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Volumn 11, Issue 2-3, 2004, Pages 141-153

Algebraic multigrid methods for constrained linear systems with applications to contact problems in solid mechanics

Author keywords

Algebraic multigrid; Contact contact in solid mechanics; Multigrid methods; Parallel multigrid; Saddle point problems

Indexed keywords


EID: 10044257879     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.374     Document Type: Article
Times cited : (29)

References (27)
  • 3
    • 0003360974 scopus 로고
    • Multigrid methods and applications
    • Springer: Berlin
    • Hackbusch W. Multigrid methods and applications. Computational Mathematics, vol. 4. Springer: Berlin, 1985.
    • (1985) Computational Mathematics , vol.4
    • Hackbusch, W.1
  • 6
    • 0010038766 scopus 로고
    • On the combination of the multigrid method and conjugate gradients
    • Hackbusch W, Trottenberg U (eds). Springer: Berlin
    • Braess D. On the combination of the multigrid method and conjugate gradients. In Multigrid Methods II, Hackbusch W, Trottenberg U (eds). Springer: Berlin, 1986; 52-64.
    • (1986) Multigrid Methods II , pp. 52-64
    • Braess, D.1
  • 7
    • 84966233568 scopus 로고
    • Multi-level adaptive solutions to boundary value problems
    • Brandt A. Multi-level adaptive solutions to boundary value problems. Mathematical Computation 1977; 31:333-390.
    • (1977) Mathematical Computation , vol.31 , pp. 333-390
    • Brandt, A.1
  • 8
    • 0041034172 scopus 로고    scopus 로고
    • Convergence of algebraic multigrid based on smoothed aggregation
    • Vaněk P, Brezina M, Mandel J. Convergence of algebraic multigrid based on smoothed aggregation. Numerische Mathematik 2001; 88:559-579.
    • (2001) Numerische Mathematik , vol.88 , pp. 559-579
    • Vaněk, P.1    Brezina, M.2    Mandel, J.3
  • 9
    • 0037145312 scopus 로고    scopus 로고
    • Evaluation of three unstructured multigrid methods on 3D finite element problems in solid mechanics
    • Adams MF. Evaluation of three unstructured multigrid methods on 3D finite element problems in solid mechanics. International Journal for Numerical Methods in Engineering 2002; 55:519-534.
    • (2002) International Journal for Numerical Methods in Engineering , vol.55 , pp. 519-534
    • Adams, M.F.1
  • 13
    • 0022807929 scopus 로고
    • A simple parallel algorithm for the maximal independent set problem
    • Luby M. A simple parallel algorithm for the maximal independent set problem. SIAM Journal on Computation 1986; 4:1036-1053.
    • (1986) SIAM Journal on Computation , vol.4 , pp. 1036-1053
    • Luby, M.1
  • 14
    • 10044278325 scopus 로고    scopus 로고
    • Incomplete indefinite decompositions as multigrid smoothers for KKT systems
    • Schulz V. Incomplete indefinite decompositions as multigrid smoothers for KKT systems. International Series of Numerical Mathematics 1999; 133:257-266.
    • (1999) International Series of Numerical Mathematics , vol.133 , pp. 257-266
    • Schulz, V.1
  • 16
    • 0001328840 scopus 로고    scopus 로고
    • A class of smoothers for saddle point problems
    • Zulehner W. A class of smoothers for saddle point problems. Computing 2000; 65:227-246.
    • (2000) Computing , vol.65 , pp. 227-246
    • Zulehner, W.1
  • 17
    • 46149132843 scopus 로고
    • Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
    • Vanka S. Block-implicit multigrid solution of Navier-Stokes equations in primitive variables. Journal of Computational Physics 1986; 65:138-158.
    • (1986) Journal of Computational Physics , vol.65 , pp. 138-158
    • Vanka, S.1
  • 20
    • 0034497397 scopus 로고    scopus 로고
    • A note on preconditioning for indefinite linear systems
    • Murphy MF, Golub GH, Wathen AJ. A note on preconditioning for indefinite linear systems. SIAM J Sci Comput 2000; 21:1969-1972.
    • (2000) SIAM J Sci Comput , vol.21 , pp. 1969-1972
    • Murphy, M.F.1    Golub, G.H.2    Wathen, A.J.3
  • 21
    • 0028741633 scopus 로고
    • Inexact and preconditioned Uzawa algorithms for saddle point problems
    • Elman HC, Golub GH. Inexact and preconditioned Uzawa algorithms for saddle point problems. SAIM Journal of Numerical Analysis 1994; 31:1645-1661.
    • (1994) SAIM Journal of Numerical Analysis , vol.31 , pp. 1645-1661
    • Elman, H.C.1    Golub, G.H.2
  • 22
    • 34249955392 scopus 로고
    • A class of iterative methods for solving mixed finite element equations
    • Bank RE, Welfert BD, Yserentant H. A class of iterative methods for solving mixed finite element equations. Numerische Mathematik 1990; 56:645-666.
    • (1990) Numerische Mathematik , vol.56 , pp. 645-666
    • Bank, R.E.1    Welfert, B.D.2    Yserentant, H.3
  • 25
    • 10044246312 scopus 로고    scopus 로고
    • Prometheus, www.cs.berkeley.edu/ madams.
    • Prometheus
  • 26
    • 0034225414 scopus 로고    scopus 로고
    • Parallel multigrid solvers for 3D unstructured finite element problems in large deformation elasticity and plasticity
    • Adams MF. Parallel multigrid solvers for 3D unstructured finite element problems in large deformation elasticity and plasticity. International Journal for Numerical Methods in Engineering 2000; 48:1241-1262.
    • (2000) International Journal for Numerical Methods in Engineering , vol.48 , pp. 1241-1262
    • Adams, M.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.