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Volumn 64, Issue 1, 2000, Pages 49-68

A Non-Overlapping Domain Decomposition Method for the Advection-Diffusion Problem

Author keywords

A posteriori error estimates; Domain decomposition; Interface condition

Indexed keywords


EID: 0345854978     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006070050003     Document Type: Article
Times cited : (22)

References (17)
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  • 4
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    • Adaptive domain decomposition methods for advection dominated equations
    • Gastaldi, F., Gastaldi, L., Quarteroni, A.: Adaptive domain decomposition methods for advection dominated equations. East West J. Num. Math. 4, 165-206 (1996).
    • (1996) East West J. Num. Math. , vol.4 , pp. 165-206
    • Gastaldi, F.1    Gastaldi, L.2    Quarteroni, A.3
  • 6
    • 0040366472 scopus 로고    scopus 로고
    • Stabilized Galerkin methods and layer-adapted grids for elliptic problems
    • Hangleiter, R., Lube, G.: Stabilized Galerkin methods and layer-adapted grids for elliptic problems. Comp. Meth. Appl. Mech. Engr. 166, 165-182 (1998).
    • (1998) Comp. Meth. Appl. Mech. Engr. , vol.166 , pp. 165-182
    • Hangleiter, R.1    Lube, G.2
  • 7
    • 0003121787 scopus 로고
    • On the Schwarz alternating method III: A variant for nonoverlapping subdomains
    • (Chan, T., et al., eds.), Philadelphia: SIAM
    • Lions, P. L.: On the Schwarz alternating method III: a variant for nonoverlapping subdomains, In: Third Int. Symp. Domain Decomposition Methods for Partial Differential Equations (Chan, T., et al., eds.), pp. 202-223. Philadelphia: SIAM 1990.
    • (1990) Third Int. Symp. Domain Decomposition Methods for Partial Differential Equations , pp. 202-223
    • Lions, P.L.1
  • 8
    • 0001630557 scopus 로고    scopus 로고
    • Uniform convergence of the Schwarz alternating method for solving singularly perturbed advection-diffusion equations
    • Matthew, T. P.: Uniform convergence of the Schwarz alternating method for solving singularly perturbed advection-diffusion equations. SIAM J. Numer. Anal. 35, 1663-1683 (1998).
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1663-1683
    • Matthew, T.P.1
  • 9
    • 0031537467 scopus 로고    scopus 로고
    • Convergence rate of some domain-decomposition methods for overlapping and nonoverlapping methods
    • Nataf, F., Nier, F.: Convergence rate of some domain-decomposition methods for overlapping and nonoverlapping methods. Numer. Math. 75, 357-377 (1997).
    • (1997) Numer. Math. , vol.75 , pp. 357-377
    • Nataf, F.1    Nier, F.2
  • 10
    • 0002837482 scopus 로고
    • Factorization of the convection-diffusion operator and the Schwarz algorithm
    • 3AS 5, 67-93 (1995).
    • (1995) 3AS , vol.5 , pp. 67-93
    • Nataf, F.1    Rogier, F.2
  • 12
    • 0032350341 scopus 로고    scopus 로고
    • A non-overlapping domain decomposition method for the Oseen equations
    • 3AS 8, 1091-1117 (1998).
    • (1998) 3AS , vol.8 , pp. 1091-1117
    • Otto, F.C.1    Lube, G.2
  • 13
    • 0032654690 scopus 로고    scopus 로고
    • A posteriori estimates for a non-overlapping domain decomposition method
    • Otto, F. C., Lube, G.: A posteriori estimates for a non-overlapping domain decomposition method. Computing 62, 27-43 (1999).
    • (1999) Computing , vol.62 , pp. 27-43
    • Otto, F.C.1    Lube, G.2
  • 17
    • 0038855305 scopus 로고    scopus 로고
    • A posteriori error estimates for convection-diffusion equations
    • Verfürth, R.: A posteriori error estimates for convection-diffusion equations. Numer. Math. 80, 641-663 (1998).
    • (1998) Numer. Math. , vol.80 , pp. 641-663
    • Verfürth, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.