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Volumn 35, Issue 4, 1998, Pages 1299-1314

A finite element method for the neutron transport equation in an infinite cylindrical domain

Author keywords

Besov spaces; Convergence rate; Critical eigenvalue; Duality algorithm; Finite element; Interpolation spaces; Neutron transport equation; Scalar flux; Spatial discretization

Indexed keywords


EID: 0346964349     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142992238119     Document Type: Article
Times cited : (21)

References (12)
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    • 0022736826 scopus 로고
    • Analysis of a fully discrete scheme for neutron transport in two-dimensional geometry
    • M. ASADZADEH, Analysis of a fully discrete scheme for neutron transport in two-dimensional geometry, SIAM J. Numer. Anal., 23 (1986), pp. 543-561.
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    • Asadzadeh, M.1
  • 2
    • 0346828408 scopus 로고
    • p and eigenvalue error estimates for two-dimensional neutron transport
    • p and eigenvalue error estimates for two-dimensional neutron transport, SIAM J. Numer. Anal., 26 (1989), pp. 66-87.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 66-87
    • Asadzadeh, M.1
  • 3
    • 0346197857 scopus 로고
    • 2-error estimates for the discrete ordinates method for three-dimensional neutron transport
    • 2-error estimates for the discrete ordinates method for three-dimensional neutron transport, Transport Theory Statist. Phys., 17 (1988), pp. 1-24.
    • (1988) Transport Theory Statist. Phys. , vol.17 , pp. 1-24
    • Asadzadeh, M.1
  • 4
    • 0346197849 scopus 로고
    • 1-error bounds for the neutron transport equation in an infinite cylindrical domain
    • 1-error bounds for the neutron transport equation in an infinite cylindrical domain, Math. Models Methods Appl. Sci., 2 (1992), pp. 317-338.
    • (1992) Math. Models Methods Appl. Sci. , vol.2 , pp. 317-338
    • Asadzadeh, M.1    Kumlin, P.2    Larsson, S.3
  • 6
    • 0007047721 scopus 로고
    • Weakly singular integral equations with operator-valued kernels and an application to radiation transfer problem
    • E. HENNEBACH, P. JUNGHANNA, AND G. VAINIKKO, Weakly singular integral equations with operator-valued kernels and an application to radiation transfer problem, Integral Equations Operator Theory, 22 (1995), pp. 37-64.
    • (1995) Integral Equations Operator Theory , vol.22 , pp. 37-64
    • Hennebach, E.1    Junghanna, P.2    Vainikko, G.3
  • 7
    • 84966238599 scopus 로고
    • An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation
    • C. JOHNSON AND J. PITKÄRANTA, An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation, Math. Comp., 46 (1986), pp. 1-26.
    • (1986) Math. Comp. , vol.46 , pp. 1-26
    • Johnson, C.1    Pitkäranta, J.2
  • 8
    • 0012187269 scopus 로고
    • Convergence of a fully discrete scheme for two-dimensional neutron transport
    • C. JOHNSON AND J. PITKÄRANTA, Convergence of a fully discrete scheme for two-dimensional neutron transport, SIAM J. Numer. Anal., 20 (1983), pp. 951-966.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 951-966
    • Johnson, C.1    Pitkäranta, J.2
  • 9
    • 0009238412 scopus 로고
    • Estimates for the derivatives of solutions to weakly singular Fredholm integral equations
    • J. PITKÄRANTA, Estimates for the derivatives of solutions to weakly singular Fredholm integral equations, SIAM J. Math. Anal., 11 (1980), pp. 952-968.
    • (1980) SIAM J. Math. Anal. , vol.11 , pp. 952-968
    • Pitkäranta, J.1
  • 10
    • 0000308997 scopus 로고
    • Error estimates for the combined spatial and angular approximations of the transport equation in slab geometry
    • J. PITKÄRANTA AND L. R. SCOTT, Error estimates for the combined spatial and angular approximations of the transport equation in slab geometry, SIAM J. Numer. Anal., 20 (1983), pp. 922-950.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 922-950
    • Pitkäranta, J.1    Scott, L.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.