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Computing (Vienna/New York)
Volumn 65, Issue 3, 2000, Pages 193-202
On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems
Author keywords

Multigrid; Reaction diffusion
Indexed keywords

EID: 0038299924     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006070070006     Document Type: Article
Times cited : (37)
References (12)
  • 1
    • 0001377512 scopus 로고
    • The hierarchical basis multigrid method
    • Bank, R. E., Dupont, T., Yserentant, H.: The hierarchical basis multigrid method. Numer. Math. 52, 427-458 (1988).
    • (1988) Numer. Math. , vol.52 , pp. 427-458
    • Bank, R.E.1    Dupont, T.2    Yserentant, H.3
  • 2
    • 84966234195 scopus 로고
    • Parallel multilevel preconditioners
    • Bramble, J. H., Pasciak, J. E., Xu, J.: Parallel multilevel preconditioners. Math. Comp. 55, 1-22 (1990).
    • (1990) Math. Comp. , vol.55 , pp. 1-22
    • Bramble, J.H.1    Pasciak, J.E.2    Xu, J.3
  • 3
    • 8544220284 scopus 로고
    • Basic error estimates for elliptic problems
    • (Ciarlet, P. G., Lions, J. L., eds.), Amsterdam, New York: North-Holland
    • Ciarlet, P. G.: Basic error estimates for elliptic problems. In: Handbook of numerical analysis II (Ciarlet, P. G., Lions, J. L., eds.), pp. 17-225. Amsterdam, New York: North-Holland, 1991.
    • (1991) Handbook of Numerical Analysis II , vol.2 , pp. 17-225
    • Ciarlet, P.G.1
  • 4
    • 0000277689 scopus 로고
    • Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems
    • Griebel, M., Oswald, P.: Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. Adv. Comput. Math. 4, 171-206 (1995).
    • (1995) Adv. Comput. Math. , vol.4 , pp. 171-206
    • Griebel, M.1    Oswald, P.2
  • 8
    • 84966220357 scopus 로고
    • On the finite element method for singularly perturbed reaction-diffusion problems in two and one dimensions
    • Schatz, A. H., Wahlbin, L. B.: On the finite element method for singularly perturbed reaction-diffusion problems in two and one dimensions. Math. Comp. 40, 47-89 (1983).
    • (1983) Math. Comp. , vol.40 , pp. 47-89
    • Schatz, A.H.1    Wahlbin, L.B.2
  • 9
    • 70350504045 scopus 로고
    • Local behaviour in finite element methods
    • Ciarlet, P. G., Lions, J. L., eds., Amsterdam, New York: North-Holland
    • Wahlbin, L. B.: Local behaviour in finite element methods. In: Handbook of numerical analysis II (Ciarlet, P. G., Lions, J. L., eds.), pp. 353-522. Amsterdam, New York: North-Holland, 1991.
    • (1991) Handbook of Numerical Analysis II , vol.2 , pp. 353-522
    • Wahlbin, L.B.1
  • 10
    • 0031314024 scopus 로고    scopus 로고
    • A robust hierarchical basis preconditioner on general meshes
    • Stevenson, R.: A robust hierarchical basis preconditioner on general meshes. Numer. Math. 78, 269-303 (1997).
    • (1997) Numer. Math. , vol.78 , pp. 269-303
    • Stevenson, R.1
  • 11
    • 0000570696 scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • Xu, J.: Iterative methods by space decomposition and subspace correction. SIAM Rev. 34, 581-613 (1992).
    • (1992) SIAM Rev. , vol.34 , pp. 581-613
    • Xu, J.1
  • 12
    • 84971922635 scopus 로고
    • Old and new convergence proofs for multigrid methods
    • Yserentant, H.: Old and new convergence proofs for multigrid methods. Acta Numer. 2, 285-326 (1993).
    • (1993) Acta Numer. , vol.2 , pp. 285-326
    • Yserentant, H.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.