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Volumn 12, Issue 1, 2005, Pages 33-53

Iterative versus direct parallel substructuring methods in semiconductor device modelling

Author keywords

Drift diffusion equations; Krylov solvers; Multifrontal solvers; Non overlapping domain decomposition; Parallel distributed computing; Preconditioning; Quasi Fermi level

Indexed keywords


EID: 20744455059     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.391     Document Type: Article
Times cited : (19)

References (38)
  • 1
    • 84974325009 scopus 로고
    • Domain decomposition algorithms
    • Cambridge University Press: Cambridge
    • Chan TF, Mathew TP. Domain decomposition algorithms. In Acta Numerica 1994. Cambridge University Press: Cambridge, 1994; 61-143.
    • (1994) Acta Numerica 1994 , pp. 61-143
    • Chan, T.F.1    Mathew, T.P.2
  • 5
    • 0006170677 scopus 로고
    • Mixed finite element simulation of heterojunction structures including a boundary layer model for the quasi-fermi levels
    • Hecht F, Marrocco A. Mixed finite element simulation of heterojunction structures including a boundary layer model for the quasi-fermi levels. COMPEL 1994; 13(4):757-770.
    • (1994) COMPEL , vol.13 , Issue.4 , pp. 757-770
    • Hecht, F.1    Marrocco, A.2
  • 11
  • 12
    • 20744448970 scopus 로고    scopus 로고
    • A set of conjugate gradient routines for real and complex arithmetics
    • CERFACS, Toulouse, France
    • Frayssé V, Giraud L. A set of conjugate gradient routines for real and complex arithmetics. Technical Report TR/PA/00/47, CERFACS, Toulouse, France, 2000. Public domain software available on www.cerfacs.fr/algor/Softs.
    • (2000) Technical Report , vol.TR-PA-00-47
    • Frayssé, V.1    Giraud, L.2
  • 13
    • 0008832102 scopus 로고    scopus 로고
    • A set of GMRES routines for real and complex arithmetics
    • CERFACS, Toulouse, France
    • Frayssé V, Giraud L, Gratton S. A set of GMRES routines for real and complex arithmetics. Technical Report TR/PA/97/49, CERFACS, Toulouse, France, 1997. Public domain software available on www.cerfacs.fr/algor/Softs.
    • (1997) Technical Report , vol.TR-PA-97-49
    • Frayssé, V.1    Giraud, L.2    Gratton, S.3
  • 14
    • 84957014891 scopus 로고    scopus 로고
    • MUMPS: A general purpose distributed memory sparse solver
    • Gebremedhin AH, Manne F, Moe R, Sørevik T (eds). Bergen, June 18-21, Lecture notes in computer science. Springer: Berlin
    • Amestoy PR, Duff IS, Koster J, L'Excellent J-Y. MUMPS: a general purpose distributed memory sparse solver. In Proceedings of PARA2000, the Fifth International Workshop on Applied Parallel Computing, Gebremedhin AH, Manne F, Moe R, Sørevik T (eds). Bergen, June 18-21, Lecture notes in computer science, vol. 1947. Springer: Berlin, 2000; 122-131.
    • (2000) Proceedings of PARA2000, the Fifth International Workshop on Applied Parallel Computing , vol.1947 , pp. 122-131
    • Amestoy, P.R.1    Duff, I.S.2    Koster, J.3    L'Excellent, J.-Y.4
  • 16
    • 0020822138 scopus 로고
    • The multifrontal solution of indefinite sparse symmetric linear systems
    • Duff IS, Reid JK. The multifrontal solution of indefinite sparse symmetric linear systems. ACM Transactions on Mathematical Software 1983; 9:302-325.
    • (1983) ACM Transactions on Mathematical Software , vol.9 , pp. 302-325
    • Duff, I.S.1    Reid, J.K.2
  • 17
    • 0035626451 scopus 로고    scopus 로고
    • Local preconditioners for two-level non-overlapping domain decomposition methods
    • Carvalho LM, Giraud L, Meurant G. Local preconditioners for two-level non-overlapping domain decomposition methods. Numerical Linear Algebra with Applications 2001; 8(4):207-227.
    • (2001) Numerical Linear Algebra with Applications , vol.8 , Issue.4 , pp. 207-227
    • Carvalho, L.M.1    Giraud, L.2    Meurant, G.3
  • 18
    • 0003144075 scopus 로고
    • Variational formulation and algorithm for trace operator in domain decomposition calculations
    • Chan T, Glowinski R, Périaux J, Widlund O (eds). SIAM: Philadelphia, PA
    • Bourgat J-F, Glowinski R, Le Tallec P, Vidrascu M. Variational formulation and algorithm for trace operator in domain decomposition calculations. In Domain Decomposition Methods, Chan T, Glowinski R, Périaux J, Widlund O (eds). SIAM: Philadelphia, PA, 1989; 3-16,
    • (1989) Domain Decomposition Methods , pp. 3-16
    • Bourgat, J.-F.1    Glowinski, R.2    Le Tallec, P.3    Vidrascu, M.4
  • 22
    • 0033248362 scopus 로고    scopus 로고
    • Schur complement preconditioners for anisotropic problems
    • Giraud L, Tuminaro RS. Schur complement preconditioners for anisotropic problems. IMA Journal of Numerical Analysis 1999; 19(1):1-17
    • (1999) IMA Journal of Numerical Analysis , vol.19 , Issue.1 , pp. 1-17
    • Giraud, L.1    Tuminaro, R.S.2
  • 25
    • 1842486880 scopus 로고    scopus 로고
    • A stopping criterion for the conjugate gradient algorithm in a finite element method framework
    • DOI: 10.1007/s00211-003-0500-y:1-24
    • Arioli M. A stopping criterion for the conjugate gradient algorithm in a finite element method framework. Numerische Mathematik, DOI: 10.1007/s00211-003-0500-y:1-24, 2003.
    • (2003) Numerische Mathematik
    • Arioli, M.1
  • 26
    • 10244256017 scopus 로고    scopus 로고
    • Stopping criteria for iterations in finite element methods
    • CERFACS, Toulouse, France
    • Arioli M, Loghin D, Wathen AJ. Stopping criteria for iterations in finite element methods. Technical Report TR/PA/03/21, CERFACS, Toulouse, France, 2003.
    • (2003) Technical Report , vol.TR-PA-03-21
    • Arioli, M.1    Loghin, D.2    Wathen, A.J.3
  • 30
    • 20744456880 scopus 로고    scopus 로고
    • Simulations numériques de dispositifs électroniques via éléments finis mixtes, adaptation de maillages et décomposition de domaine
    • INRIA, in preparation
    • Marrocco A. Simulations numériques de dispositifs électroniques via éléments finis mixtes, adaptation de maillages et décomposition de domaine. Technical Report, INRIA, in preparation.
    • Technical Report
    • Marrocco, A.1
  • 35
    • 0001115526 scopus 로고    scopus 로고
    • A Neumann-neumann domain decomposition algorithm for solving plate and shell problems
    • April
    • Le Tallec P, Mandel J, Vidrascu M. A Neumann-Neumann domain decomposition algorithm for solving plate and shell problems. SIAM Journal on Numerical Analysis April 1998; 35(2):836-867.
    • (1998) SIAM Journal on Numerical Analysis , vol.35 , Issue.2 , pp. 836-867
    • Le Tallec, P.1    Mandel, J.2    Vidrascu, M.3
  • 36
    • 84923989072 scopus 로고    scopus 로고
    • Domain decomposition solvers for large scale industrial finite element problems
    • Lecture notes in computer science. Springer: Berlin
    • Bjørstad PE, Koster J, Krzyżanowski P. Domain decomposition solvers for large scale industrial finite element problems. In PARA2000 Workshop on Applied Parallel Computing. Lecture notes in computer science, vol. 1947. Springer: Berlin, 2000.
    • (2000) PARA2000 Workshop on Applied Parallel Computing , vol.1947
    • Bjørstad, P.E.1    Koster, J.2    Krzyzanowski, P.3
  • 38
    • 20744460731 scopus 로고    scopus 로고
    • Domain decomposition methods in semiconductor device modeling
    • Debit N, Garbey M, Hoppe R, Périaux J, Keyes D, Kuznetsov Y (eds). CIMNE: Barcelona
    • Giraud L, Koster J, Marrocco A, Rioual J-C. Domain decomposition methods in semiconductor device modeling. In Domain Decomposition Methods in Science and Engineering, Debit N, Garbey M, Hoppe R, Périaux J, Keyes D, Kuznetsov Y (eds). CIMNE: Barcelona, 2001; 469-476.
    • (2001) Domain Decomposition Methods in Science and Engineering , pp. 469-476
    • Giraud, L.1    Koster, J.2    Marrocco, A.3    Rioual, J.-C.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.