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Volumn 18, Issue 2, 1998, Pages 229-250

Analysis of a domain decomposition method for the nearly elastic wave equations based on mixed finite element methods

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN DECOMPOSITION METHODS; ELASTIC WAVES; EQUATIONS OF MOTION; FREQUENCY DOMAIN ANALYSIS; ITERATIVE METHODS; WAVE EQUATIONS;

EID: 0032389128     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/18.2.229     Document Type: Article
Times cited : (9)

References (22)
  • 1
    • 34250136581 scopus 로고
    • A family of higher order finite element methods for plane elasticity
    • ARNOLD, D. N., DOUGLAS, J. JR., & GUPTA, C. P. 1984 A family of higher order finite element methods for plane elasticity. Numer. Math. 45, 1-22.
    • (1984) Numer. Math. , vol.45 , pp. 1-22
    • Arnold, D.N.1    Douglas J., Jr.2    Gupta, C.P.3
  • 2
    • 0040571329 scopus 로고    scopus 로고
    • A domain decomposition method for solving a Helmholtz-like problem in elasticity based on the Wilson nonconforming element
    • BENNETHUM, L. S., & FENG, X. 1997 A domain decomposition method for solving a Helmholtz-like problem in elasticity based on the Wilson nonconforming element. RAIRO Modélisation Math. Anal. Numér. 31, 1-25.
    • (1997) RAIRO Modélisation Math. Anal. Numér. , vol.31 , pp. 1-25
    • Bennethum, L.S.1    Feng, X.2
  • 3
    • 84966225192 scopus 로고
    • Convergence estimates for product iterative methods with applications to domain decomposition
    • BRAMBLE, J. H., PASCIAK, J. E., WANG, J., & XU, J. 1991 Convergence estimates for product iterative methods with applications to domain decomposition. Math. Comput. 57, 1-21.
    • (1991) Math. Comput. , vol.57 , pp. 1-21
    • Bramble, J.H.1    Pasciak, J.E.2    Wang, J.3    Xu, J.4
  • 6
    • 84972551990 scopus 로고
    • Boundary value problems for the systems of elastostatics in Lipschitz domains
    • DAHLBERG, B. E. J., KENIG, C. E., & VERCHOTA, G. C. 1988 Boundary value problems for the systems of elastostatics in Lipschitz domains. Duke Math. J. 57, 795-818.
    • (1988) Duke Math. J. , vol.57 , pp. 795-818
    • Dahlberg, B.E.J.1    Kenig, C.E.2    Verchota, G.C.3
  • 7
    • 0001836507 scopus 로고
    • Domain decomposition method and helmholtz problem
    • (G. Cohen, L. Halpern and P. Joly, eds). Philadelphia: SIAM
    • DESPRÉS, B. 1991 Domain decomposition method and Helmholtz problem. Mathematical and Numerical Aspects of Wave Propagation Phenomena. (G. Cohen, L. Halpern and P. Joly, eds). Philadelphia: SIAM, pp 44-52.
    • (1991) Mathematical and Numerical Aspects of Wave Propagation Phenomena , pp. 44-52
    • Després, B.1
  • 8
    • 21144463078 scopus 로고
    • A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods
    • DOUGLAS, J. JR., PAES LEME, P. J. S., ROBERTS, J. E., & WANG, J. 1993 A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Numer. Math. 65, 95-108.
    • (1993) Numer. Math. , vol.65 , pp. 95-108
    • Douglas J., Jr.1    Paes Leme, P.J.S.2    Roberts, J.E.3    Wang, J.4
  • 9
    • 0004582161 scopus 로고
    • Global estimates for mixed methods for second order elliptic equations
    • DOUGLAS, J. JR., & ROBERTS, J. E. 1982 Global estimates for mixed methods for second order elliptic equations. Math. Comput. 1, 91-103.
    • (1982) Math. Comput. , vol.1 , pp. 91-103
    • Douglas J., Jr.1    Roberts, J.E.2
  • 12
    • 0001099785 scopus 로고
    • Domain decomposition and mixed finite element methods for elliptic problems
    • (R. Glowinski et al, eds). Philadelphia: SIAM
    • GLOWINSKI, G., & WHEELER, M. F. 1988 Domain decomposition and mixed finite element methods for elliptic problems. Domain Decomposition Methods for Partial Differential Equations (R. Glowinski et al, eds). Philadelphia: SIAM, pp 144-172.
    • (1988) Domain Decomposition Methods for Partial Differential Equations , pp. 144-172
    • Glowinski, G.1    Wheeler, M.F.2
  • 13
    • 0000764825 scopus 로고
    • Compressional wave attenuation in marine sediments
    • HAMILTON, E. L. 1972 Compressional wave attenuation in marine sediments. Geophysics 37, 620-646.
    • (1972) Geophysics , vol.37 , pp. 620-646
    • Hamilton, E.L.1
  • 14
    • 0001605769 scopus 로고
    • Some equilibrium finite element methods for two-dimensional elasticity problems
    • JOHNSON, C., & MERCIER, B. 1978 Some equilibrium finite element methods for two-dimensional elasticity problems. Numer. Math. 30, 103-116.
    • (1978) Numer. Math. , vol.30 , pp. 103-116
    • Johnson, C.1    Mercier, B.2
  • 15
    • 0018457008 scopus 로고
    • Attenuation of seismic waves in dry and saturated rocks. II: Mechanics
    • JOHNSTON, D. H., TOKSÖZ, M. N., & TIMUR, A. 1978 Attenuation of seismic waves in dry and saturated rocks. II: Mechanics. Geophysics 44, 691-711.
    • (1978) Geophysics , vol.44 , pp. 691-711
    • Johnston, D.H.1    Toksöz, M.N.2    Timur, A.3
  • 16
    • 21844510779 scopus 로고
    • Domain decomposition with nonmatching grids: Augmented Lagrangian approach
    • LE TALLEC, P., & SASSI, T. 1995 Domain decomposition with nonmatching grids: augmented Lagrangian approach. Math. Comput. 64, 1367-1396.
    • (1995) Math. Comput. , vol.64 , pp. 1367-1396
    • Le Tallec, P.1    Sassi, T.2
  • 18
    • 0000364321 scopus 로고
    • A relaxation procedure for domain decomposition methods using finite elements
    • MARINI, L. D., & QUARTERONI, A. 1989 A relaxation procedure for domain decomposition methods using finite elements. Numer. Math. 55, 575-598.
    • (1989) Numer. Math. , vol.55 , pp. 575-598
    • Marini, L.D.1    Quarteroni, A.2
  • 19
    • 0040545807 scopus 로고
    • On the solution of the equations of motion for nearly elastic solids in the frequency domain
    • Center for Applied Mathematics, Purdue University
    • RAVAZZOLI, C. L., DOUGLAS, J. JR., SANTOS, J. E., & SHEEN, D. 1992 On the solution of the equations of motion for nearly elastic solids in the frequency domain. Technical Report, Center for Applied Mathematics, Purdue University.
    • (1992) Technical Report
    • Ravazzoli, C.L.1    Douglas J., Jr.2    Santos, J.E.3    Sheen, D.4
  • 21
    • 0026995615 scopus 로고
    • Some Schwartz methods for symmetric and nonsymmetric elliptic problems
    • (T. F. Chan et al, eds). Philadelphia: SIAM
    • WIDLUND, O. B. 1992 Some Schwartz methods for symmetric and nonsymmetric elliptic problems. Fifth Conf. on Domain Decomposition Methods for Partial Differential Equations (T. F. Chan et al, eds). Philadelphia: SIAM, pp 19-36.
    • (1992) Fifth Conf. on Domain Decomposition Methods for Partial Differential Equations , pp. 19-36
    • Widlund, O.B.1
  • 22
    • 0000570696 scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • XU, J. 1992 Iterative methods by space decomposition and subspace correction. SIAM Rev. 34, 581-613.
    • (1992) SIAM Rev. , vol.34 , pp. 581-613
    • Xu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.