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Volumn 41, Issue 3, 2003, Pages 964-982

An optimal parallel nonoverlapping domain decomposition iterative procedure

Author keywords

Domain decomposition; Finite element; Iterative; Nonconforming; Nonoverlapping; Parallel; Penalty coefficient; Robin boundary condition; Transmission coefficient; Transmission data; Update

Indexed keywords

DOMAIN DECOMPOSITION; ITERATIVE; NONCONFORMING; NONOVERLAPPING; PARALLEL; PENALTY COEFFICIENT; ROBIN BOUNDARY CONDITION; TRANSMISSION COEFFICIENT; TRANSMISSION DATA; UPDATE;

EID: 3142732759     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142902401281     Document Type: Article
Times cited : (13)

References (23)
  • 1
    • 0003208638 scopus 로고
    • Poincaré-Steklov's operators and domain decomposition method in finite dimensional spaces
    • R. Glowinski, G. H. Golub, G. A. Meurant, and J. Periaux, eds., SIAM, Philadelphia
    • V. I. AGOSHKOV, Poincaré-Steklov's operators and domain decomposition method in finite dimensional spaces, in First International Symposium of Domain Decomposition Methods for Partial Differential Equations, R. Glowinski, G. H. Golub, G. A. Meurant, and J. Periaux, eds., SIAM, Philadelphia, 1988, pp. 73-112.
    • (1988) First International Symposium of Domain Decomposition Methods for Partial Differential Equations , pp. 73-112
    • Agoshkov, V.I.1
  • 2
    • 0022918065 scopus 로고
    • Iterative methods for the solution of elliptic problems on regions partitioned into substructures
    • P. E. BJØRSTADT AND O. B. WIDLUND, Iterative methods for the solution of elliptic problems on regions partitioned into substructures, SIAM J. Numer. Anal., 23 (1986), pp. 1097-1120.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 1097-1120
    • Bjørstadt, P.E.1    Widlund, O.B.2
  • 3
    • 84966238014 scopus 로고
    • An iterative method for elliptic problems on regions partitioned into substructures
    • J. BRAMBLE, J. PASCIAK, AND G. SCHATZ, An iterative method for elliptic problems on regions partitioned into substructures, Math. Comp., 46 (1986), pp. 361-369.
    • (1986) Math. Comp. , vol.46 , pp. 361-369
    • Bramble, J.1    Pasciak, J.2    Schatz, G.3
  • 4
    • 0030547401 scopus 로고    scopus 로고
    • Overlapping Schwarz methods on unstructured meshes using nonmatching coarse grids
    • T. F. CHAN, B. SMITH, AND J. Zou, Overlapping Schwarz methods on unstructured meshes using nonmatching coarse grids, Numer. Math., 72 (1996), pp. 149-167.
    • (1996) Numer. Math. , vol.72 , pp. 149-167
    • Chan, T.F.1    Smith, B.2    Zou, J.3
  • 7
    • 0031215983 scopus 로고    scopus 로고
    • Timely communication: An analysis for a nonoverlapping domain decompositon iterative procedure
    • Q. DENG, Timely communication: An analysis for a nonoverlapping domain decompositon iterative procedure, SIAM J. Sci. Comput., 18 (1997), pp. 1517-1525.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 1517-1525
    • Deng, Q.1
  • 8
    • 3142728586 scopus 로고    scopus 로고
    • A nonoverlapping domain decomposition method for nonconforming finite element problems
    • submitted
    • Q. DENG, A nonoverlapping domain decomposition method for nonconforming finite element problems, IAMJNA, submitted.
    • IAMJNA
    • Deng, Q.1
  • 9
    • 3142659654 scopus 로고    scopus 로고
    • Two-Level overlapping schwarz methods for plate elements on unstructured meshes using non-matching grids
    • AMS, Providence, RI
    • Q. DENG AND X. FENG, Two-Level Overlapping Schwarz Methods for Plate Elements on Unstructured Meshes Using Non-Matching Grids, CRM Proc. Lecture Notes 21, AMS, Providence, RI, 1999, pp. 160-170.
    • (1999) CRM Proc. Lecture Notes , vol.21 , pp. 160-170
    • Deng, Q.1    Feng, X.2
  • 10
    • 0001836507 scopus 로고
    • Domain decomposition method and the Helmholtz problem
    • G. Cohen, L. Halpern, and P. Joly, eds., SIAM, Philadelphia
    • B. DESPRÉS, Domain decomposition method and the Helmholtz problem, in Mathematical and Numerical Aspects of Wave Propagation Phenomena, G. Cohen, L. Halpern, and P. Joly, eds., SIAM, Philadelphia, 1991, pp. 44-52.
    • (1991) Mathematical and Numerical Aspects of Wave Propagation Phenomena , pp. 44-52
    • Després, B.1
  • 11
    • 21144463078 scopus 로고
    • A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods
    • J. DOUGLAS, JR., P. PAES LEME, J. E. ROBERTS, AND J. WANG, A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods, Numer. Math., 65 (1993), pp. 95-108.
    • (1993) Numer. Math. , vol.65 , pp. 95-108
    • Douglas Jr., J.1    Paes Leme, P.2    Roberts, J.E.3    Wang, J.4
  • 12
    • 0033443078 scopus 로고    scopus 로고
    • Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
    • J. DOUGLAS, JR., J. E. SANTOS, D. SHEEN, AND X. YE, Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems, M2AN Math. Model. Numer. Anal., 33 (1999), pp. 747-770.
    • (1999) M2AN Math. Model. Numer. Anal. , vol.33 , pp. 747-770
    • Douglas Jr., J.1    Santos, J.E.2    Sheen, D.3    Ye, X.4
  • 13
    • 0000429099 scopus 로고
    • An iterative procedure with interface relaxation for domain decomposition methods
    • D. FUNARO, A. QUARTERONI, AND P. ZANOLLI, An iterative procedure with interface relaxation for domain decomposition methods, SIAM J. Numer. Anal., 25 (1988), pp. 1213-1236.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 1213-1236
    • Funaro, D.1    Quarteroni, A.2    Zanolli, P.3
  • 14
    • 0001947080 scopus 로고
    • Argument Lagrangian interpretation of the nonoverlapping Schwarz alternating method
    • T. F. Chan, R. Glowinski, J. Periaux, and O. B. Widlund, eds., SIAM, Philadelphia
    • R. GLOWINSKI AND P. LE TALLEC, Argument Lagrangian interpretation of the nonoverlapping Schwarz alternating method, in Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, T. F. Chan, R. Glowinski, J. Periaux, and O. B. Widlund, eds., SIAM, Philadelphia, 1990, pp. 224-231.
    • (1990) Third International Symposium on Domain Decomposition Methods for Partial Differential Equations , pp. 224-231
    • Glowinski, R.1    Le Tallec, P.2
  • 16
    • 0043139650 scopus 로고
    • Nonconforming element in the mixed finite element method
    • H. HAN, Nonconforming element in the mixed finite element method, J. Comput. Math., 3 (1984), pp. 223-233.
    • (1984) J. Comput. Math. , vol.3 , pp. 223-233
    • Han, H.1
  • 17
    • 0027574521 scopus 로고
    • Domain decomposition for fourth-order problems
    • W. HEINRICHS, Domain decomposition for fourth-order problems, SIAM J. Numer. Anal., 30 (1993), pp. 435-453.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 435-453
    • Heinrichs, W.1
  • 18
    • 0003121787 scopus 로고
    • On the Schwarz alternating method III: A variant for nonoverlapping subdomains
    • T. F. Chan, R. Glowinski, J. Periaux, and O. B. Widlund, eds., SIAM, Philadelphia
    • P. L. LIONS, On the Schwarz alternating method III: A variant for nonoverlapping subdomains, in Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, T. F. Chan, R. Glowinski, J. Periaux, and O. B. Widlund, eds., SIAM, Philadelphia, 1990, pp. 202-223.
    • (1990) Third International Symposium on Domain Decomposition Methods for Partial Differential Equations , pp. 202-223
    • Lions, P.L.1
  • 20
    • 0000364321 scopus 로고
    • A relaxation procedure for domain decomposition methods using finite elements
    • L. D. MARINI AND A. QUARTERONI, A relaxation procedure for domain decomposition methods using finite elements, Numer. Math., 55 (1989), pp. 575-598.
    • (1989) Numer. Math. , vol.55 , pp. 575-598
    • Marini, L.D.1    Quarteroni, A.2
  • 21
    • 3142689053 scopus 로고
    • On the convergence of the alternating subdomain Schwarz method without overlap
    • Yu. A. Kuznetsov, ed., Akad. Nauk. SSSR Sib. Otdel., Vychisl. Tsentr, Novosibirsk, Siberia
    • A. M. MATSOKIN AND S. V. NEPOMNYASHCHIKH, On the convergence of the alternating subdomain Schwarz method without overlap, in Approximation and Interpolation Methods, Yu. A. Kuznetsov, ed., Akad. Nauk. SSSR Sib. Otdel., Vychisl. Tsentr, Novosibirsk, Siberia, 1981, pp. 85-97.
    • (1981) Approximation and Interpolation Methods , pp. 85-97
    • Matsokin, A.M.1    Nepomnyashchikh, S.V.2
  • 22
    • 0000590719 scopus 로고
    • Generalized Schwarz splitting
    • W. P. TANG, Generalized Schwarz splitting, SIAM J. Sci. Statist. Comput., 13 (1992), pp. 573-595.
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 573-595
    • Tang, W.P.1
  • 23
    • 0032290868 scopus 로고    scopus 로고
    • Some nonoverlapping domain decomposition methods
    • J. XU AND J. ZOU, Some nonoverlapping domain decomposition methods, SIAM Rev., 40 (1998), pp. 857-914.
    • (1998) SIAM Rev. , vol.40 , pp. 857-914
    • Xu, J.1    Zou, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.