메뉴 건너뛰기




Volumn 26, Issue 3, 2001, Pages 281-299

Defect correction on Shishkin-type meshes

Author keywords

Convection diffusion problems; Defect correction; Shishkin type mesh; Singular perturbation

Indexed keywords


EID: 0035606539     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016664926018     Document Type: Article
Times cited : (26)

References (18)
  • 1
    • 0042611999 scopus 로고    scopus 로고
    • On the convergence, uniform with respect to a small parameter, of monotone three-point difference approximations
    • V.B. Andreev and N.V. Kopteva, On the convergence, uniform with respect to a small parameter, of monotone three-point difference approximations, Differential Equations 34 (1998) 921-929.
    • (1998) Differential Equations , vol.34 , pp. 921-929
    • Andreev, V.B.1    Kopteva, N.V.2
  • 2
    • 0000799545 scopus 로고    scopus 로고
    • The computation of boundary flow with uniform accuracy with respect to a small parameter
    • V.B. Andreev and I.A. Savin, The computation of boundary flow with uniform accuracy with respect to a small parameter, Comput. Math. Math. Phys. 36 (1996) 1687-1692.
    • (1996) Comput. Math. Math. Phys. , vol.36 , pp. 1687-1692
    • Andreev, V.B.1    Savin, I.A.2
  • 4
    • 0008759565 scopus 로고
    • An analysis of a defect-correction method for a model convection diffusion equation
    • V. Ervin and W. Layton, An analysis of a defect-correction method for a model convection diffusion equation, SIAM J. Numer. Anal. 26 (1989) 169-179.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 169-179
    • Ervin, V.1    Layton, W.2
  • 5
    • 0343462153 scopus 로고    scopus 로고
    • The ε-uniform convergence of a defect-correction method on a Shishkin mesh
    • A. Fröhner and H.G. Roos, The ε-uniform convergence of a defect-correction method on a Shishkin mesh, Appl. Numer. Math. 37 (2001) 79-94.
    • (2001) Appl. Numer. Math. , vol.37 , pp. 79-94
    • Fröhner, A.1    Roos, H.G.2
  • 7
    • 84966216257 scopus 로고
    • Analysis of some difference approximations for a singular perturbation problem without turning points
    • R.B. Kellogg and A. Tsan, Analysis of some difference approximations for a singular perturbation problem without turning points, Math. Comp. 32 (1978) 1025-1039.
    • (1978) Math. Comp. , vol.32 , pp. 1025-1039
    • Kellogg, R.B.1    Tsan, A.2
  • 8
    • 0041754355 scopus 로고    scopus 로고
    • Uniform second-order pointwise convergence of a central difference approximation for a quasilinear convection-diffusion problem
    • to appear
    • N.V. Kopteva and T. Linß, Uniform second-order pointwise convergence of a central difference approximation for a quasilinear convection-diffusion problem, J. Comput. Appl. Math, to appear.
    • J. Comput. Appl. Math
    • Kopteva, N.V.1    Linß, T.2
  • 9
    • 0344614030 scopus 로고    scopus 로고
    • An upwind difference scheme on a novel Shishkin-type mesh for a linear convection-diffusion problem
    • T. Linß, An upwind difference scheme on a novel Shishkin-type mesh for a linear convection-diffusion problem, J. Comput. Appl. Math. 110 (1999) 93-104.
    • (1999) J. Comput. Appl. Math. , vol.110 , pp. 93-104
    • Linß, T.1
  • 10
    • 0034347979 scopus 로고    scopus 로고
    • Analysis of a Galerkin finite element method on a Bakhvalov-Shishkin mesh for a linear convection-diffusion problem
    • T. Linß, Analysis of a Galerkin finite element method on a Bakhvalov-Shishkin mesh for a linear convection-diffusion problem, IMA J. Numer. Anal. 20 (2000) 621-632.
    • (2000) IMA J. Numer. Anal. , vol.20 , pp. 621-632
    • Linß, T.1
  • 11
    • 17744363262 scopus 로고    scopus 로고
    • Numerical methods on Shishkin meshes for linear convection-diffusion problems
    • T. Linß and M. Stynes, Numerical methods on Shishkin meshes for linear convection-diffusion problems, Comput. Methods Appl. Mech. Engrg. 190 (2001) 3527-3542.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 3527-3542
    • Linß, T.1    Stynes, M.2
  • 12
    • 0034436597 scopus 로고    scopus 로고
    • Uniform pointwise convergence on Shishkin-type meshes for quasilinear convection-diffusion problems
    • T. Linß, H.-G. Roos and R. Vulanović, Uniform pointwise convergence on Shishkin-type meshes for quasilinear convection-diffusion problems, SIAM J. Numer. Anal. 38 (2000) 897-912.
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 897-912
    • Linß, T.1    Roos, H.-G.2    Vulanović, R.3
  • 14
    • 0042091342 scopus 로고    scopus 로고
    • The ε-uniform convergence of the discrete derivatives for singularly perturbed problems
    • Wendgräben
    • E. O'Riordan and G.I. Shishkin, The ε-uniform convergence of the discrete derivatives for singularly perturbed problems, Lecture presented at the Conference EPSICODE '99, Wendgräben (1999).
    • (1999) Lecture Presented at the Conference EPSICODE '99
    • O'Riordan, E.1    Shishkin, G.I.2
  • 15
    • 0344718020 scopus 로고    scopus 로고
    • Sufficient conditions for uniform convergence on layer adapted grids
    • H.-G. Roos and T. Linß, Sufficient conditions for uniform convergence on layer adapted grids, Computing 63 (1999) 27-45.
    • (1999) Computing , vol.63 , pp. 27-45
    • Roos, H.-G.1    Linß, T.2
  • 18
    • 85031521948 scopus 로고    scopus 로고
    • A priori meshes for singularly perturbed quasilinear two-point boundary value problems
    • to appear
    • R. Vulanović, A priori meshes for singularly perturbed quasilinear two-point boundary value problems, IMA J. Numer. Anal., to appear.
    • IMA J. Numer. Anal.
    • Vulanović, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.