메뉴 건너뛰기




Volumn 40, Issue 2, 2007, Pages 249-259

Multiscale enrichment based on partition of unity for nonperiodic fields and nonlinear problems

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; CONTINUUM MECHANICS; DISCRETE TIME CONTROL SYSTEMS; PROBLEM SOLVING; TIME VARYING SYSTEMS;

EID: 34247496796     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-006-0095-0     Document Type: Article
Times cited : (39)

References (36)
  • 1
    • 14844297695 scopus 로고    scopus 로고
    • Multiscale enrichment based on partition of unity
    • Fish J, Yuan Z (2005) Multiscale enrichment based on partition of unity. Int J Numer Methods Eng 62:1.341-1.359
    • (2005) Int J Numer Methods Eng , vol.62
    • Fish, J.1    Yuan, Z.2
  • 2
    • 84985315768 scopus 로고
    • Global-local finite element method
    • Mote CD (1971) Global-local finite element method. Int J Numer Methods Eng 3:565-574
    • (1971) Int J Numer Methods Eng , vol.3 , pp. 565-574
    • Mote, C.D.1
  • 3
    • 0027110443 scopus 로고
    • The s-version of the finite element method
    • Fish J (1992) The s-version of the finite element method. Comput Struct 43(3):539-547
    • (1992) Comput Struct , vol.43 , Issue.3 , pp. 539-547
    • Fish, J.1
  • 5
    • 0028408892 scopus 로고
    • On adaptive multilevel superposition of finite element meshes
    • Fish J, Markolefas S, Guttal R, Nayak P (1994) On adaptive multilevel superposition of finite element meshes Appl Numer Math 14:135-164
    • (1994) Appl Numer Math , vol.14 , pp. 135-164
    • Fish, J.1    Markolefas, S.2    Guttal, R.3    Nayak, P.4
  • 6
    • 0037399641 scopus 로고    scopus 로고
    • Park JW, Hwang JW, Kim YH (2003)Efficient finite element analysis using mesh superposition technique. Fin Elem Anal Des 39:61.9-638
    • Park JW, Hwang JW, Kim YH (2003)Efficient finite element analysis using mesh superposition technique. Fin Elem Anal Des 39:61.9-638
  • 7
    • 0007410835 scopus 로고
    • Hierarchical modeling of discontinuous fields
    • Fish J (1992) Hierarchical modeling of discontinuous fields. Commun Appl Numer Methods 8:443-453
    • (1992) Commun Appl Numer Methods , vol.8 , pp. 443-453
    • Fish, J.1
  • 8
    • 0027552527 scopus 로고    scopus 로고
    • Fish J, Fares N, Nath A (1993) Micromechanical elastic cracktip stresses in a fibrous composite. Int J Fract 60:1.35-146
    • Fish J, Fares N, Nath A (1993) Micromechanical elastic cracktip stresses in a fibrous composite. Int J Fract 60:1.35-146
  • 9
    • 14844303850 scopus 로고
    • Multiscale finite element method for heterogeneous medium
    • Fish J, Wagiman A (1993) Multiscale finite element method for heterogeneous medium. Comput Mech: Int J 12:1-17
    • (1993) Comput Mech: Int , vol.J 12 , pp. 1-17
    • Fish, J.1    Wagiman, A.2
  • 10
    • 0026850671 scopus 로고
    • The s-version of the finite element method for multilayer laminates
    • Fish J, Markolefas S (1992) The s-version of the finite element method for multilayer laminates Int J Numer Methods Eng 33(5):1081-1105
    • (1992) Int J Numer Methods Eng , vol.33 , Issue.5 , pp. 1081-1105
    • Fish, J.1    Markolefas, S.2
  • 11
    • 0030193963 scopus 로고    scopus 로고
    • Variable kenematic modeling of laminated composite plates
    • Robbins DH, Reddy JN (1996) Variable kenematic modeling of laminated composite plates. Tnt J Numer Methods Eng 39:2283-2317
    • (1996) Tnt J Numer Methods Eng , vol.39 , pp. 2283-2317
    • Robbins, D.H.1    Reddy, J.N.2
  • 12
    • 0034514494 scopus 로고    scopus 로고
    • Multi-scale computational method for elastic bodies with global and local heterogeneity
    • Takano N, Zako M, Ishizono M (2000) Multi-scale computational method for elastic bodies with global and local heterogeneity. J Comput-Aided Material Des 7:111-132
    • (2000) J Comput-Aided Material Des , vol.7 , pp. 111-132
    • Takano, N.1    Zako, M.2    Ishizono, M.3
  • 13
    • 0029368201 scopus 로고
    • Multigrid method for a periodic heterogeneous medium. Part I: Convergence studies for one-dimensional case
    • Fish J, Belsky V (1995) Multigrid method for a periodic heterogeneous medium. Part I: convergence studies for one-dimensional case. Comput Methods Appl Mech Eng 126:1-16
    • (1995) Comput Methods Appl Mech Eng , vol.126 , pp. 1-16
    • Fish, J.1    Belsky, V.2
  • 14
    • 0029371171 scopus 로고
    • Multigrid method for a periodic heterogeneous medium. Part 2: Multiscale modeling and quality control in mutidimensional case
    • Fish J, Belsky V (1995) Multigrid method for a periodic heterogeneous medium. Part 2: multiscale modeling and quality control in mutidimensional case. Comput Methods Appl Mech Eng 126:17-38
    • (1995) Comput Methods Appl Mech Eng , vol.126 , pp. 17-38
    • Fish, J.1    Belsky, V.2
  • 15
    • 0031101073 scopus 로고    scopus 로고
    • Hierarchical composite grid method for global-local analysis of laminated composite shells
    • Fish J, Suvorov A, Belsky V (1997) Hierarchical composite grid method for global-local analysis of laminated composite shells. Appl Numer Math 23:241-258
    • (1997) Appl Numer Math , vol.23 , pp. 241-258
    • Fish, J.1    Suvorov, A.2    Belsky, V.3
  • 16
    • 1842635971 scopus 로고    scopus 로고
    • Discrete-to-continuum bridging based on multigrid Principles
    • Fish J, Chen W (2004) Discrete-to-continuum bridging based on multigrid Principles. Comput Methods Appl Mech Eng 193:1693-1711
    • (2004) Comput Methods Appl Mech Eng , vol.193 , pp. 1693-1711
    • Fish, J.1    Chen, W.2
  • 17
    • 0032649861 scopus 로고    scopus 로고
    • Belytschko T, Black T (1999) Elastic crack growth in finite elements with minimal remeshing Int J Numer Methods Eng 45(5):601.-620
    • Belytschko T, Black T (1999) Elastic crack growth in finite elements with minimal remeshing Int J Numer Methods Eng 45(5):601.-620
  • 18
    • 0033349534 scopus 로고    scopus 로고
    • A finite element method for crack growth without remeshing
    • Moës N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. Int J Numer Methods Eng 46(5):131-150
    • (1999) Int J Numer Methods Eng , vol.46 , Issue.5 , pp. 131-150
    • Moës, N.1    Dolbow, J.2    Belytschko, T.3
  • 20
    • 0033904722 scopus 로고    scopus 로고
    • The generalized finite element method: An example of its implementation and illustration of its performance
    • Strouboulis T, Babuska I, Copps K (2000) The generalized finite element method: an example of its implementation and illustration of its performance. Int J Numer Methods Eng 47:1401-1417
    • (2000) Int J Numer Methods Eng , vol.47 , pp. 1401-1417
    • Strouboulis, T.1    Babuska, I.2    Copps, K.3
  • 22
    • 0032209437 scopus 로고    scopus 로고
    • A discontinuous hp finite element method for diffusion problems
    • Oden JT, Babuska I, Baumann CE (1998) A discontinuous hp finite element method for diffusion problems. J Comput Phy 146:1-29
    • (1998) J Comput Phy , vol.146 , pp. 1-29
    • Oden, J.T.1    Babuska, I.2    Baumann, C.E.3
  • 23
    • 84896866233 scopus 로고    scopus 로고
    • Collis SS, Chang Y (2002) The DG/VMS method for unified turbulence simulation. AIAA Pap 2002-3124
    • Collis SS, Chang Y (2002) The DG/VMS method for unified turbulence simulation. AIAA Pap 2002-3124
  • 24
    • 0038300729 scopus 로고    scopus 로고
    • Chessa J, Wang HW, Belytschko T (2003) On the construction of blending elements for local partition of unity enriched finite elements. Int J Numer Methods Eng 57(7):1.015-1038
    • Chessa J, Wang HW, Belytschko T (2003) On the construction of blending elements for local partition of unity enriched finite elements. Int J Numer Methods Eng 57(7):1.015-1038
  • 25
    • 0028483749 scopus 로고
    • Special finite element methods for a class of second order elliptic problems with rough coefficients
    • Babuska I, Caloz G, Osborn JE (1994) Special finite element methods for a class of second order elliptic problems with rough coefficients. SIAM J Numer Anal 4:945-981
    • (1994) SIAM J Numer Anal , vol.4 , pp. 945-981
    • Babuska, I.1    Caloz, G.2    Osborn, J.E.3
  • 26
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method:Basic theory and applications
    • Babuska I, Melenk JM (1996) The partition of unity finite element method:Basic theory and applications. Comput Methods Appl Mech Eng 139:289-314
    • (1996) Comput Methods Appl Mech Eng , vol.139 , pp. 289-314
    • Babuska, I.1    Melenk, J.M.2
  • 27
    • 0032649861 scopus 로고    scopus 로고
    • Elastic crack growth in finite elements with minimal remeshing
    • Belytschko T, Black T (1999) Elastic crack growth in finite elements with minimal remeshing. Tnt J Numer Methods Eng 45(5):601-620
    • (1999) Tnt J Numer Methods Eng , vol.45 , Issue.5 , pp. 601-620
    • Belytschko, T.1    Black, T.2
  • 28
    • 0035972924 scopus 로고    scopus 로고
    • The extended finite element method for rigid particles in Stokes flow
    • Wagner GJ, Moes N, Liu WK, Belytschko T (2001) The extended finite element method for rigid particles in Stokes flow. Int J Numer Methods Eng 51:293-310
    • (2001) Int J Numer Methods Eng , vol.51 , pp. 293-310
    • Wagner, G.J.1    Moes, N.2    Liu, W.K.3    Belytschko, T.4
  • 29
    • 0033904722 scopus 로고    scopus 로고
    • The generalized finite element method. An example of its implementation and illustration of its performance
    • Strouboulis T, Babuska I, Copps K (2000) The generalized finite element method. An example of its implementation and illustration of its performance. Int J Numer Methods Eng 47:1401-1417
    • (2000) Int J Numer Methods Eng , vol.47 , pp. 1401-1417
    • Strouboulis, T.1    Babuska, I.2    Copps, K.3
  • 31
    • 34249767554 scopus 로고
    • Microscale reduction error indicators and estimators for a periodic heterogeneous medium
    • Fish J, Nayak P, Holmes MH (1994) Microscale reduction error indicators and estimators for a periodic heterogeneous medium. Comput Mech Int J 14:1-16
    • (1994) Comput Mech Int , vol.J 14 , pp. 1-16
    • Fish, J.1    Nayak, P.2    Holmes, M.H.3
  • 32
    • 33745929638 scopus 로고    scopus 로고
    • A generalized space-time mathematical homogenization theory for bridging atomistic and continuum Scales
    • Chen W, Fish J (2006) A generalized space-time mathematical homogenization theory for bridging atomistic and continuum Scales. Int J Numer Methods Eng 67:253-271
    • (2006) Int J Numer Methods Eng , vol.67 , pp. 253-271
    • Chen, W.1    Fish, J.2
  • 33
    • 0017561766 scopus 로고
    • A finite element calculation of stress intensity factors by a modified crack closure integral
    • Rybicki EF, Kanninen MF (1977) A finite element calculation of stress intensity factors by a modified crack closure integral. Eng Fracte Mech 9:931-938
    • (1977) Eng Fracte Mech , vol.9 , pp. 931-938
    • Rybicki, E.F.1    Kanninen, M.F.2
  • 34
    • 0000828256 scopus 로고
    • Generalized finite element methods: Their performance and their relation to mixed methods
    • Babuska I, Osborn JE (1983) Generalized finite element methods: their performance and their relation to mixed methods. SIAM J Numer Anal 20:510-536
    • (1983) SIAM J Numer Anal , vol.20 , pp. 510-536
    • Babuska, I.1    Osborn, J.E.2
  • 35
    • 0032675543 scopus 로고    scopus 로고
    • finite deformation plasticity of composite structures: Computational models and adaptive
    • Fish J, Shek KL (1999) finite deformation plasticity of composite structures: computational models and adaptive Strategies Comput Meth Appl Mech Eng 172:145-174
    • (1999) Strategies Comput Meth Appl Mech Eng , vol.172 , pp. 145-174
    • Fish, J.1    Shek, K.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.