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Volumn 214, Issue 1, 1997, Pages 36-54

A uniformly convergent Galerkin method on a shishkin mesh for a convection-diffusion problem

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; PERTURBATION TECHNIQUES; PIECEWISE LINEAR TECHNIQUES; POLYNOMIALS;

EID: 0031240201     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5581     Document Type: Article
Times cited : (122)

References (14)
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    • Andreev W. B., Kopteva N. W. On the investigation of difference schemes with a central approximation of the first order derivative. Zh. Vychisl. Mat. i Mat. Fiz. 36:1996;101-117.
    • (1996) Zh. Vychisl. Mat. i Mat. Fiz. , vol.36 , pp. 101-117
    • Andreev, W.B.1    Kopteva, N.W.2
  • 2
    • 0001238824 scopus 로고
    • Towards optimization of methods for solving boundary value problems in the presence of boundary layers
    • Bakhvalov N. S. Towards optimization of methods for solving boundary value problems in the presence of boundary layers. Zh. Vychisl. Mat. i Mat. Fiz. 9:1969;841-859.
    • (1969) Zh. Vychisl. Mat. i Mat. Fiz. , vol.9 , pp. 841-859
    • Bakhvalov, N.S.1
  • 5
    • 0002646484 scopus 로고
    • A uniformly convergent difference scheme for an elliptic singular perturbation problem
    • L. Tobiska 55, Technical University "Otto von Guericke" Magdeburg, G.D.R.
    • E. O'Riordan, M. Stynes, 1989, A uniformly convergent difference scheme for an elliptic singular perturbation problem, Proc. Conf. on Discretization Methods in Singular Perturbations and Flow Problems, L. Tobiska, 48, 55, Technical University "Otto von Guericke" Magdeburg, G.D.R.
    • (1989) Proc. Conf. on Discretization Methods in Singular Perturbations and Flow Problems , pp. 48
    • O'Riordan, E.1    Stynes, M.2
  • 6
    • 84966240353 scopus 로고
    • A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions
    • O'Riordan E., Stynes M. A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions. Math. Comp. 57:1991;47-62.
    • (1991) Math. Comp. , vol.57 , pp. 47-62
    • O'Riordan, E.1    Stynes, M.2
  • 7
    • 0022113220 scopus 로고
    • Necessary convergence conditions for upwind schemes in the two-dimensional case
    • Roos H.-G. Necessary convergence conditions for upwind schemes in the two-dimensional case. Internat. J. Numer. Methods Engrg. 21:1985;1459-1469.
    • (1985) Internat. J. Numer. Methods Engrg. , vol.21 , pp. 1459-1469
    • Roos, H.-G.1
  • 9
    • 0030213109 scopus 로고    scopus 로고
    • A novel uniformly convergent finite element method in two dimensions
    • Roos H.-G., Adam D., Felgenhauer A. A novel uniformly convergent finite element method in two dimensions. J. Math. Anal. Appl. 201:1996;711-755.
    • (1996) J. Math. Anal. Appl. , vol.201 , pp. 711-755
    • Roos, H.-G.1    Adam, D.2    Felgenhauer, A.3
  • 12
    • 21844506775 scopus 로고
    • Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. II. Convection-diffusion-type problems
    • Sun G., Stynes M. Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. II. Convection-diffusion-type problems. IMA J. Numer. Anal. 15:1995;197-219.
    • (1995) IMA J. Numer. Anal. , vol.15 , pp. 197-219
    • Sun, G.1    Stynes, M.2
  • 13
    • 0003274014 scopus 로고
    • Non-equidistant finite difference methods for elliptic singular perturbation problems
    • J.J.H. Miller. Dublin: Boole
    • Vulanović R. Non-equidistant finite difference methods for elliptic singular perturbation problems. Miller J. J. H. Computational Methods for Boundary and Interior Layers in Several Dimensions. 1991;203-223 Boole, Dublin.
    • (1991) Computational Methods for Boundary and Interior Layers in Several Dimensions , pp. 203-223
    • Vulanović, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.