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- Asadzadeh, Mohammad, 1952
(författare)
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Analysis of a fully discrete scheme for neutron transport in two-dimensional geometry.
- 1986
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Ingår i: SIAM Journal on Numerical Analysis. ; 23:3, s. 543-561
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Tidskriftsartikel (refereegranskat)abstract
- We derive error estimates for a fully discrete scheme for the numerical solution of the neutron transport equation in two-dimensional Cartesian geometry obtained by using a special quadrature rule for the angular variable and the discontinuous Galerkin finite element method with piecewise linear trial function for the space variable
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- Asadzadeh, Mohammad, 1952
(författare)
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$L_p$ and eigenvalue error estimates for the discrete ordinates method for two-dimensional neutron transport
- 1989
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Ingår i: SIAM Journal on Numerical Analysis. ; 26:1, s. 66-87
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Tidskriftsartikel (refereegranskat)abstract
- The convergence of the discrete ordinates method is studied for angular discretization of the neutron transport equation for a two-dimensional model problem with the constant total cross section and isotropic scattering. Considering a symmetric set of quadrature points on the unit circle, error estimates are derived for the scalar flux in $L_P $ norms for $1 \leqq p \leqq \infty $. A postprocessing procedure giving improved $L_\infty $ estimates is also analyzed. Finally error estimates are given for simple isolated eigenvalues of the solution operator.
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