메뉴 건너뛰기




Volumn 73, Issue 4, 1996, Pages 449-472

Robust iterativ methods for elliptic problems with highly varying coefficients in thin substructures

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030541081     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050200     Document Type: Article
Times cited : (5)

References (29)
  • 1
    • 0003208638 scopus 로고
    • Poincaré-Steklov operators and domain decomposition methods in finite dimensional spaces
    • R. Glowinski et al. eds., Philadelphia, SIAM
    • V. I. Agoshkov. Poincaré-Steklov operators and domain decomposition methods in finite dimensional spaces. In: R. Glowinski et al. eds., First Intern. Symp. on DD Methods for PDEs, Philadelphia, SIAM, 1988, 73-112.
    • (1988) First Intern. Symp. on DD Methods for PDEs , pp. 73-112
    • Agoshkov, V.I.1
  • 2
    • 0039616548 scopus 로고
    • On fast methods for the solution of Poisson equation
    • in Russian
    • N. S. Bakhvalov and M. Yu. Orekhov. On fast methods for the solution of Poisson equation. Zh.Vychisl.Mat. Mat Fiz., 1982, vol.22, No.6, 1386-1392 (in Russian).
    • (1982) Zh.Vychisl.Mat. Mat Fiz. , vol.22 , Issue.6 , pp. 1386-1392
    • Bakhvalov, N.S.1    Orekhov, M.Yu.2
  • 4
    • 21144473187 scopus 로고
    • A basic norm equivalence for the theory of multilevel methods
    • F. Bornemann and H. Yserentant. A basic norm equivalence for the theory of multilevel methods. Numer. Math., 64, 455-476 (1993).
    • (1993) Numer. Math. , vol.64 , pp. 455-476
    • Bornemann, F.1    Yserentant, H.2
  • 5
    • 0000671861 scopus 로고
    • A new convergence proof for the multigrid method including the V-cycle
    • D. Braess and W. Hackbusch. A new convergence proof for the multigrid method including the V-cycle, SIAM J. Numer. Anal., 20 (1983), 967-975.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 967-975
    • Braess, D.1    Hackbusch, W.2
  • 6
    • 84968476488 scopus 로고
    • The analysis of smoothers for multigrid algorithms
    • J. H. Bramble and J. E. Pasciak. The analysis of smoothers for multigrid algorithms. Math. Comp., v.58, No 198, 1992, 489-512.
    • (1992) Math. Comp. , vol.58 , Issue.198 , pp. 489-512
    • Bramble, J.H.1    Pasciak, J.E.2
  • 7
    • 84966199070 scopus 로고
    • The construction of preconditioners for elliptic problems by substructuring
    • J. H. Bramble, J. E. Pasciak and A. H. Schatz. The construction of preconditioners for elliptic problems by substructuring. I. Math. Comp., 47 (1986), 103-134.
    • (1986) I. Math. Comp. , vol.47 , pp. 103-134
    • Bramble, J.H.1    Pasciak, J.E.2    Schatz, A.H.3
  • 8
    • 84966255975 scopus 로고
    • Convergence estimates for multigrid algorithms without regularity assumptions
    • J. H. Bramble, J. E. Pasciak, J. Wang and J Xu. Convergence estimates for multigrid algorithms without regularity assumptions. Math. Comp., 57 (1991), pp.23-45.
    • (1991) Math. Comp. , vol.57 , pp. 23-45
    • Bramble, J.H.1    Pasciak, J.E.2    Wang, J.3    Xu, J.4
  • 9
    • 84966225192 scopus 로고
    • Convergence estimates for product iterative methods with applications to domain decomposition
    • J. H. Bramble, J. E. Pasciak, J. Wang and J. Xu. Convergence estimates for product iterative methods with applications to domain decomposition. Math. Comp., 57 (1991), 1-21.
    • (1991) Math. Comp. , vol.57 , pp. 1-21
    • Bramble, J.H.1    Pasciak, J.E.2    Wang, J.3    Xu, J.4
  • 10
  • 11
    • 0026976847 scopus 로고
    • Fourier and probe variant of vertex space domain decomposition algorithm
    • T. F. Chan et al. eds., SIAM, Philadelphia
    • T. F. Chan, T. P. Mathew and J.-P. Shao. Fourier and probe variant of vertex space domain decomposition algorithm. In: T. F. Chan et al. eds., V Intern. Symp. on DD methods for PDEs, SIAM, Philadelphia, 1993, 236-249.
    • (1993) V Intern. Symp. on DD Methods for PDEs , pp. 236-249
    • Chan, T.F.1    Mathew, T.P.2    Shao, J.-P.3
  • 12
    • 33845592412 scopus 로고
    • Multilevel preconditioning
    • W. Dahmen and A. Kunoth. Multilevel preconditioning. Numer. Math., v.63, 1992, pp.315-344.
    • (1992) Numer. Math. , vol.63 , pp. 315-344
    • Dahmen, W.1    Kunoth, A.2
  • 13
    • 0003922593 scopus 로고
    • An additive variant of the Schwarz alternating method for the case of many subregions
    • Courant Inst. of Mathematical Science
    • M. Dryja and O. Widlund. An additive variant of the Schwarz alternating method for the case of many subregions. Technical Report 339. Courant Inst. of Mathematical Science, 1987.
    • (1987) Technical Report 339
    • Dryja, M.1    Widlund, O.2
  • 15
    • 34249963996 scopus 로고
    • The frequency decomposition multi-grid method. Part 1: Application to anisotropic equations
    • W. Hackbusch. The frequency decomposition multi-grid method. Part 1: Application to anisotropic equations. Numer. Math., 56, (1989), 229-245.
    • (1989) Numer. Math. , vol.56 , pp. 229-245
    • Hackbusch, W.1
  • 16
    • 0040208277 scopus 로고
    • Geometry independent preconditioners for boundary in-terface operators in elliptic problems
    • F.-K. Hebeker and B. N. Khoromskij. Geometry independent preconditioners for boundary in-terface operators in elliptic problems. East-West Journal of Numer. Math., vol.2, No 1, 1994, pp.47-63.
    • (1994) East-West Journal of Numer. Math. , vol.2 , Issue.1 , pp. 47-63
    • Hebeker, F.-K.1    Khoromskij, B.N.2
  • 17
    • 0040802760 scopus 로고
    • On the fast computations with the inverse to harmonic potential operators via domain decomposition
    • Preprint No. 233, 6 Jg., Fachbereich Mathematik, TU Chemnitz, (to appear)
    • B. N. Khoromskij. On the fast computations with the inverse to harmonic potential operators via domain decomposition. Preprint No. 233, 6 Jg., Fachbereich Mathematik, TU Chemnitz, 1992; JNLAA (to appear).
    • (1992) JNLAA
    • Khoromskij, B.N.1
  • 21
    • 0027183813 scopus 로고
    • Diffusant concentration profiles within corneocytes and lipid phase of stratum corneum
    • Controlled Release Society, Inc
    • R. Lieckfeldt, G. W. J. Lee, G. Wittum and M. Heisig. Diffusant concentration profiles within corneocytes and lipid phase of stratum corneum. Proceed. Intern. Symp. Re. Bioact. Mater., 10 (1993) Controlled Release Society, Inc.
    • (1993) Proceed. Intern. Symp. Re. Bioact. Mater. , vol.10
    • Lieckfeldt, R.1    Lee, G.W.J.2    Wittum, G.3    Heisig, M.4
  • 22
    • 0040208361 scopus 로고
    • Domain decomposition method for the elliptic problem with jumps in the coefficients in thin strips
    • University of Wyoming, Enhanced Oil Recovery Inst.
    • S. V. Nepomnyashikh. Domain decomposition method for the elliptic problem with jumps in the coefficients in thin strips. Techn. Report 1991-04, University of Wyoming, Enhanced Oil Recovery Inst., 1991.
    • (1991) Techn. Report 1991-04
    • Nepomnyashikh, S.V.1
  • 23
    • 0004125373 scopus 로고
    • Domain decomposition algorithms for partial differential equations of linear elasticity
    • Courant Inst. of Math. Sciences, New York
    • B. F. Smith. Domain decomposition algorithms for partial differential equations of linear elasticity. Techn. Report 517, Courant Inst. of Math. Sciences, New York (1990).
    • (1990) Techn. Report 517 , vol.517
    • Smith, B.F.1
  • 24
    • 0007370521 scopus 로고
    • Linear iterations as smoothers in multigrid methods: Theory with applications to incomplete decompositions
    • G. Wittum. Linear iterations as smoothers in multigrid methods: theory with applications to incomplete decompositions. Impact of Computing in Sci. Engrg., 1, 1989, 180-215.
    • (1989) Impact of Computing in Sci. Engrg. , vol.1 , pp. 180-215
    • Wittum, G.1
  • 25
    • 0000561596 scopus 로고
    • On the robustness of ILU-smoothing
    • G. Wittum. On the robustness of ILU-smoothing. SIAM J. Sci. Stat. Comput., 10, 699-717 (1989).
    • (1989) SIAM J. Sci. Stat. Comput. , vol.10 , pp. 699-717
    • Wittum, G.1
  • 26
    • 6244294150 scopus 로고
    • Frequenzfilternde zerlegungen - Ein beitrag zur schnellen lösung grosser gleichungssysteme
    • Teubner, Stuttgart
    • G. Wittum. Frequenzfilternde Zerlegungen - Ein Beitrag zur schnellen Lösung grosser Gleichungssysteme. Teubner Skripten zur Numerik Band 1, Teubner, Stuttgart, 1992.
    • (1992) Teubner Skripten Zur Numerik , vol.1
    • Wittum, G.1
  • 27
    • 0039683649 scopus 로고
    • On parallel frequency filtering
    • W. Hackbusch and G. Wittum eds.
    • W. Weiler and G. Wittum. On parallel frequency filtering. NNFM, v.41, (W. Hackbusch and G. Wittum eds.), 1993, 188-201.
    • (1993) NNFM , vol.41 , pp. 188-201
    • Weiler, W.1    Wittum, G.2
  • 28
    • 0000570696 scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • J. Xu. Iterative methods by space decomposition and subspace correction. SIAM Review 34, 1992, 581-613.
    • (1992) SIAM Review , vol.34 , pp. 581-613
    • Xu, J.1
  • 29
    • 84971922635 scopus 로고
    • Old and new convergence proofs for multigrid methods
    • H. Yserentant. Old and new convergence proofs for multigrid methods., Acta Numerica (1993), 285-326.
    • (1993) Acta Numerica , pp. 285-326
    • Yserentant, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.