메뉴 건너뛰기




Volumn 96, Issue 1, 1998, Pages 51-76

Coercive domain decomposition algorithms for advection-diffusion equations and systems

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS;

EID: 0032480409     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00091-0     Document Type: Article
Times cited : (15)

References (18)
  • 1
    • 0031121768 scopus 로고    scopus 로고
    • A domain decomposition approach for heterogeneous time-harmonic Maxwell equations
    • [1] A. Alonso, A. Valli, A domain decomposition approach for heterogeneous time-harmonic Maxwell equations, Comput. Meth. Appl. Mech. Eng. 143 (1997) 97-112.
    • (1997) Comput. Meth. Appl. Mech. Eng. , vol.143 , pp. 97-112
    • Alonso, A.1    Valli, A.2
  • 2
    • 85030346624 scopus 로고    scopus 로고
    • A note on domain decomposition of singularly perturbed elliptic problems
    • P. Bjørstad, M. Espedal, D. Keyes (Eds.), Wiley, New York, to appear
    • [2] A. Auge, A. Kapurkin, G. Lube, F.C. Otto, A note on domain decomposition of singularly perturbed elliptic problems, in: P. Bjørstad, M. Espedal, D. Keyes (Eds.), Proc. IX Domain Decomposition Conf., Wiley, New York, to appear.
    • Proc. IX Domain Decomposition Conf.
    • Auge, A.1    Kapurkin, A.2    Lube, G.3    Otto, F.C.4
  • 3
    • 85030349176 scopus 로고    scopus 로고
    • A non-overlapping decomposition method with adaptive interface conditions for elliptic problems
    • to appear
    • [3] A. Auge, G. Lube, F.C. Otto, A non-overlapping decomposition method with adaptive interface conditions for elliptic problems, Proc. XIII GAMM-Seminar, to appear.
    • Proc. XIII GAMM-Seminar
    • Auge, A.1    Lube, G.2    Otto, F.C.3
  • 4
    • 0022918065 scopus 로고
    • Iterative methods for the solution of elliptic problems on regions partitioned into substructures
    • [4] P.E. Bjørstad, O.B. Widlund, Iterative methods for the solution of elliptic problems on regions partitioned into substructures, SIAM J. Numer. Anal. 23 (1986) 1097-1120.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 1097-1120
    • Bjørstad, P.E.1    Widlund, O.B.2
  • 5
    • 84966238014 scopus 로고
    • An iterative method for elliptic problems on regions partitioned into substructures
    • [5] J.H. Bramble, J.E. Pasciak, A.H. Schatz, An iterative method for elliptic problems on regions partitioned into substructures, Math. Comput. 46 (1986) 361-369.
    • (1986) Math. Comput. , vol.46 , pp. 361-369
    • Bramble, J.H.1    Pasciak, J.E.2    Schatz, A.H.3
  • 6
    • 0343544658 scopus 로고
    • An additive Schwarz algorithm for nonselfadjoint elliptic equations
    • T.F. Chan, R. Glowinski, J. Périaux, O.B. Widlund (Eds.), SIAM, Philadelphia
    • [6] X.-C. Cai, An additive Schwarz algorithm for nonselfadjoint elliptic equations, in: T.F. Chan, R. Glowinski, J. Périaux, O.B. Widlund (Eds.), 3rd Internat. Symp. on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, 1990, pp. 232-244.
    • (1990) 3rd Internat. Symp. on Domain Decomposition Methods for Partial Differential Equations , pp. 232-244
    • Cai, X.-C.1
  • 8
    • 85030341239 scopus 로고    scopus 로고
    • Adaptive domain decomposition algorithms and finite volume/finite element approximation for advection-diffusion equations
    • [8] M.C. Ciccoli, Adaptive domain decomposition algorithms and finite volume/finite element approximation for advection-diffusion equations, Report CRS4-APPMATH-95/1.
    • Report CRS4-APPMATH-95/1
    • Ciccoli, M.C.1
  • 9
    • 85030341320 scopus 로고    scopus 로고
    • Multidomain finite elements and finite volumes for advection-diffusion equations
    • P. Bjørstad, M. Espedal, D. Keyes (Eds.), Wiley, New York, to appear
    • [9] M.C. Ciccoli, R.L. Trotta, Multidomain finite elements and finite volumes for advection-diffusion equations, in: P. Bjørstad, M. Espedal, D. Keyes (Eds.), Proc. IX Domain Decomposition Conf., Wiley, New York, to appear.
    • Proc. IX Domain Decomposition Conf.
    • Ciccoli, M.C.1    Trotta, R.L.2
  • 11
    • 0030409054 scopus 로고    scopus 로고
    • Adaptive domain decomposition methods for advection dominated equations
    • [11] F. Gastaldi, L. Gastaldi, A. Quarteroni, Adaptive domain decomposition methods for advection dominated equations, East-West J. Numer. Math. 3 (1996) 165-206.
    • (1996) East-West J. Numer. Math. , vol.3 , pp. 165-206
    • Gastaldi, F.1    Gastaldi, L.2    Quarteroni, A.3
  • 12
    • 45149144830 scopus 로고
    • A new finite element formulation for computational fluid dynamics, VIII. The Galerkin-least squares method for advective-diffusive equations
    • [12] T.J.R. Hughes, L.P. Franca, G.M. Hulbert, A new finite element formulation for computational fluid dynamics, VIII. The Galerkin-least squares method for advective-diffusive equations, Comput. Meth. Appl. Mech. Eng. 73 (1989) 173-189.
    • (1989) Comput. Meth. Appl. Mech. Eng. , vol.73 , pp. 173-189
    • Hughes, T.J.R.1    Franca, L.P.2    Hulbert, G.M.3
  • 14
    • 0003121787 scopus 로고
    • On the Schwarz alternating method III: A variant for nonoverlapping subdomains
    • T.F Chan, R. Glowinski, J. Périaux, O.B. Windlund (Eds.), SIAM, Philadelphia
    • [14] P.L. Lions, On the Schwarz alternating method III: a variant for nonoverlapping subdomains, in: T.F Chan, R. Glowinski, J. Périaux, O.B. Windlund (Eds.), 3rd Internat. Symp. on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, 1990, pp. 202-231.
    • (1990) 3rd Internat. Symp. on Domain Decomposition Methods for Partial Differential Equations , pp. 202-231
    • Lions, P.L.1
  • 15
    • 0000364321 scopus 로고
    • A relaxation procedure for domain decomposition methods using finite elements
    • [15] L.D. Marini, A. Quarteroni, A relaxation procedure for domain decomposition methods using finite elements, Numer. Math. 55 (1989) 575-598.
    • (1989) Numer. Math. , vol.55 , pp. 575-598
    • Marini, L.D.1    Quarteroni, A.2
  • 16
    • 0002837482 scopus 로고
    • Factorization of the convection-diffusion operator and the Schwarz algorithm
    • [16] F. Nataf, F. Rogier, Factorization of the convection-diffusion operator and the Schwarz algorithm, Math. Models Meth. Appl. Sci. 55 (1995) 67-93.
    • (1995) Math. Models Meth. Appl. Sci. , vol.55 , pp. 67-93
    • Nataf, F.1    Rogier, F.2
  • 17
    • 0030148379 scopus 로고    scopus 로고
    • Multidomain finite elements for advection-diffusion equations
    • [17] R.L. Trotta, Multidomain finite elements for advection-diffusion equations, Appl. Numer. Math. 21 (1996) 91-118.
    • (1996) Appl. Numer. Math. , vol.21 , pp. 91-118
    • Trotta, R.L.1
  • 18
    • 0026995615 scopus 로고
    • Some Schwarz methods for symmetric and nonsymmetric elliptic problems
    • D.E. Keyes, T.F. Chan, G. Meurant, J.S. Scroggs, R.G. Voigt (Eds.), SIAM, Philadelphia
    • [18] O.B. Widlund, Some Schwarz methods for symmetric and nonsymmetric elliptic problems, in: D.E. Keyes, T.F. Chan, G. Meurant, J.S. Scroggs, R.G. Voigt (Eds.), 5th Internat. Symp. on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, 1992, pp. 19-36.
    • (1992) 5th Internat. Symp. on Domain Decomposition Methods for Partial Differential Equations , pp. 19-36
    • Widlund, O.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.