메뉴 건너뛰기




Volumn 163, Issue 1-4, 1998, Pages 205-230

Implementation of boundary conditions for meshless methods

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); NAVIER STOKES EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SUPERSONIC FLOW;

EID: 0032154328     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00014-0     Document Type: Article
Times cited : (148)

References (35)
  • 1
    • 0027277841 scopus 로고
    • SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations
    • [1] S.K. Aliabadi, S.E. Ray and T.E. Tezduyar, SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations, Comput. Mech. 11 (1993) 300-312.
    • (1993) Comput. Mech. , vol.11 , pp. 300-312
    • Aliabadi, S.K.1    Ray, S.E.2    Tezduyar, T.E.3
  • 4
    • 0029378909 scopus 로고
    • Element-free Galerkin methods for static and dynamic fracture
    • [4] T. Belytschko, Y.Y. Lu, L. Gu and M. Tabbara, Element-free Galerkin methods for static and dynamic fracture, Int. J. Solids Struct. 32 (1995) 2547-2570.
    • (1995) Int. J. Solids Struct. , vol.32 , pp. 2547-2570
    • Belytschko, T.1    Lu, Y.Y.2    Gu, L.3    Tabbara, M.4
  • 5
    • 0030413958 scopus 로고    scopus 로고
    • Reproducing kernel particle methods for large deformation analysis of nonlinear structures
    • [5] J.S. Chen, C. Pan, C.T. Wu and W.K. Liu, Reproducing kernel particle methods for large deformation analysis of nonlinear structures, Comput. Methods Appl. Mech. Engrg. 139 (1996) 195-227.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.139 , pp. 195-227
    • Chen, J.S.1    Pan, C.2    Wu, C.T.3    Liu, W.K.4
  • 7
    • 0030415105 scopus 로고    scopus 로고
    • Admissible approximations for essential boundary conditions in the Reproducing Kernel Particle Method
    • [7] J. Gosz and W.K. Liu, Admissible approximations for essential boundary conditions in the Reproducing Kernel Particle Method, Comput. Mech. 19(2) (1996) 120-135.
    • (1996) Comput. Mech. , vol.19 , Issue.2 , pp. 120-135
    • Gosz, J.1    Liu, W.K.2
  • 9
    • 0023366684 scopus 로고
    • A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time-dependent multidimensional advective-diffusive systems
    • [9] T.J.R. Hughes, L.P. Franca and M. Mallet, A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time-dependent multidimensional advective-diffusive systems, Comput. Methods Appl. Mech. Engrg. 63(1) (1987) 97-112.
    • (1987) Comput. Methods Appl. Mech. Engrg. , vol.63 , Issue.1 , pp. 97-112
    • Hughes, T.J.R.1    Franca, L.P.2    Mallet, M.3
  • 10
    • 0022807116 scopus 로고
    • A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusion systems
    • [10] T.J.R. Hughes and M. Mallet, A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusion systems, Comput. Methods Appl. Mech. Engrg. 58(3) (1986) 305-328.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.58 , Issue.3 , pp. 305-328
    • Hughes, T.J.R.1    Mallet, M.2
  • 11
    • 0021497923 scopus 로고
    • Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
    • [11] T.J.R. Hughes and T.E. Tezduyar, Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations, Comput. Methods Appl. Mech. Engrg. 45 (1984) 217-284.
    • (1984) Comput. Methods Appl. Mech. Engrg. , vol.45 , pp. 217-284
    • Hughes, T.J.R.1    Tezduyar, T.E.2
  • 13
    • 0030120864 scopus 로고    scopus 로고
    • Enforcement of essential boundary conditions in meshless approximations using finite elements
    • [13] Y. Krongauz and T. Belytschko, Enforcement of essential boundary conditions in meshless approximations using finite elements, Comput. Methods Appl. Mech. Engrg., 131 (1996) 133-145.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.131 , pp. 133-145
    • Krongauz, Y.1    Belytschko, T.2
  • 14
    • 0031554859 scopus 로고    scopus 로고
    • Element-free Galerkin: Convergence of the continuous and discontinuous shape functions
    • [14] P. Krysl and T. Belytschko, Element-free Galerkin: Convergence of the continuous and discontinuous shape functions, Comput. Methods Appl. Mech. Engrg. 148 (1997) 257-277.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.148 , pp. 257-277
    • Krysl, P.1    Belytschko, T.2
  • 16
    • 0030413959 scopus 로고    scopus 로고
    • Moving least square reproducing kernel method. Part II: Fourier analysis
    • [16] S. Li and W.K. Liu, Moving least square reproducing kernel method. Part II: Fourier analysis, Comput. Methods Appl. Mech. Engrg. 139 (1996) 159-193.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.139 , pp. 159-193
    • Li, S.1    Liu, W.K.2
  • 17
    • 0038930686 scopus 로고    scopus 로고
    • Reproducing kernel hierarchical partition of unity
    • to appear
    • [17] S. Li and W.K. Liu, Reproducing kernel hierarchical partition of unity, J. Numer. Methods Engrg., to appear.
    • J. Numer. Methods Engrg.
    • Li, S.1    Liu, W.K.2
  • 18
    • 0031998215 scopus 로고    scopus 로고
    • Synchronized reproducing kernel interpolant via multiple wavelet expansion
    • [18] S. Li and W.K. Liu, Synchronized reproducing kernel interpolant via multiple wavelet expansion, Comput. Mech. 21 (1998) 28-47.
    • (1998) Comput. Mech. , vol.21 , pp. 28-47
    • Li, S.1    Liu, W.K.2
  • 19
    • 0027805906 scopus 로고
    • Reproducing kernel and wavelet particle methods for elastic and plastic problems
    • D.J. Benson and R.A. Asaro, eds., AMD 180 and PVP 268 ASME
    • [19] W.K. Liu, J. Adee and S. Jun, Reproducing kernel and wavelet particle methods for elastic and plastic problems, in: D.J. Benson and R.A. Asaro, eds., Advanced Computational Methods for Material Modeling (AMD 180 and PVP 268 ASME, 1993) 175-190.
    • (1993) Advanced Computational Methods for Material Modeling , pp. 175-190
    • Liu, W.K.1    Adee, J.2    Jun, S.3
  • 20
    • 0029428681 scopus 로고
    • Multiresolution reproducing kernel particle methods in acoustic problems
    • ASME DE-Vol.
    • [20] W.K. Liu, C.T. Chang, Y. Chen and R.A. Uras, Multiresolution reproducing kernel particle methods in acoustic problems, in: Acoustics, Vibrations, and Rotating Machines (ASME DE-Vol. 84-2, Part B, 1995) 881-900.
    • (1995) Acoustics, Vibrations, and Rotating Machines , vol.84 , Issue.2 PART B , pp. 881-900
    • Liu, W.K.1    Chang, C.T.2    Chen, Y.3    Uras, R.A.4
  • 21
    • 84984525570 scopus 로고
    • Wavelet and multiple scale reproducing kernel methods
    • [21] W.K. Liu and Y. Chen, Wavelet and multiple scale reproducing kernel methods, Int. J. Numer. Methods Fluids 21 (1995) 901-931.
    • (1995) Int. J. Numer. Methods Fluids , vol.21 , pp. 901-931
    • Liu, W.K.1    Chen, Y.2
  • 22
    • 0030170555 scopus 로고    scopus 로고
    • Advances in multiple scale kernel particle methods
    • [22] W.K. Liu, Y. Chen, C.T. Chang and T. Belytschko, Advances in multiple scale kernel particle methods, Comput. Mech. 18(2) (1996) 73-111.
    • (1996) Comput. Mech. , vol.18 , Issue.2 , pp. 73-111
    • Liu, W.K.1    Chen, Y.2    Chang, C.T.3    Belytschko, T.4
  • 26
    • 0031171498 scopus 로고    scopus 로고
    • Multiresolution reproducing kernel particle method for computational fluid dynamics
    • [26] W.K. Liu, S. Jun, D.T. Sihling, Y. Chen and W. Hao, Multiresolution reproducing kernel particle method for computational fluid dynamics, Int. J. Numer. Methods Fluids 24 (1997) 1391-1415.
    • (1997) Int. J. Numer. Methods Fluids , vol.24 , pp. 1391-1415
    • Liu, W.K.1    Jun, S.2    Sihling, D.T.3    Chen, Y.4    Hao, W.5
  • 28
    • 0031119696 scopus 로고    scopus 로고
    • Moving least square reproducing kernel method. (I) methodology and convergence
    • [28] W.K. Liu, S. Li and T. Belytschko, Moving least square reproducing kernel method. (I) Methodology and convergence, Comput. Methods Appl. Mech. Engrg. 143 (1997) 113-154.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.143 , pp. 113-154
    • Liu, W.K.1    Li, S.2    Belytschko, T.3
  • 31
    • 0023165466 scopus 로고
    • An introduction to smooth particle hydrodynamics
    • [31] J.J. Monaghan, An introduction to smooth particle hydrodynamics, Comput. Phys. Comm. 48 (1988) 89-96.
    • (1988) Comput. Phys. Comm. , vol.48 , pp. 89-96
    • Monaghan, J.J.1
  • 33
    • 0026206734 scopus 로고
    • A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations
    • [33] F. Shakib, T.J.R. Hughes and Z. Johan, A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. 89 (1991) 141-219.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.89 , pp. 141-219
    • Shakib, F.1    Hughes, T.J.R.2    Johan, Z.3
  • 34
    • 0029422970 scopus 로고
    • Multiresolution analysis of a micromechanical model
    • S. Ghosh and M. Ostoja-Starzewski, eds., AMD 212/MD 62 ASME
    • [34] H.M. Shodja, T. Mura and W.K. Liu, Multiresolution analysis of a micromechanical model, in: S. Ghosh and M. Ostoja-Starzewski, eds., Computational Methods in Micromechanics (AMD 212/MD 62 ASME, 1995) 33-54.
    • (1995) Computational Methods in Micromechanics , pp. 33-54
    • Shodja, H.M.1    Mura, T.2    Liu, W.K.3
  • 35
    • 85087581065 scopus 로고
    • Finite element formulations for convection dominated flows with particular emphasis on the compressible Euler equations
    • Reno, Nevada, AIAA Paper 83-0125
    • [35] T.E. Tezduyar and T.J.R. Hughes, Finite element formulations for convection dominated flows with particular emphasis on the compressible Euler equations, in: Proc. AIAA 21st Aerospace Sciences Meeting, Reno, Nevada, 1983. AIAA Paper 83-0125.
    • (1983) Proc. AIAA 21st Aerospace Sciences Meeting
    • Tezduyar, T.E.1    Hughes, T.J.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.