메뉴 건너뛰기




Volumn 6, Issue 2, 2004, Pages 209-226

Indirect RBFN method with scattered points for numerical solution of PDEs

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; INTEGRATION; NAVIER STOKES EQUATIONS; POISSON EQUATION; PROBLEM SOLVING; RADIAL BASIS FUNCTION NETWORKS;

EID: 4344636964     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (30)
  • 3
    • 0033296256 scopus 로고    scopus 로고
    • A subspace, interior and conjugate gradient method for large-scale bound-constrained minimization problems
    • Branch, M. A.; Coleman, T. F.; Li, Y. (1999): A subspace, interior and conjugate gradient method for large-scale bound-constrained minimization problems. SIAM Journal on Scientific Computing, vol. 21, pp. 1-23.
    • (1999) SIAM Journal on Scientific Computing , vol.21 , pp. 1-23
    • Branch, M.A.1    Coleman, T.F.2    Li, Y.3
  • 4
    • 0020752609 scopus 로고
    • Natural convection of air in a square cavity: A bench mark numerical solution
    • de Vahl Davis, G. (1983): Natural convection of air in a square cavity: a bench mark numerical solution. International Journal for Numerical Methods in Fluids, vol. 3, pp. 249-264.
    • (1983) International Journal for Numerical Methods in Fluids , vol.3 , pp. 249-264
    • De Vahl Davis, G.1
  • 6
    • 84968515237 scopus 로고
    • Scattered data interpolation: Tests of some methods
    • Franke, R. (1982): Scattered data interpolation: tests of some methods. Mathematics of Computation, vol. 38(157), pp. 181-200.
    • (1982) Mathematics of Computation , vol.38 , Issue.157 , pp. 181-200
    • Franke, R.1
  • 8
    • 0000250655 scopus 로고    scopus 로고
    • On the equivalence between least-squares and kernel approximations in meshless methods
    • Jin, X.; Li, G.; Aluru, N. R. (2001): On the equivalence between least-squares and kernel approximations in meshless methods. CMES: Computer Modeling in Engineering & Sciences, vol. 2(4), pp. 447-462.
    • (2001) CMES: Computer Modeling in Engineering & Sciences , vol.2 , Issue.4 , pp. 447-462
    • Jin, X.1    Li, G.2    Aluru, N.R.3
  • 9
    • 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
    • Kansa, E. J. (1990): Multiquadrics- A scattered data approximation scheme with applications to computational fluid-dynamics-II. Solutions to parabolic, hyperbolic and elliptic partial differential equations. Computers and Mathematics with Applications, vol. 19(8/9), pp. 147-161.
    • (1990) Computers and Mathematics with Applications , vol.19 , Issue.8-9 , pp. 147-161
    • Kansa, E.J.1
  • 10
    • 0029106179 scopus 로고
    • Why you should not use 'Hybrid', 'Power law' or related exponential schemes for convective modelling-there are much better alternatives
    • Leonard, B. P.; Drummond, J. E. (1995): Why you should not use 'Hybrid', 'Power law' or related exponential schemes for convective modelling-there are much better alternatives. International Journal for Numerical Methods in Fluids, vol. 20, pp. 421-442.
    • (1995) International Journal for Numerical Methods in Fluids , vol.20 , pp. 421-442
    • Leonard, B.P.1    Drummond, J.E.2
  • 11
    • 0000969263 scopus 로고    scopus 로고
    • Meshfree and particle methods and their applications
    • Li, S.; Liu, W. K. (2002): Meshfree and particle methods and their applications. Applied Mechanics Reviews, vol. 55(1), pp. 1-34.
    • (2002) Applied Mechanics Reviews , vol.55 , Issue.1 , pp. 1-34
    • Li, S.1    Liu, W.K.2
  • 12
    • 3242696934 scopus 로고    scopus 로고
    • Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity
    • Li, Q.; Shen, S.; Han, Z. D.; Atluri, S. N. (2003): Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity. CMES: Computer Modeling in Engineering & Sciences, vol. 4(5), pp. 571-586.
    • (2003) CMES: Computer Modeling in Engineering & Sciences , vol.4 , Issue.5 , pp. 571-586
    • Li, Q.1    Shen, S.2    Han, Z.D.3    Atluri, S.N.4
  • 14
    • 0035817769 scopus 로고    scopus 로고
    • A local radial point interpolation method (LRPIM) for free vibration analyses of 2-D solids
    • Liu, G. R.; Gu, Y. T. (2001): A local radial point interpolation method (LRPIM) for free vibration analyses of 2-D solids. Journal of Sound and Vibration, vol. 246(1), pp. 29-46.
    • (2001) Journal of Sound and Vibration , vol.246 , Issue.1 , pp. 29-46
    • Liu, G.R.1    Gu, Y.T.2
  • 15
    • 0043205008 scopus 로고    scopus 로고
    • A meshless local Petrov-Galerkin method for solving bending problem of a thin plate
    • Long, S.; Atluri, S. N. (2002): A meshless local Petrov-Galerkin method for solving bending problem of a thin plate. CMES: Computer Modeling in Engineering & Sciences, vol. 3(1), pp. 53-64.
    • (2002) CMES: Computer Modeling in Engineering & Sciences , vol.3 , Issue.1 , pp. 53-64
    • Long, S.1    Atluri, S.N.2
  • 16
    • 0002642902 scopus 로고
    • Multivariate interpolation and conditionally positive definite functions
    • Madych, W. R.; Nelson, S. A. (1989): Multivariate interpolation and conditionally positive definite functions. Approximation Theory and its Applications, vol. 4, pp. 77-89.
    • (1989) Approximation Theory and Its Applications , vol.4 , pp. 77-89
    • Madych, W.R.1    Nelson, S.A.2
  • 17
    • 84966244353 scopus 로고
    • Multivariate interpolation and conditionally positive definite functions, II
    • Madych, W. R.; Nelson, S. A. (1990): Multivariate interpolation and conditionally positive definite functions, II. Mathematics of Computation, vol. 54(189), pp. 211-230.
    • (1990) Mathematics of Computation , vol.54 , Issue.189 , pp. 211-230
    • Madych, W.R.1    Nelson, S.A.2
  • 18
    • 0035137045 scopus 로고    scopus 로고
    • Numerical solution of differential equations using multiquadric radial basis function networks
    • Mai-Duy, N.; Tran-Cong, T. (2001a): Numerical solution of differential equations using multiquadric radial basis function networks. Neural Networks, vol. 14(2), pp. 185-199.
    • (2001) Neural Networks , vol.14 , Issue.2 , pp. 185-199
    • Mai-Duy, N.1    Tran-Cong, T.2
  • 19
    • 0035885009 scopus 로고    scopus 로고
    • Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks
    • Mai-Duy, N.; Tran-Cong, T. (2001b): Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks. International Journal for Numerical Methods in Fluids, vol. 37, pp. 65-86.
    • (2001) International Journal for Numerical Methods in Fluids , vol.37 , pp. 65-86
    • Mai-Duy, N.1    Tran-Cong, T.2
  • 20
    • 0036466998 scopus 로고    scopus 로고
    • Mesh-free radial basis function network methods with domain decomposition for approximation of functions and numerical solution of Poisson's equations
    • Mai-Duy, N.; Tran-Cong, T. (2002): Mesh-free radial basis function network methods with domain decomposition for approximation of functions and numerical solution of Poisson's equations. Engineering Analysis with Boundary Elements, vol. 26, pp. 133-156.
    • (2002) Engineering Analysis with Boundary Elements , vol.26 , pp. 133-156
    • Mai-Duy, N.1    Tran-Cong, T.2
  • 21
    • 0037368037 scopus 로고    scopus 로고
    • Approximation of function and its derivatives using radial basis function network methods
    • Mai-Duy, N.; Tran-Cong, T. (2003a): Approximation of function and its derivatives using radial basis function network methods. Applied Mathematical Modelling, vol. 27, pp. 197-220.
    • (2003) Applied Mathematical Modelling , vol.27 , pp. 197-220
    • Mai-Duy, N.1    Tran-Cong, T.2
  • 22
    • 0242317239 scopus 로고    scopus 로고
    • Indirect RBFN method with thin plate splines for numerical solution of differential equations
    • Mai-Duy, N.; Tran-Cong, T. (2003b): Indirect RBFN method with thin plate splines for numerical solution of differential equations. CMES: Computer Modeling in Engineering & Sciences, vol. 4(1), pp. 85-102.
    • (2003) CMES: Computer Modeling in Engineering & Sciences , vol.4 , Issue.1 , pp. 85-102
    • Mai-Duy, N.1    Tran-Cong, T.2
  • 25
    • 1442290791 scopus 로고    scopus 로고
    • Free and forced vibrations of thick rectangular plates using higher-order shear and normal deformable plate theory and meshless Petrov-Galerkin (MLPG) method
    • Qian, L. F.; Batra, R. C.; Chen, L. M. (2003): Free and forced vibrations of thick rectangular plates using higher-order shear and normal deformable plate theory and meshless Petrov-Galerkin (MLPG) method. CMES: Computer Modeling in Engineering & Sciences, vol. 4(5), pp. 519-534.
    • (2003) CMES: Computer Modeling in Engineering & Sciences , vol.4 , Issue.5 , pp. 519-534
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 27
    • 0037436111 scopus 로고    scopus 로고
    • Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations
    • Shu, C.; Ding, H.; Yeo, K. S. (2003): Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering, vol. 192, pp. 941-954.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 941-954
    • Shu, C.1    Ding, H.2    Yeo, K.S.3
  • 29
    • 4344591690 scopus 로고    scopus 로고
    • Application of meshless local Petrov-Galerkin (MLPG) method to elastodynamic problems in continuously nonhomogeneous solids
    • Sladek, J.; Sladek, V.; Zhang, C. (2003): Application of meshless local Petrov-Galerkin (MLPG) method to elastodynamic problems in continuously nonhomogeneous solids. CMES: Computer Modeling in Engineering & Sciences, vol. 4(6), pp. 637-648.
    • (2003) CMES: Computer Modeling in Engineering & Sciences , vol.4 , Issue.6 , pp. 637-648
    • Sladek, J.1    Sladek, V.2    Zhang, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.