메뉴 건너뛰기




Volumn 30, Issue 1, 2007, Pages 505-524

Algebraic multigrid based on computational molecules, 2: Linear elasticity problems

Author keywords

Algebraic multigrid; Edge matrices; Element preconditioning; Linear elasticity

Indexed keywords

ELASTICITY; FINITE ELEMENT METHOD; LINEAR EQUATIONS; MATRIX ALGEBRA;

EID: 55549096394     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/050641156     Document Type: Article
Times cited : (17)

References (24)
  • 4
    • 0001927250 scopus 로고
    • Algebraic multigrid theory: The symmetric case
    • A. BRANDT, Algebraic multigrid theory: The symmetric case, Appl. Math. Comput., 19 (1986), pp. 23-56.
    • (1986) Appl. Math. Comput , vol.19 , pp. 23-56
    • BRANDT, A.1
  • 5
    • 0003524614 scopus 로고
    • Algebraic Multigrid (AMG) for Automatic Multigrid Solutions with Applications to Geodetic Computations
    • Technical report, Institute for Computational Studies, Fort Collins, CO
    • A. BRANDT, S. F. MCCORMICK, AND J. W. RUGE, Algebraic Multigrid (AMG) for Automatic Multigrid Solutions with Applications to Geodetic Computations, Technical report, Institute for Computational Studies, Fort Collins, CO, 1982.
    • (1982)
    • BRANDT, A.1    MCCORMICK, S.F.2    RUGE, J.W.3
  • 9
    • 33748801751 scopus 로고    scopus 로고
    • Parallel algebraic multigrids for structural mechanics
    • M. BREZINA, C. TONG, AND R. BECKER, Parallel algebraic multigrids for structural mechanics, SIAM J. Sci. Comput., 27 (2006), pp. 1534-1554.
    • (2006) SIAM J. Sci. Comput , vol.27 , pp. 1534-1554
    • BREZINA, M.1    TONG, C.2    BECKER, R.3
  • 10
    • 55549123154 scopus 로고    scopus 로고
    • T. F. CHAN AND P. VANEK, Detection of strong coupling in algebraic multigrid solvers, in Multigrid Methods, VI, Lect. Notes Comput. Sci. Eng. 14, Springer-Verlag, Berlin, 2000, pp. 11-23.
    • T. F. CHAN AND P. VANEK, Detection of strong coupling in algebraic multigrid solvers, in Multigrid Methods, VI, Lect. Notes Comput. Sci. Eng. 14, Springer-Verlag, Berlin, 2000, pp. 11-23.
  • 13
    • 0001748946 scopus 로고    scopus 로고
    • Algebraic multigrid methods based on element preconditioning
    • G. HAASE, U. LANGER, S. REITZINGER, AND J. SCHÖBERL, Algebraic multigrid methods based on element preconditioning, Int. J. Comput. Math., 78 (2001), pp. 575-598.
    • (2001) Int. J. Comput. Math , vol.78 , pp. 575-598
    • HAASE, G.1    LANGER, U.2    REITZINGER, S.3    SCHÖBERL, J.4
  • 14
    • 0036226531 scopus 로고    scopus 로고
    • Element-free AMGe: General algorithms for computing interpolation weights in AMG
    • V. E. HENSON AND P. VASSILEVSKI, Element-free AMGe: General algorithms for computing interpolation weights in AMG, SIAM J. Sci. Comput., 23 (2001), pp. 629-650.
    • (2001) SIAM J. Sci. Comput , vol.23 , pp. 629-650
    • HENSON, V.E.1    VASSILEVSKI, P.2
  • 15
    • 0036211804 scopus 로고    scopus 로고
    • AMGe based on element agglomeration
    • J. E. JONES AND P. S. VASSILEVSKI, AMGe based on element agglomeration, SIAM J. Sci. Comput., 23 (2001), pp. 109-133.
    • (2001) SIAM J. Sci. Comput , vol.23 , pp. 109-133
    • JONES, J.E.1    VASSILEVSKI, P.S.2
  • 16
    • 32544440613 scopus 로고    scopus 로고
    • Algebraic multigrid based on computational molecules, 1: Scalar elliptic problems
    • J. K. KRAUS AND J. SCHICHO, Algebraic multigrid based on computational molecules, 1: Scalar elliptic problems, Computing, 77 (2006), pp. 57-75.
    • (2006) Computing , vol.77 , pp. 57-75
    • KRAUS, J.K.1    SCHICHO, J.2
  • 17
    • 35248855626 scopus 로고    scopus 로고
    • Symbolic methods for the element preconditioning technique
    • Symbolic and Numerical Scientific Computation Hagenberg, Springer-Verlag, Berlin
    • U. LANGER, S. REITZINGER, AND J. SCHICHO, Symbolic methods for the element preconditioning technique, in Symbolic and Numerical Scientific Computation (Hagenberg, 2001), Lecture Notes in Comput. Sci. 2630, Springer-Verlag, Berlin, 2003, pp. 293-308.
    • (2001) Lecture Notes in Comput. Sci , vol.2630 , pp. 293-308
    • LANGER, U.1    REITZINGER, S.2    SCHICHO, J.3
  • 18
    • 55549145242 scopus 로고    scopus 로고
    • J. W. RUGE AND K. STÜBEN, Efficient solution of finite difference and finite element equations by algebraic multigrid (AMG), in Multigrid Methods for Integral and Differential Equations. Inst. Math. Appl. Conf. Ser. 3, D. J. Paddon and H. Holstein, eds., Clarendon Press, Oxford University Press, New York, 1985, pp. 169-212.
    • J. W. RUGE AND K. STÜBEN, Efficient solution of finite difference and finite element equations by algebraic multigrid (AMG), in Multigrid Methods for Integral and Differential Equations. Inst. Math. Appl. Conf. Ser. 3, D. J. Paddon and H. Holstein, eds., Clarendon Press, Oxford University Press, New York, 1985, pp. 169-212.
  • 19
    • 55549098689 scopus 로고    scopus 로고
    • J. W. RUGE AND K. STÜBEN, Algebraic multigrid, in Multigrid Methods, Frontiers Appl. Math. 3, S. F. MCCormick, ed., SIAM, Philadelphia, 1987, pp. 73-130.
    • J. W. RUGE AND K. STÜBEN, Algebraic multigrid, in Multigrid Methods, Frontiers Appl. Math. 3, S. F. MCCormick, ed., SIAM, Philadelphia, 1987, pp. 73-130.
  • 20
    • 0002621183 scopus 로고
    • Algebraic multigrid (AMG): Experiences and comparisons
    • K. STÜBEN, Algebraic multigrid (AMG): Experiences and comparisons, Appl. Math. Comput., 13 (1983), pp. 419-452.
    • (1983) Appl. Math. Comput , vol.13 , pp. 419-452
    • STÜBEN, K.1
  • 22
    • 0041034172 scopus 로고    scopus 로고
    • Convergence of algebraic multigrid based on smoothed aggregation
    • P. VANĚK, M. BREZINA, AND J. MANDEL, Convergence of algebraic multigrid based on smoothed aggregation, Numer. Math., 88 (2001), pp. 559-579.
    • (2001) Numer. Math , vol.88 , pp. 559-579
    • VANĚK, P.1    BREZINA, M.2    MANDEL, J.3
  • 23
    • 0030388574 scopus 로고    scopus 로고
    • Algebraic multigrid based on smoothed aggregation for second and fourth order problems
    • P. VANEK, J. MANDEL, AND M. BREZINA, Algebraic multigrid based on smoothed aggregation for second and fourth order problems, Computing, 56 (1996), pp. 179-196.
    • (1996) Computing , vol.56 , pp. 179-196
    • VANEK, P.1    MANDEL, J.2    BREZINA, M.3
  • 24


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.