메뉴 건너뛰기




Volumn 61, Issue 3-6, 2003, Pages 347-357

Scalability and FETI based algorithm for large discretized variational inequalities

Author keywords

Domain decomposition; Parallel programming; Variational inequality

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DECOMPOSITION; ITERATIVE METHODS;

EID: 0037472539     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(02)00088-5     Document Type: Conference Paper
Times cited : (36)

References (20)
  • 1
    • 0017009452 scopus 로고
    • A class of iterative methods for finite element equations
    • O. Axelsson, A class of iterative methods for finite element equations, Comp. Meth. Appl. Mech. Eng. 9 (1976) 127-137.
    • (1976) Comp. Meth. Appl. Mech. Eng. , vol.9 , pp. 127-137
    • Axelsson, O.1
  • 4
    • 0026136104 scopus 로고
    • A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds
    • Conn A.R., N.I.M.Gould, Toint Ph.L., A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds. SIAM J. Num. Anal. 28:1991;545-572.
    • (1991) SIAM J. Num. Anal. , vol.28 , pp. 545-572
    • Conn, A.R.1    Gould, N.I.M.2    Toint, Ph.L.3
  • 5
    • 0031285901 scopus 로고    scopus 로고
    • Box constrained quadratic programming with proportioning and projections
    • Dostál Z., Box constrained quadratic programming with proportioning and projections. SIAM J. Optimizat. 7(3):1997;871-887.
    • (1997) SIAM J. Optimizat. , vol.7 , Issue.3 , pp. 871-887
    • Dostál, Z.1
  • 6
    • 0033413788 scopus 로고    scopus 로고
    • On preconditioning and penalized matrices
    • Dostál Z., On preconditioning and penalized matrices. Num. Lin. Alg. Appl. 6:1999;109-114.
    • (1999) Num. Lin. Alg. Appl. , vol.6 , pp. 109-114
    • Dostál, Z.1
  • 7
    • 0002489744 scopus 로고    scopus 로고
    • Solution of contact problems of elasticity by FETI domain decomposition
    • Dostál Z., Friedlander A., Santos S.A., Solution of contact problems of elasticity by FETI domain decomposition. Contemporary Math. 218:1998;82-93.
    • (1998) Contemporary Math. , vol.218 , pp. 82-93
    • Dostál, Z.1    Friedlander, A.2    Santos, S.A.3
  • 8
    • 0032631490 scopus 로고    scopus 로고
    • Augmented Lagrangians with adaptive precision control for quadratic programming with equality constraints
    • Dostál Z., Friedlander A., Santos S.A., Augmented Lagrangians with adaptive precision control for quadratic programming with equality constraints. Comput. Opt. Appl. 14:1999;37-53.
    • (1999) Comput. Opt. Appl. , vol.14 , pp. 37-53
    • Dostál, Z.1    Friedlander, A.2    Santos, S.A.3
  • 9
    • 0242511172 scopus 로고    scopus 로고
    • Augmented Lagrangians with adaptive precision control for quadratic programming with simple bounds and equality constraints
    • in press
    • Z. Dostál, A. Friedlander, S.A. Santos, Augmented Lagrangians with adaptive precision control for quadratic programming with simple bounds and equality constraints, SIAM J. Optimiz., in press.
    • SIAM J. Optimiz.
    • Dostál, Z.1    Friedlander, A.2    Santos, S.A.3
  • 10
    • 0034503705 scopus 로고    scopus 로고
    • Duality based domain decomposition with natural coarse space for variational inequalities
    • Dostál Z., Gomes Neto F.A.M., Santos S.A., Duality based domain decomposition with natural coarse space for variational inequalities. J. Comput. Appl. Math. 126(1/2):2000;397-415.
    • (2000) J. Comput. Appl. Math. , vol.126 , Issue.1-2 , pp. 397-415
    • Dostál, Z.1    Gomes Neto, F.A.M.2    Santos, S.A.3
  • 11
    • 0034509894 scopus 로고    scopus 로고
    • Solution of contact problems by FETI domain decomposition with natural coarse space projection
    • Dostál Z., Gomes Neto F.A.M., Santos S.A., Solution of contact problems by FETI domain decomposition with natural coarse space projection. Comput. Meth. Appl. Mech. Eng. 190(13/14):2000;1611-1627.
    • (2000) Comput. Meth. Appl. Mech. Eng. , vol.190 , Issue.13-14 , pp. 1611-1627
    • Dostál, Z.1    Gomes Neto, F.A.M.2    Santos, S.A.3
  • 12
    • 0012682556 scopus 로고    scopus 로고
    • Numerical and parallel scalability of FETI algorithm for contact problems
    • Transactions of the VŠB-Technical University Ostrava
    • Horák D., Dostál Z., Numerical and parallel scalability of FETI algorithm for contact problems, Transactions of the VŠB-Technical University Ostrava. Comput. Sci. Math. Ser. I. 1:2001;63-76.
    • (2001) Comput. Sci. Math. Ser. I , vol.1 , pp. 63-76
    • Horák, D.1    Dostál, Z.2
  • 13
    • 0012726594 scopus 로고    scopus 로고
    • Implementation of fixed point method for duality based solution of contact problems with friction
    • in press
    • Z. Dostál, J. Haslinger, R. Kučera, Implementation of fixed point method for duality based solution of contact problems with friction, J. Comput. Appl. Math., in press.
    • J. Comput. Appl. Math.
    • Dostál, Z.1    Haslinger, J.2    Kučera, R.3
  • 14
    • 0035972120 scopus 로고    scopus 로고
    • A numerically scalable domain decomposition method for solution of frictionless contact problems
    • in press
    • D. Dureisseix, C. Farhat, A numerically scalable domain decomposition method for solution of frictionless contact problems, Int. J. Numer. Meth. Eng., in press.
    • Int. J. Numer. Meth. Eng.
    • Dureisseix, D.1    Farhat, C.2
  • 15
    • 0012682557 scopus 로고    scopus 로고
    • On the general solution by a direct method of a large scale singular system of linear equations: Application to the analysis of floating structures
    • C. Farhat, M. Gérardin, On the general solution by a direct method of a large scale singular system of linear equations: application to the analysis of floating structures, Int. J. Num. Meth. Eng. 40 (1997).
    • (1997) Int. J. Num. Meth. Eng. , vol.40
    • Farhat, C.1    Gérardin, M.2
  • 16
    • 0028429575 scopus 로고
    • Optimal convergence properties of the FETI domain decomposition method
    • Farhat C., Mandel J., Roux F.-X., Optimal convergence properties of the FETI domain decomposition method. Comput. Meth. Appl. Mech. Eng. 115:1994;365-385.
    • (1994) Comput. Meth. Appl. Mech. Eng. , vol.115 , pp. 365-385
    • Farhat, C.1    Mandel, J.2    Roux, F.-X.3
  • 17
    • 0000072213 scopus 로고
    • An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems
    • Farhat C., Roux F.-X., An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems. SIAM J. Sci. Statist. Comput. 13:1992;379-396.
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 379-396
    • Farhat, C.1    Roux, F.-X.2
  • 18
    • 0000064079 scopus 로고
    • On the maximization of concave quadratic functions with box constraints
    • Friedlander A., Martínez J.M., On the maximization of concave quadratic functions with box constraints. SIAM J. Optimiz. 4:1994;177-192.
    • (1994) SIAM J. Optimiz. , vol.4 , pp. 177-192
    • Friedlander, A.1    Martínez, J.M.2
  • 20
    • 0031643878 scopus 로고    scopus 로고
    • Solving the Signorini problem on the basis of domain decomposition techniques
    • Schöberl J., Solving the Signorini problem on the basis of domain decomposition techniques. Computing. 60(4):1998;323-344.
    • (1998) Computing , vol.60 , Issue.4 , pp. 323-344
    • Schöberl, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.