstykh, and D.A. Shirobokov On using radial basis functions in a finite difference mode with applications to elasticity problems Comput Mech 33 2003 68 79
    • (2003) Comput Mech , vol.33 , pp. 68-79
    • Tolstykh, A.I.1    Shirobokov, D.A.2
  • 17
    • 78650789896 scopus 로고    scopus 로고
    • A local radial basis functions-finite differences technique for the analysis of composite plates
    • C.M.C. Roque, D. Cunha, C. Shu, and A.J.M. Ferreira A local radial basis functions-finite differences technique for the analysis of composite plates Eng Anal Bound Elem 35 2011 363 374
    • (2011) Eng Anal Bound Elem , vol.35 , pp. 363-374
    • Roque, C.M.C.1    Cunha, D.2    Shu, C.3    Ferreira, A.J.M.4
  • 18
    • 51649133223 scopus 로고
    • Hermite-Birkhoff interpolation of scattered data by radial basis functions
    • Z. Wu Hermite-Birkhoff interpolation of scattered data by radial basis functions Approx Theory Appl 8 1992 1 11
    • (1992) Approx Theory Appl , vol.8 , pp. 1-11
    • Wu, Z.1
  • 19
    • 40049104874 scopus 로고    scopus 로고
    • Convergence of unsymmetric kernel-based meshless collocation methods
    • DOI 10.1137/050633366
    • R. Schaback Convergence of unsymmetric kernal-based meshless collocation methods SIAM J Numer Anal 45 2007 333 351 (Pubitemid 351321971)
    • (2007) SIAM Journal on Numerical Analysis , vol.45 , Issue.1 , pp. 333-351
    • Schaback, R.1
  • 20
    • 0001862613 scopus 로고
    • Comparison of radial basis function interpolants
    • K. Jetter, L.L. Schumaker, F. Uteras, World Scientific Singapore
    • R. Schaback Comparison of radial basis function interpolants K. Jetter, L.L. Schumaker, F. Uteras, Multivariate approximation from CAGD to wavelets 1993 World Scientific Singapore 293 305
    • (1993) Multivariate Approximation from CAGD to Wavelets , pp. 293-305
    • Schaback, R.1
  • 21
    • 0036467951 scopus 로고    scopus 로고
    • Interpolation in the limit of increasingly flat radial basis functions
    • DOI 10.1016/S0898-1221(01)00295-4, PII S0898122101002954
    • T.A. Driscoll, and B. Fornberg Interpolation in the limit of increasingly flat radial basis functions Comput Math Appl 43 2002 413 422 (Pubitemid 34104977)
    • (2002) Computers and Mathematics with Applications , vol.43 , Issue.3-5 , pp. 413-422
    • Driscoll, T.A.1    Fornberg, B.2
  • 23
    • 44249122351 scopus 로고    scopus 로고
    • The use of Timoshenko's exact solution for a cantilever beam in adaptive analysis
    • DOI 10.1016/j.finel.2008.01.010, PII S0168874X08000140
    • C.E. Augarde, and A.J. Deeks The use of Timoshenko's exact solution for a cantilever beam in adaptive analysis Finite Elem Anal Design 44 2008 595 601 (Pubitemid 351726345)
    • (2008) Finite Elements in Analysis and Design , vol.44 , Issue.9-10 , pp. 595-601
    • Augarde, C.E.1    Deeks, A.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.