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Volumn 20, Issue 2, 2000, Pages 263-280

An alternating direction scheme on a nonuniform mesh for reaction-diffusion parabolic problems

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION IN LIQUIDS; MESH GENERATION;

EID: 0034382893     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/20.2.263     Document Type: Article
Times cited : (63)

References (14)
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    • (J. J. H. Miller, ed). Dublin: Boole
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    • (1993) Applications of Advanced Computational Methods for Boundary and Interior Layers , pp. 33-52
    • Clavero, C.1    Jorge, J.C.2    Lisbona, F.3
  • 3
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    • An accurate numerical solution of a two dimensional heat transfer problem with a parabolic boundary layer
    • CLAVERO, C., MILLER, J. J. H., O'RIORDAN, E., & SHISHKIN, G. I. 1998 An accurate numerical solution of a two dimensional heat transfer problem with a parabolic boundary layer. J. Comput. Math. 16, 27-39.
    • (1998) J. Comput. Math. , vol.16 , pp. 27-39
    • Clavero, C.1    Miller, J.J.H.2    O'Riordan, E.3    Shishkin, G.I.4
  • 4
    • 0002914774 scopus 로고    scopus 로고
    • Discrete approximations for singularly perturbed boundary value problems with parabolic layers. I
    • FARRELL, P. A., HEMKER, P. W., & SHISHKIN, G. I. 1996a Discrete approximations for singularly perturbed boundary value problems with parabolic layers. I. J. Comput. Math. 14, 71-97.
    • (1996) J. Comput. Math. , vol.14 , pp. 71-97
    • Farrell, P.A.1    Hemker, P.W.2    Shishkin, G.I.3
  • 5
    • 0000392267 scopus 로고    scopus 로고
    • Discrete approximations for singularly perturbed boundary value problems with parabolic layers. II
    • FARRELL, P. A., HEMKER, P .W., & SHISHKIN, G. I. 1996b Discrete approximations for singularly perturbed boundary value problems with parabolic layers. II. J. Comput. Math. 14, 183-194.
    • (1996) J. Comput. Math. , vol.14 , pp. 183-194
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  • 6
    • 0000517998 scopus 로고    scopus 로고
    • Discrete approximations for singularly perturbed boundary value problems with parabolic layers. III
    • FARRELL, P. A., HEMKER, P. W., & SHISHKIN, G. 1. 1996c Discrete approximations for singularly perturbed boundary value problems with parabolic layers. III. J. Comput. Math. 14, 273-290.
    • (1996) J. Comput. Math. , vol.14 , pp. 273-290
    • Farrell, P.A.1    Hemker, P.W.2    Shishkin, G.I.3
  • 7
    • 0002694978 scopus 로고
    • Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers
    • HEGARTY, A. F., MILLER, J. J. H., O'RIORDAN, E., & SHISHKIN, G. I. 1995 Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers. J. Comput. Phys. 117, 47-54.
    • (1995) J. Comput. Phys. , vol.117 , pp. 47-54
    • Hegarty, A.F.1    Miller, J.J.H.2    O'Riordan, E.3    Shishkin, G.I.4
  • 8
    • 0002240887 scopus 로고    scopus 로고
    • The use of defect correction for the solution of parabolic singular perturbation problems
    • HEMKER, P. W., SHISHKIN, G. I., & SHISHKINA, L. P. 1997 The use of defect correction for the solution of parabolic singular perturbation problems. ZAMM 1, 59-74.
    • (1997) ZAMM , vol.1 , pp. 59-74
    • Hemker, P.W.1    Shishkin, G.I.2    Shishkina, L.P.3
  • 9
    • 0001970309 scopus 로고
    • Contractivity results for alternating direction schemes in hilbert spaces
    • JORGE, J. C. & LISBONA, F. 1994 Contractivity results for alternating direction schemes in Hilbert spaces. Appl. Numer. Math. 15, 65-75.
    • (1994) Appl. Numer. Math. , vol.15 , pp. 65-75
    • Jorge, J.C.1    Lisbona, F.2
  • 11
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    • Grid approximation of singularly perturbed boundary value problems with convective terms
    • SHISHKIN, G. I. 1990 Grid approximation of singularly perturbed boundary value problems with convective terms. Sov. J. Numer. Anal. Math. Modelling 5, 173-187.
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    • Shishkin, G.I.1
  • 13
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    • Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: Reaction-diffusion-type problems
    • SUN, G. & STYNES, M. 1995a Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: reaction-diffusion-type problems. IMA J. Numer. Anal. 15, 117-139.
    • (1995) IMA J. Numer. Anal. , vol.15 , pp. 117-139
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    • Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. II: Convection-diffusion-type problems
    • SUN, G. & STYNES, M. 1995b Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. II: convection-diffusion-type problems. IMA J. Numer. Anal. 15, 197-219.
    • (1995) IMA J. Numer. Anal. , vol.15 , pp. 197-219
    • Sun, G.1    Stynes, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.