메뉴 건너뛰기




Volumn 1593, Issue , 1999, Pages 1052-1060

A parallel implementation of the block preconditioned GCR method

Author keywords

Approximate subdomain solution; Orthogonalization methods; Parallel Krylov subspace methods

Indexed keywords

COMPUTER SCIENCE; COMPUTERS;

EID: 84956864774     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0100666     Document Type: Conference Paper
Times cited : (2)

References (18)
  • 1
    • 0001276831 scopus 로고
    • On the eigenvalue distribution of a class of preconditioning methods
    • O. Axelsson and G. Linskog. On the eigenvalue distribution of a class of preconditioning methods. Numerische Mathematik, 48:479-498, 1986.
    • (1986) Numerische Mathematik , vol.48 , pp. 479-498
    • Axelsson, O.1    Linskog, G.2
  • 3
    • 0029532194 scopus 로고
    • A parallel domain decomposition algorithm for the incompressible Navier-Stokes equations
    • E. Brakkee, A. Segal, and C. G. M. Kassels. A parallel domain decomposition algorithm for the incompressible Navier-Stokes equations. Simulation Practice and Theory, 3:185-205, 1995.
    • (1995) Simulation Practice and Theory , pp. 185-205
    • Brakkee, E.1    Segal, A.2    Kassels, C.G.M.3
  • 4
    • 0032527016 scopus 로고    scopus 로고
    • Domain decomposition for the incompressible Navier-Stokes equations: Solving subdomain problems accurately and inaccurately
    • E. Brakkee, C. Vuik, and P. Wesseling. Domain decomposition for the incompressible Navier-Stokes equations: Solving subdomain problems accurately and inaccurately. International Journal for Numerical Methods in Fluids, 26:1217-1237, 1998.
    • (1998) International Journal for Numerical Methods in Fluids , vol.26 , pp. 1217-1237
    • Brakkee, E.1    Vuik, C.2    Wesseling, P.3
  • 6
    • 0029390218 scopus 로고
    • Reducing the effect of global communication in GMRES(M) and CG on parallel distributed memory computers
    • E. de Sturler and H. A. van der Vorst. Reducing the effect of global communication in GMRES(m) and CG on parallel distributed memory computers. Applied Numerical Mathematics, 18:441-459, 1995.
    • (1995) Applied Numerical Mathematics , vol.18 , pp. 441-459
    • De Sturler, E.1    Van Der Vorst, H.A.2
  • 7
    • 0000011239 scopus 로고
    • Variational iterative methods for nonsymmetrie systems of linear equations
    • April
    • Stanley C. Eisenstat, Howard C. Elman, and Martin H. Schultz, Variational iterative methods for nonsymmetrie systems of linear equations. SIAM Journal on Numerical Analysis, 20(2):345-357, April 1983.
    • (1983) SIAM Journal on Numerical Analysis , vol.20 , Issue.2 , pp. 345-357
    • Eisenstat, S.C.1    Elman, H.C.2    Schultz, M.H.3
  • 8
    • 0000072705 scopus 로고
    • A parallel GMRES version for general sparse matrices
    • J. Ethel. A parallel GMRES version for general sparse matrices. Electronic Transactions on Numerical Analysis (http://etna.mes.kent.edu), 3:160-176, 1995.
    • (1995) Electronic Transactions on Numerical Analysis , vol.3 , pp. 160-176
    • Ethel, J.1
  • 9
    • 84956854055 scopus 로고    scopus 로고
    • Parallel implementation of a multiblock method with approximate subdomain solution
    • to appear
    • J. Frank and C. Vuik. Parallel implementation of a multiblock method with approximate subdomain solution. App. Num. Math., 1998. to appear.
    • (1998) App. Num. Math
    • Frank, J.1    Vuik, C.2
  • 10
    • 0003039594 scopus 로고
    • A class of first order factorization methods
    • Ivar Gustafsson. A class of first order factorization methods. BIT, 18:142-156, 1978.
    • (1978) BIT , vol.18 , pp. 142-156
    • Gustafsson, I.1
  • 11
    • 0024776757 scopus 로고
    • Iterative algorithms for Gram-Schmidt orthogonalization
    • Walter Hoffman. Iterative algorithms for Gram-Schmidt orthogonalization. Computing, 41:335-348, 1989.
    • (1989) Computing , vol.41 , pp. 335-348
    • Hoffman, W.1
  • 12
    • 0000674333 scopus 로고
    • A second-order accurate pressure-correction scheme for viscous incompressible flow
    • J. van Kan. A second-order accurate pressure-correction scheme for viscous incompressible flow. SIAM Journal on Scientific and Statistical Computing, 7(3):870-891, 1986.
    • (1986) SIAM Journal on Scientific and Statistical Computing , vol.7 , Issue.3 , pp. 870-891
    • Van Kan, J.1
  • 13
    • 0031210417 scopus 로고    scopus 로고
    • A block variant of the GMRES method on massively parallel processors
    • G. Li. A block variant of the GMRES method on massively parallel processors. Parallel Computing 23, 23:1005-1019, 1997.
    • (1997) Parallel Computing , vol.23 , Issue.23 , pp. 1005-1019
    • Li, G.1
  • 14
    • 84966225158 scopus 로고
    • An iterative solution method for finear systems of which the coefficient matrix is a symmetric M-matrix
    • J. A. Meijerink and H. A. van der Vorst. An iterative solution method for finear systems of which the coefficient matrix is a symmetric M-matrix. Mathematics of Computation, 31:148-162, 1977.
    • (1977) Mathematics of Computation , vol.31 , pp. 148-162
    • Meijerink, J.A.1    Van Der Vorst, H.A.2
  • 16
    • 0031519150 scopus 로고    scopus 로고
    • Alternatives for parallel Krylov subspace basis computation
    • R. B. Sidje. Alternatives for parallel Krylov subspace basis computation. Numerical Linear Algebra with Applications, 4(4):305-331, 1997.
    • (1997) Numerical Linear Algebra with Applications , vol.4 , Issue.4 , pp. 305-331
    • Sidje, R.B.1
  • 18
    • 0000043097 scopus 로고
    • Walker. Implementation of the GMRES method using Householder transformations
    • Homer F. Walker. Implementation of the GMRES method using Householder transformations. SIAM Journal on Scientific and Statistical Computing, 9(1):152-163, 1988.
    • (1988) SIAM Journal on Scientific and Statistical Computing , vol.9 , Issue.1 , pp. 152-163
    • Homer, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.