메뉴 건너뛰기




Volumn 85, Issue 2, 1997, Pages 287-313

Iterative solution of elliptic problems by approximate factorization

Author keywords

Asymptotic factorization; Defect correction iteration; Preconditioners

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EID: 0031270428     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00132-5     Document Type: Article
Times cited : (8)

References (23)
  • 2
    • 0042697458 scopus 로고
    • A multigrid tutorial
    • Philadelphia, PA
    • W.L. Briggs, A Multigrid Tutorial, SIAM, Philadelphia, PA, 1987.
    • (1987) SIAM
    • Briggs, W.L.1
  • 3
    • 0041467090 scopus 로고
    • A domain decomposition method for generating orthogonal polynomials
    • R. Chin, A domain decomposition method for generating orthogonal polynomials, J. Comput. Phys. 99 (1992) 321-336.
    • (1992) J. Comput. Phys. , vol.99 , pp. 321-336
    • Chin, R.1
  • 5
    • 0000850678 scopus 로고
    • A hybrid asymptotic-finite element method for stiff two-point boundary value problems
    • R.C.Y. Chin, R. Krasny, A hybrid asymptotic-finite element method for stiff two-point boundary value problems, SIAM J. Sci. Statist. Comput. 4 (1983) 229-243.
    • (1983) SIAM J. Sci. Statist. Comput. , vol.4 , pp. 229-243
    • Chin, R.C.Y.1    Krasny, R.2
  • 8
    • 0009823252 scopus 로고
    • A domain decomposition method for a convection diffusion equation with turning point
    • T.F. Chan, R. Glowinski, J. Periaux, O. Widlund (Eds.)
    • G.W. Hedstrom, F.A. Howes, A domain decomposition method for a convection diffusion equation with turning point, in: T.F. Chan, R. Glowinski, J. Periaux, O. Widlund (Eds.), Domain Decomposition Methods, 1988.
    • (1988) Domain Decomposition Methods
    • Hedstrom, G.W.1    Howes, F.A.2
  • 13
    • 0003977440 scopus 로고
    • Numerical solution of boundary value problems for ordinary differential equations
    • Philadelphia, PA
    • R.M.M. Mattheij, U.M. Ascher, R.D. Russell, Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, SIAM, Philadelphia, PA, 1995.
    • (1995) SIAM
    • Mattheij, R.M.M.1    Ascher, U.M.2    Russell, R.D.3
  • 14
    • 84968468686 scopus 로고
    • Parabolic approximations of the convection-diffusion equation
    • F. Nataf, J.P. Loheac, M. Schatzman, Parabolic approximations of the convection-diffusion equation, Math. Comp. 60 (1993) 515-530.
    • (1993) Math. Comp. , vol.60 , pp. 515-530
    • Nataf, F.1    Loheac, J.P.2    Schatzman, M.3
  • 15
    • 84966222032 scopus 로고
    • Solving linear boundary value problems by approximating the coefficients
    • S.A. Pruess, Solving linear boundary value problems by approximating the coefficients, Math. Comp. 27 (1970) 551-561.
    • (1970) Math. Comp. , vol.27 , pp. 551-561
    • Pruess, S.A.1
  • 16
    • 0001977923 scopus 로고
    • A domain decomposition method for boundary layer problems
    • T.F. Chan, R. Glowinsky, J. Periaux, O. Widlund (Eds.)
    • G. Rodrigue, E. Reiter, A domain decomposition method for boundary layer problems, in: T.F. Chan, R. Glowinsky, J. Periaux, O. Widlund (Eds.), Domain Decomposition Methods, 1988.
    • (1988) Domain Decomposition Methods
    • Rodrigue, G.1    Reiter, E.2
  • 18
    • 0043123354 scopus 로고
    • An iterative method for systems of nonlinear hyperbolic equations
    • J.S. Scroggs, An iterative method for systems of nonlinear hyperbolic equations, Comput. Math. Appl. 21(5) (1989) 137-144.
    • (1989) Comput. Math. Appl. , vol.21 , Issue.5 , pp. 137-144
    • Scroggs, J.S.1
  • 19
    • 0026105776 scopus 로고
    • A physically motivated domain decomposition for singularly perturbed equations
    • J.S. Scroggs, A physically motivated domain decomposition for singularly perturbed equations, SIAM J. Numer. Anal. 28(1) (1991) 168-178.
    • (1991) SIAM J. Numer. Anal. , vol.28 , Issue.1 , pp. 168-178
    • Scroggs, J.S.1
  • 20
    • 0043123389 scopus 로고
    • Distributed-memory computing of a physically-motivated domain decomposition method
    • SIAM, Philadelphia, PA
    • J.S. Scroggs, J. Saltz, Distributed-memory computing of a physically-motivated domain decomposition method, in: Proc. of SIAM Conf. on Domain Decomposition, SIAM, Philadelphia, PA, 1990.
    • (1990) Proc. of SIAM Conf. on Domain Decomposition
    • Scroggs, J.S.1    Saltz, J.2
  • 21
    • 33745580052 scopus 로고
    • The defect correction principle and discretization methods
    • H.J. Stetter, The defect correction principle and discretization methods, Numer. Math, 29 (1978) 425-443.
    • (1978) Numer. Math , vol.29 , pp. 425-443
    • Stetter, H.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.