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Volumn 18, Issue 1, 1998, Pages 71-90

Augmented conjugate gradient. Application in an iterative process for the solution of scattering problems

Author keywords

Conjugate gradient; Krylov subspace; Least squares; Scattering

Indexed keywords


EID: 0032343927     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019109213101     Document Type: Article
Times cited : (5)

References (22)
  • 1
    • 0028479728 scopus 로고
    • Variational algorithms for the Helmholtz equation using time evolution and artificial boundaries
    • C. Bardos and J. Rauch, Variational algorithms for the Helmholtz equation using time evolution and artificial boundaries, Asymptotic Anal. 9 (1994) 101-117.
    • (1994) Asymptotic Anal. , vol.9 , pp. 101-117
    • Bardos, C.1    Rauch, J.2
  • 2
    • 0029273768 scopus 로고
    • Solving the Helmholtz equation at high-wave numbers on a parallel computer with a shared virtual memory
    • M.O. Bristeau, J. Erhel, P. Feat, R. Glowinski and J. Périaux, Solving the Helmholtz equation at high-wave numbers on a parallel computer with a shared virtual memory, Internat. J. Supercomput. Appl. 9(1) (1995) 18-28.
    • (1995) Internat. J. Supercomput. Appl. , vol.9 , Issue.1 , pp. 18-28
    • Bristeau, M.O.1    Erhel, J.2    Feat, P.3    Glowinski, R.4    Périaux, J.5
  • 4
    • 0039631248 scopus 로고
    • Using exact controllability to solve the Helmholtz equation at high-wave numbers
    • eds. R. Kleinman, T. Angell, D. Colton, F. Santosa and I. Strakgold SIAM, Philadelphia, PA
    • M.O. Bristeau, R. Glowinski and J. Périaux, Using exact controllability to solve the Helmholtz equation at high-wave numbers, in: Mathematical and Numerical Aspects of Wave Propagation, eds. R. Kleinman, T. Angell, D. Colton, F. Santosa and I. Strakgold (SIAM, Philadelphia, PA, 1993) pp. 113-127.
    • (1993) Mathematical and Numerical Aspects of Wave Propagation , pp. 113-127
    • Bristeau, M.O.1    Glowinski, R.2    Périaux, J.3
  • 5
    • 0039631241 scopus 로고
    • Exact controllability to solve the Helmholtz equation with absorbing boundary conditions
    • eds. D. Krizek, P. Neittaanmaki and R. Stenberg Marcel Dekker, New York
    • M.O. Bristeau, R. Glowinski and J. Périaux, Exact controllability to solve the Helmholtz equation with absorbing boundary conditions, in: Finite Element Methods, eds. D. Krizek, P. Neittaanmaki and R. Stenberg (Marcel Dekker, New York, 1994) pp. 79-93.
    • (1994) Finite Element Methods , pp. 79-93
    • Bristeau, M.O.1    Glowinski, R.2    Périaux, J.3
  • 6
    • 0042738919 scopus 로고    scopus 로고
    • Waves scattering using exact controllability
    • eds. J.A. Desideri, P. Le Tallec, E. Onate, J. Périaux and E. Stein Wiley, New York
    • M.O. Bristeau, R. Glowinski and J. Périaux, Waves scattering using exact controllability, in: Numerical Methods in Engineering 96, eds. J.A. Desideri, P. Le Tallec, E. Onate, J. Périaux and E. Stein (Wiley, New York, 1996) pp. 96-103.
    • (1996) Numerical Methods in Engineering 96 , pp. 96-103
    • Bristeau, M.O.1    Glowinski, R.2    Périaux, J.3
  • 7
    • 0032367198 scopus 로고    scopus 로고
    • On the performance of various adaptive preconditioned GMRES
    • K. Burrage and J. Erhel, On the performance of various adaptive preconditioned GMRES, Numer. Linear Algebra Appl. 5(1) (1998).
    • (1998) Numer. Linear Algebra Appl. , vol.5 , Issue.1
    • Burrage, K.1    Erhel, J.2
  • 8
    • 0031261346 scopus 로고    scopus 로고
    • Analysis of projection methods for solving linear systems with multiple right-hand sides
    • T.F. Chan and W. Wan, Analysis of projection methods for solving linear systems with multiple right-hand sides, SIAM J. Sci. Comput. 18 (1997).
    • (1997) SIAM J. Sci. Comput. , vol.18
    • Chan, T.F.1    Wan, W.2
  • 9
    • 0043240150 scopus 로고
    • Sparse matrix multiplication on vector computers
    • J. Erhel, Sparse matrix multiplication on vector computers, Internat. J. High Speed Comput. 2(2) (1990) 101-116.
    • (1990) Internat. J. High Speed Comput. , vol.2 , Issue.2 , pp. 101-116
    • Erhel, J.1
  • 10
    • 0042237808 scopus 로고    scopus 로고
    • About Newton-Krylov methods
    • eds. M.O. Bristeau, G. Etgen, W. Fitzgibbon, J.L. Lions, J. Périaux and M.F. Wheeler Wiley, Chichester, UK
    • J. Erhel, About Newton-Krylov methods, in: Computational Science for the 21st Century, eds. M.O. Bristeau, G. Etgen, W. Fitzgibbon, J.L. Lions, J. Périaux and M.F. Wheeler (Wiley, Chichester, UK, 1997) pp. 53-61.
    • (1997) Computational Science for the 21st Century , pp. 53-61
    • Erhel, J.1
  • 12
    • 84901048532 scopus 로고
    • Adapting algorithms and data structures to supercomputers in finite element calculations
    • eds. J.M. Fouet, P. Ladevèze and R. Ohayon Pluralis
    • J. Erhel and M. Vidrascu, Adapting algorithms and data structures to supercomputers in finite element calculations, in: Calcul des Structures et Intelligence Artificielle, Vol. 3, eds. J.M. Fouet, P. Ladevèze and R. Ohayon (Pluralis, 1989) pp. 403-417.
    • (1989) Calcul des Structures et Intelligence Artificielle , vol.3 , pp. 403-417
    • Erhel, J.1    Vidrascu, M.2
  • 13
    • 0028465936 scopus 로고
    • Extending substructure based iterative solvers to multiple load and repeated analyses
    • C. Farhat, L. Crivelli and F.X. Roux, Extending substructure based iterative solvers to multiple load and repeated analyses, Comput. Methods Appl. Mech. Engrg. 117 (1994) 195-209.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.117 , pp. 195-209
    • Farhat, C.1    Crivelli, L.2    Roux, F.X.3
  • 14
    • 84959656664 scopus 로고    scopus 로고
    • Exact and approximate controllability for distributed parameter systems, Part II
    • R. Glowinski and J.L. Lions, Exact and approximate controllability for distributed parameter systems, Part II, Acta Numerica (1996) 159-333.
    • (1996) Acta Numerica , pp. 159-333
    • Glowinski, R.1    Lions, J.L.2
  • 16
    • 0001745947 scopus 로고
    • Résolution de systèmes linéaires avec plusieurs seconds membres par la méthode du gradient conjugué
    • Laboratoire d'Analyse Numérique, Paris VI Mars
    • P. Joly, Résolution de systèmes linéaires avec plusieurs seconds membres par la méthode du gradient conjugué, Technical Report R-91012, Laboratoire d'Analyse Numérique, Paris VI (Mars 1991).
    • (1991) Technical Report R-91012
    • Joly, P.1
  • 17
    • 0040669291 scopus 로고
    • On the application of fictitious domain and domain decomposition methods for scattering problems on Cray Y-MP C98
    • Department of Mathematics, University of Nijmegen, Nijmegen, The Netherlands
    • Y. Kuznetsov and K. Lipnikov, On the application of fictitious domain and domain decomposition methods for scattering problems on Cray Y-MP C98, Technical Report 9557, Department of Mathematics, University of Nijmegen, Nijmegen, The Netherlands (1995).
    • (1995) Technical Report 9557
    • Kuznetsov, Y.1    Lipnikov, K.2
  • 18
    • 0023966723 scopus 로고
    • Exact controllability, stabilization and perturbation for distributed systems
    • J.L. Lions, Exact controllability, stabilization and perturbation for distributed systems, SIAM Rev. 30 (1988) 1-68.
    • (1988) SIAM Rev. , vol.30 , pp. 1-68
    • Lions, J.L.1
  • 21
    • 84966225678 scopus 로고
    • On the Lanczos method for solving symmetric linear systems with several right-hand sides
    • Y. Saad, On the Lanczos method for solving symmetric linear systems with several right-hand sides, Math. Comp. 178 (1987) 651-662.
    • (1987) Math. Comp. , vol.178 , pp. 651-662
    • Saad, Y.1
  • 22
    • 0031534369 scopus 로고    scopus 로고
    • Analysis of augmented Krylov subspace techniques
    • Y Saad, Analysis of augmented Krylov subspace techniques, SIMAX 18(2) (1997) 435-449.
    • (1997) SIMAX , vol.18 , Issue.2 , pp. 435-449
    • Saad, Y.1


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