메뉴 건너뛰기




Volumn 139, Issue 1-4, 1996, Pages 91-157

Generalized multiple scale reproducing kernel particle methods

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE ALGORITHMS; EDGE DETECTION; FINITE ELEMENT METHOD; FOURIER TRANSFORMS; SIGNAL PROCESSING;

EID: 0030380579     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01081-X     Document Type: Article
Times cited : (217)

References (52)
  • 1
    • 0028485395 scopus 로고
    • Wavelet-Galerkin solutions for one-dimension partial differential equations
    • K. Amarantuga, J.R. Williams, S. Qian and J. Weis, Wavelet-Galerkin solutions for one-dimension partial differential equations, Inter. J. Numer. Methods Engrg. 37 (1994) 2703-2716.
    • (1994) Inter. J. Numer. Methods Engrg. , vol.37 , pp. 2703-2716
    • Amarantuga, K.1    Williams, J.R.2    Qian, S.3    Weis, J.4
  • 9
    • 0030413958 scopus 로고    scopus 로고
    • Reproducing kernel particle methods for large deformation analysis of nonlinear structures
    • submitted
    • J.S. Chen, C. Pan and W.K. Liu, Reproducing kernel particle methods for large deformation analysis of nonlinear structures, Comput. Methods Appl. Mech. Engrg. (1996), submitted.
    • (1996) Comput. Methods Appl. Mech. Engrg.
    • Chen, J.S.1    Pan, C.2    Liu, W.K.3
  • 13
    • 0003833285 scopus 로고
    • Society for Industrial and Applied Mathematics
    • I. Daubechies, Ten Lectures on Wavelets, Vol. 61 (Society for Industrial and Applied Mathematics, 1992).
    • (1992) Ten Lectures on Wavelets , vol.61
    • Daubechies, I.1
  • 14
    • 0004178149 scopus 로고
    • Hp clouds - A meshless method to solve boundary-value problems
    • C.A. Duarte and J.T. Oden, Hp clouds - a meshless method to solve boundary-value problems, TICAM Report 95-05, 1995.
    • (1995) TICAM Report 95-05
    • Duarte, C.A.1    Oden, J.T.2
  • 15
  • 16
    • 85183430449 scopus 로고
    • Smooth particle hydrodynamics: Theory and application to non-spherical stars
    • R.A. Gingold and J.J. Monaghan, Smooth particle hydrodynamics: Theory and application to non-spherical stars, Mon. Not. Roy. Astron. Soc. 181 (1977) 375-389.
    • (1977) Mon. Not. Roy. Astron. Soc. , vol.181 , pp. 375-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 18
    • 0017851927 scopus 로고
    • On the use of windows for harmonic analysis with the discrete fourier transform
    • F.J. Harris, On the use of windows for harmonic analysis with the discrete fourier transform, IEEE 66(1) 1978.
    • (1978) IEEE , vol.66 , Issue.1
    • Harris, F.J.1
  • 20
    • 0000271460 scopus 로고
    • Exact non-reflecting boundary conditions
    • J.B. Keller and D. Givoli, Exact non-reflecting boundary conditions, J. Comput. Phys. 82 (1989) 172-192.
    • (1989) J. Comput. Phys. , vol.82 , pp. 172-192
    • Keller, J.B.1    Givoli, D.2
  • 23
    • 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
  • 24
    • 0042436718 scopus 로고
    • Geosheet: A distributed visualization tool for geometric algorithms
    • January
    • D.T. Lee, S.M. Sheu and C.F. Shen, Geosheet: A distributed visualization tool for geometric algorithms, Preliminary version appeared in Int. Comput. Geometry Software Workshop, January 1995.
    • (1995) Int. Comput. Geometry Software Workshop
    • Lee, D.T.1    Sheu, S.M.2    Shen, C.F.3
  • 26
    • 0040713219 scopus 로고
    • An introduction to wavelet reproducing kernel particle methods
    • W.K. Liu, An introduction to wavelet reproducing kernel particle methods, USACM Bull. 8(1) (1995) 3-16.
    • (1995) USACM Bull. , vol.8 , Issue.1 , pp. 3-16
    • Liu, W.K.1
  • 27
    • 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
    • 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
  • 28
    • 0029428681 scopus 로고
    • Multiresolution reproducing kernel particle methods in acoustic problems
    • ASME
    • W.K. Liu, C.T. Chang, Y. Chen and R.A. Uras, Multiresolution reproducing kernel particle methods in acoustic problems, Acoustics, Vibrations, and Rotating Machines (ASME DE-Vol. 84-2, Part B, 1995) 881-900.
    • (1995) Acoustics, Vibrations, and Rotating Machines , vol.84 DE , Issue.2 PART B , pp. 881-900
    • Liu, W.K.1    Chang, C.T.2    Chen, Y.3    Uras, R.A.4
  • 29
    • 84984525570 scopus 로고
    • Wavelet and multiple scale reproducing kernel methods
    • 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
  • 30
    • 0030170555 scopus 로고    scopus 로고
    • Advances in multiple scale kernel particle methods
    • 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
  • 36
  • 39
    • 0023165466 scopus 로고
    • An introduction to smooth particle hydrodynamics
    • J.J. Monaghan, An introduction to smooth particle hydrodynamics, Comput. Phys. Communicat. 48 (1988) 89-96.
    • (1988) Comput. Phys. Communicat. , vol.48 , pp. 89-96
    • Monaghan, J.J.1
  • 40
    • 0027035536 scopus 로고
    • Diffuse approximation and diffuse elements
    • B. Nayroles, G. Touzot and P. Villon, Diffuse approximation and diffuse elements, Comput. Mech. 10 (1992) 307-318.
    • (1992) Comput. Mech. , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 44
    • 28144438571 scopus 로고
    • Wavelet and the numerical solution of partial differential equations
    • S. Qian and J. Weiss, Wavelet and the numerical solution of partial differential equations, J. Comput. Phys. 106 (1993) 155-175.
    • (1993) J. Comput. Phys. , vol.106 , pp. 155-175
    • Qian, S.1    Weiss, J.2
  • 45
    • 0001491573 scopus 로고
    • Alias-free sampling of random noise
    • H.S. Shapriro and R.A. Silverman, Alias-free sampling of random noise, IEEE 8(2) 1960.
    • (1960) IEEE , vol.8 , Issue.2
    • Shapriro, H.S.1    Silverman, R.A.2
  • 46
  • 47
    • 0029422970 scopus 로고
    • Multiresolution analysis of a micromechanical model
    • S. Ghosh and M. Ostoja-Starzewski, eds. (AMD 212/MD 62 ASME)
    • H.M. Shodja, T. Mura and W.K. Liu, Multiresolution analysis of a micromechanical model, in: S. Ghosh and M. Ostoja-Starzewski, eds. (AMD 212/MD 62 ASME), Comput. Methods Micromechanics (1995) 33-54.
    • (1995) Comput. Methods Micromechanics , pp. 33-54
    • Shodja, H.M.1    Mura, T.2    Liu, W.K.3
  • 48
    • 0024921922 scopus 로고
    • Wavelets and dilation equations: A brief introduction
    • G. Strang, Wavelets and dilation equations: a brief introduction, SIAM Rev. 31(4) (1989) 614-627.
    • (1989) SIAM Rev. , vol.31 , Issue.4 , pp. 614-627
    • Strang, G.1
  • 49
    • 0002791118 scopus 로고
    • The application of a material-spatial numerical method to penetration
    • P. Smolinski, W.K. Liu, G. Hulbert and K. Tamma, eds., ASME. PVP 143
    • D. Sulsky, Z. Chen and H.L. Schreyer, The application of a material-spatial numerical method to penetration, in: P. Smolinski, W.K. Liu, G. Hulbert and K. Tamma, eds., New Methods in Transient Analysis (ASME. PVP 143, 1981) 91-102.
    • (1981) New Methods in Transient Analysis , pp. 91-102
    • Sulsky, D.1    Chen, Z.2    Schreyer, H.L.3
  • 51
    • 0042391894 scopus 로고
    • Some remarks on free mesh method: A kind of meshless finite element method
    • G. Yagawa, T. Yamada and Kawai, Some remarks on free mesh method: A kind of meshless finite element method, presented at ICES-95, 1995.
    • (1995) ICES-95
    • Yagawa, G.1    Yamada, T.2
  • 52
    • 0000258601 scopus 로고
    • On some stability and interpolatory properties of nonuniform sampling expansion
    • K. Yao and J.B. Thomas, On some stability and interpolatory properties of nonuniform sampling expansion, IEEE Trans. Circuit Theory 14(4) (1967).
    • (1967) IEEE Trans. Circuit Theory , vol.14 , Issue.4
    • Yao, K.1    Thomas, J.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.