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Volumn 21, Issue 3, 2005, Pages 623-648

Numerical approximation of two-dimensional convection-diffusion equations with boundary layers

Author keywords

Boundary layers; Convection diffusion; Finite elements; Singularly perturbed problem

Indexed keywords


EID: 18744411796     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.20054     Document Type: Article
Times cited : (18)

References (13)
  • 1
    • 0036568418 scopus 로고    scopus 로고
    • Numerical approximation of one‐dimensional stationary diffusion equations with boundary layers
    • 1 W. Cheng and R. Temam, Numerical approximation of one‐dimensional stationary diffusion equations with boundary layers, Computers and Fluids 31 ( 2002), 453–466.
    • (2002) Computers and Fluids , vol.31 , pp. 453-466
    • Cheng, W.1    Temam, R.2
  • 2
    • 84894031122 scopus 로고    scopus 로고
    • Numerical approximation of two‐dimensional convection‐diffusion equations with multiple boundary layers
    • 2 C. Jung and R. Temam, Numerical approximation of two‐dimensional convection‐diffusion equations with multiple boundary layers. In preparation.
    • Jung, C.1    Temam, R.2
  • 3
    • 29144432614 scopus 로고    scopus 로고
    • Partial differential equations with numerical methods
    • 3 S. Larsson and V. Thomée, Partial differential equations with numerical methods, Springer‐Verlag, Berlin, 2003.
    • (2003)
    • Larsson, S.1    Thomée, V.2
  • 4
    • 0003714777 scopus 로고
    • Perturbations singulières dans les problèmes aux limites et en contrôle optimal, in:
    • 4 J. L. Lions, Perturbations singulières dans les problèmes aux limites et en contrôle optimal. (French) Lecture Notes in Mathematics, Vol. 323, Springer‐Verlag, Berlin‐New York, 1973.
    • (1973) , vol.323
    • Lions, J.L.1
  • 5
    • 0003560721 scopus 로고
    • The finite element method for elliptic problems
    • 5 P. G. Ciarlet, The finite element method for elliptic problems, North‐Holland, New York, 1978.
    • (1978)
    • Ciarlet, P.G.1
  • 6
    • 0000739785 scopus 로고    scopus 로고
    • New approximation algorithms for a class of partial differential equations displaying boundary layer behavior
    • 6 W. Cheng, R. Temam, and X. Wang, New approximation algorithms for a class of partial differential equations displaying boundary layer behavior, Methods Appl Anal 7 (2) ( 2000), 363–390.
    • (2000) Methods Appl Anal , vol.7 , Issue.2 , pp. 363-390
    • Cheng, W.1    Temam, R.2    Wang, X.3
  • 7
    • 0000032004 scopus 로고
    • Boundary layers in linear elliptic singular perturbations
    • 7 W. Eckhaus, Boundary layers in linear elliptic singular perturbations, SIAM Rev 14 ( 1972), 225–270.
    • (1972) SIAM Rev , vol.14 , pp. 225-270
    • Eckhaus, W.1
  • 8
    • 0010540006 scopus 로고    scopus 로고
    • Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type
    • 8 W. Eckhaus and E. M. De Jager, Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type, Arch Rational Mech Anal 23 ( 1996), 26–86.
    • (1996) Arch Rational Mech Anal , vol.23 , pp. 26-86
    • Eckhaus, W.1    De Jager, E.M.2
  • 9
    • 0003630434 scopus 로고
    • Introduction to perturbation methods
    • 9 M. H. Holmes, Introduction to perturbation methods, Springer‐Verlag, New York, 1995.
    • (1995)
    • Holmes, M.H.1
  • 10
    • 1142302997 scopus 로고    scopus 로고
    • The motion of internal layers in singularly perturbed advection‐diffusion‐reaction equations
    • 10 K. R. Knaub and R. E. O'Malley, The motion of internal layers in singularly perturbed advection‐diffusion‐reaction equations, Stud Appl Math 112 (1) ( 2004), 1–15.
    • (2004) Stud Appl Math , vol.112 , Issue.1 , pp. 1-15
    • Knaub, K.R.1    O'Malley, R.E.2
  • 11
    • 0040917173 scopus 로고
    • Singular perturbation analysis for ordinary differential equations
    • 11 R. E. O'Malley, Singular perturbation analysis for ordinary differential equations. Communications of the Mathematical Institute, Rijksuniversiteit Utrecht, 5. Rijksuniversiteit Utrecht, Mathematical Institute, Utrecht, 1977.
    • (1977)
    • O'Malley, R.E.1
  • 12
    • 0035583995 scopus 로고    scopus 로고
    • Naive singular perturbation theory. Special issue in memory of Richard Weiss
    • 12 R. E. O'Malley, Naive singular perturbation theory. Special issue in memory of Richard Weiss, Math Models Methods Appl Sci 11 (1) ( 2001), 119–131.
    • (2001) Math Models Methods Appl Sci , vol.11 , Issue.1 , pp. 119-131
    • O'Malley, R.E.1
  • 13
    • 0003057670 scopus 로고
    • Regular degeneration and boundary layer for linear differential equations with small parameter
    • 13 M. I. Vishik and L. A. Lyusternik, Regular degeneration and boundary layer for linear differential equations with small parameter, Uspekki Mat Nauk 12 ( 1957), 3–122.
    • (1957) Uspekki Mat Nauk , vol.12 , pp. 3-122
    • Vishik, M.I.1    Lyusternik, L.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.