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Volumn 148, Issue 3, 2004, Pages 869-880

A finite element analysis of a coupled system of singularly perturbed reaction-diffusion equations

Author keywords

Reaction diffusion; Shishkin mesh; Singular perturbation; Solution decomposition

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFUSION; FINITE ELEMENT METHOD; PERTURBATION TECHNIQUES;

EID: 0242606945     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00955-4     Document Type: Article
Times cited : (43)

References (11)
  • 1
    • 0001238824 scopus 로고
    • Towards optimization of methods for solving boundary value problems in the presence of boundary layers
    • in Russian
    • 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. (in Russian).
    • (1969) Zh. Vychisl. Mat. i Mat. Fiz. , vol.9 , pp. 841-859
    • Bakhvalov, N.S.1
  • 2
    • 0012316589 scopus 로고
    • Good approximation by splines with variable knots
    • A. Meir, A. Sharma (Eds.), Univ. Alberta, Edmonton, Birkhäuser, Basel and Stuttgart
    • C. de Boor, Good approximation by splines with variable knots, in: A. Meir, A. Sharma (Eds.), Spline Functions Approx. Theory, Proc. Sympos. Univ. Alberta, Edmonton 1972, Birkhäuser, Basel and Stuttgart, 1973, pp. 57-72.
    • (1972) Spline Functions Approx. Theory, Proc. Sympos. , pp. 57-72
    • De Boor, C.1
  • 3
    • 4243906064 scopus 로고    scopus 로고
    • The necessity of Shishkin-decompositions
    • Linß T. The necessity of Shishkin-decompositions. Appl. Math. Lett. 14:2001;891-896.
    • (2001) Appl. Math. Lett. , vol.14 , pp. 891-896
    • Linß, T.1
  • 4
    • 0343897889 scopus 로고    scopus 로고
    • Sufficient conditions for uniform convergence on layer-adapted grids
    • Linß T. Sufficient conditions for uniform convergence on layer-adapted grids. Appl. Numer. Anal. 37(1-2):2001;241-255.
    • (2001) Appl. Numer. Anal. , vol.37 , Issue.1-2 , pp. 241-255
    • Linß, T.1
  • 8
    • 0036682193 scopus 로고    scopus 로고
    • A numerical method for a system of singularly perturbed reaction-diffusion equations
    • Matthews S., O'Riordan E., Shishkin G.I. A numerical method for a system of singularly perturbed reaction-diffusion equations. J. Comput. Appl. Math. 145:2002;151-166.
    • (2002) J. Comput. Appl. Math. , vol.145 , pp. 151-166
    • Matthews, S.1    O'riordan, E.2    Shishkin, G.I.3
  • 11
    • 0009838242 scopus 로고
    • Mesh approximation of singularly perturbed boundary-value problems for systems of elliptic and parabolic equations
    • Shishkin G.I. Mesh approximation of singularly perturbed boundary-value problems for systems of elliptic and parabolic equations. Comput. Math. Math. Phys. 35(4):1995;429-446.
    • (1995) Comput. Math. Math. Phys. , vol.35 , Issue.4 , pp. 429-446
    • Shishkin, G.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.