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Volumn 190, Issue 1, 2007, Pages 946-964

Overlapping Schwarz wave form relaxation for the solution of coupled and decoupled system of convection diffusion reaction equation

Author keywords

Convergence analysis; Domain decomposition methods; Error analysis; Numerical simulation; Operator splitting methods; Parabolic partial differential equations

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DOMAIN DECOMPOSITION METHODS; ERROR ANALYSIS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; WAVEFORM ANALYSIS;

EID: 34249815838     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.01.090     Document Type: Article
Times cited : (13)

References (17)
  • 1
    • 0032598136 scopus 로고    scopus 로고
    • A transient model for the sublimation growth of silicon carbide single crystals
    • Bubner N., Klein O., Philip P., Sprekels J., and Wilmanski K. A transient model for the sublimation growth of silicon carbide single crystals. J. Cryst. Growth 205 (1999) 294-304
    • (1999) J. Cryst. Growth , vol.205 , pp. 294-304
    • Bubner, N.1    Klein, O.2    Philip, P.3    Sprekels, J.4    Wilmanski, K.5
  • 2
    • 0002047515 scopus 로고
    • Additive Schwarz algorithms for parabolic convection-diffusion equations
    • Cai X.C. Additive Schwarz algorithms for parabolic convection-diffusion equations. Numer. Math. 60 1 (1991) 41-61
    • (1991) Numer. Math. , vol.60 , Issue.1 , pp. 41-61
    • Cai, X.C.1
  • 3
    • 0001146491 scopus 로고
    • Multiplicative Schwarz methods for parabolic problems
    • Cai X.C. Multiplicative Schwarz methods for parabolic problems. SIAM J. Sci. Comput. 15 3 (1994) 587-603
    • (1994) SIAM J. Sci. Comput. , vol.15 , Issue.3 , pp. 587-603
    • Cai, X.C.1
  • 4
    • 34249801886 scopus 로고    scopus 로고
    • D.S. Daoud, M.J. Gander, Overlapping Schwarz waveform relaxation for convection diffusion reaction problems, in: Proceeding of DD13 Conference, France, published by CIMNE, Barcelona, Spain, April 2002 (first edition).
  • 5
    • 2942641317 scopus 로고    scopus 로고
    • Up-scaling of biological processes and multiphase flow in porous media
    • Springer-Verlag
    • Ewing R.E. Up-scaling of biological processes and multiphase flow in porous media. IIMA Volumes in Mathematics and Applications vol. 295 (2002), Springer-Verlag 195-215
    • (2002) IIMA Volumes in Mathematics and Applications , vol.295 , pp. 195-215
    • Ewing, R.E.1
  • 6
    • 34249816251 scopus 로고    scopus 로고
    • M.J. Gander, H. Zhao, Overlapping Schwarz waveform relaxation for parabolic problems in higher dimension, in: A. Handlovičová, Magda Komorni{dotless}́kova, Karol Mikula (Eds.), Proceedings of Algoritmy 14, Slovak Technical University, September 1997, pp. 42-51.
  • 7
    • 80053439086 scopus 로고    scopus 로고
    • J. Geiser, R.E. Ewing, J. Liu, Operator splitting methods for transport equations with nonlinear reactions, in: Proceedings of the Third MIT Conference on Computational Fluid and Solid Mechanic, Cambridge, MA, June 14-17, 2005.
  • 8
    • 34249817378 scopus 로고    scopus 로고
    • E. Giladi, H. Keller, Space time domain decomposition for parabolic problems, Technical Report 97-4, Center for research on parallel computation CRPC, Caltech, 1997.
  • 9
    • 34249828313 scopus 로고    scopus 로고
    • W.H. Hundsdorfer, Numerical Solution od Advection-Diffusion-Reaction Equations, Technical Report NM-N9603, CWI, 1996.
  • 11
    • 0035506240 scopus 로고    scopus 로고
    • Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies
    • Karlsen K.H., Lie K.A., Natvig J.R., Nordhaug H.F., and Dahle H.K. Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies. J. Comput. Phys. 173 2 (2001) 636-663
    • (2001) J. Comput. Phys. , vol.173 , Issue.2 , pp. 636-663
    • Karlsen, K.H.1    Lie, K.A.2    Natvig, J.R.3    Nordhaug, H.F.4    Dahle, H.K.5
  • 12
    • 0012630605 scopus 로고
    • Some applications of splitting-up methods to the solution of problems in mathematical physics
    • Marchuk G.I. Some applications of splitting-up methods to the solution of problems in mathematical physics. Aplikace Matematiky 1 (1968) 103-132
    • (1968) Aplikace Matematiky , vol.1 , pp. 103-132
    • Marchuk, G.I.1
  • 13
    • 34249786063 scopus 로고    scopus 로고
    • Gérard A. Meurant, Numerical experiments with a domain decomposition method for parabolic problems on parallel computers. in: Roland Glowinski, Yuri A. Kuznetsov, Gérard A. Meurant, Jacques Périaux, Olof Widlund (Eds.), Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations, Philadelphia, PA, 1991, SIAM.
  • 15
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • Strang G. On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 5 (1968) 506-517
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 506-517
    • Strang, G.1
  • 16
    • 84942401124 scopus 로고
    • Über einige Abbildungsaufgaben
    • Schwarz H.A. Über einige Abbildungsaufgaben. J. Reine Angew. Math. 70 (1869) 105-120
    • (1869) J. Reine Angew. Math. , vol.70 , pp. 105-120
    • Schwarz, H.A.1
  • 17
    • 34249815619 scopus 로고    scopus 로고
    • J.G. Verwer, B. Sportisse, A note on operator splitting in a stiff linear case, MAS-R9830, ISSN 1386-3703, 1998.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.