메뉴 건너뛰기




Volumn 25, Issue 1, 2003, Pages 1-26

Spectral AMGe (ρAMGe)

Author keywords

Algebraic multigrid; Finite elements; Iterative methods; Spectral methods

Indexed keywords

BOOLEAN ALGEBRA; ERRORS; INTERPOLATION; ITERATIVE METHODS; PARTIAL DIFFERENTIAL EQUATIONS; SPECTRUM ANALYSIS; STIFFNESS MATRIX;

EID: 1842479841     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S106482750139892X     Document Type: Article
Times cited : (117)

References (17)
  • 1
    • 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
  • 2
    • 0003524614 scopus 로고
    • Algebraic multigrid (AMG) for automatic multigrid solutions with application to geodetic computations
    • Tech. report, Institute for Computational Studies, Fort Collins, CO
    • A. Brandt, S. McCormick, and J. Ruge, Algebraic Multigrid (AMG) for Automatic Multigrid Solutions with Application to Geodetic Computations, Tech. report, Institute for Computational Studies, Fort Collins, CO, 1982.
    • (1982)
    • Brandt, A.1    McCormick, S.2    Ruge, J.3
  • 4
    • 0037689738 scopus 로고    scopus 로고
    • An iterative method with convergence rate chosen A priori
    • UCD/CCM Report 140, University of Colorado at Denver, Denver, Co
    • M. Brezina, I. Heberton, J. Mandel, and P. Vanẽk, An Iterative Method with Convergence Rate Chosen A Priori, UCD/CCM Report 140, University of Colorado at Denver, Denver, Co, 1999.
    • (1999)
    • Brezina, M.1    Heberton, I.2    Mandel, J.3    Vanẽk, P.4
  • 7
    • 1842463764 scopus 로고    scopus 로고
    • Element-based algebraic multigrid (AMGe) and spectral AMGe
    • Ph.D. thesis, University of Colorado, Boulder, CO
    • T. Chartier, Element-Based Algebraic Multigrid (AMGe) and Spectral AMGe, Ph.D. thesis, University of Colorado, Boulder, CO, 2001.
    • (2001)
    • Chartier, T.1
  • 9
    • 0031383664 scopus 로고    scopus 로고
    • Generalized aggregation multilevel solver
    • J. Fish and V. Belsky, Generalized aggregation multilevel solver, Internat. J. Numer. Methods Engrg., 40 (1997), pp. 4341-4361.
    • (1997) Internat. J. Numer. Methods Engrg. , vol.40 , pp. 4341-4361
    • Fish, J.1    Belsky, V.2
  • 10
    • 0013228639 scopus 로고    scopus 로고
    • Towards robust two-level methods for indefinite systems
    • J. Fish, Y. Qu and A. Suvorov, Towards robust two-level methods for indefinite systems, Internat. J. Numer. Methods Engrg., 45 (1999), pp. 1433-1456.
    • (1999) Internat. J. Numer. Methods Engrg. , vol.45 , pp. 1433-1456
    • Fish, J.1    Qu, Y.2    Suvorov, A.3
  • 12
    • 0035977398 scopus 로고    scopus 로고
    • An algebraic two-level preconditioner for asymmetric, positive-definite systems
    • T. E. Giddings and J. Fish, An algebraic two-level preconditioner for asymmetric, positive-definite systems, Internat. J. Numer. Methods Engrg., 52 (2001), pp. 1443-1463.
    • (2001) Internat. J. Numer. Methods Engrg. , vol.52 , pp. 1443-1463
    • Giddings, T.E.1    Fish, J.2
  • 13
    • 0036226531 scopus 로고    scopus 로고
    • Element-free AMGe: General algorithms for computing interpolation weights in AMG
    • V. E. Henson and P. S. 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.S.2
  • 15
    • 85013028056 scopus 로고    scopus 로고
    • Two-level methods, based on aggregation, for solving three-dimensional problems
    • V. Korneev and J. Fish, Two-level methods, based on aggregation, for solving three-dimensional problems, Izv. Vyssh. Uchebn. Zaved. Mat., 11 (2001), pp. 42-61.
    • (2001) Izv. Vyssh. Uchebn. Zaved. Mat. , vol.11 , pp. 42-61
    • Korneev, V.1    Fish, J.2
  • 16
    • 0027558407 scopus 로고
    • Balancing domain decomposition
    • J. Mandel, Balancing domain decomposition, Comm. Numer. Methods Engrg., 9 (1993), pp. 233-241.
    • (1993) Comm. Numer. Methods Engrg. , vol.9 , pp. 233-241
    • Mandel, J.1
  • 17
    • 0001885411 scopus 로고
    • Algebraic multigrid
    • S. F. McCormick, ed., SIAM, Philadelphia
    • 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.
    • (1987) Multigrid Methods, Frontiers Appl. Math. , vol.3 , pp. 73-130
    • Ruge, J.W.1    Stüben, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.