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On discontinuous Ga...
On discontinuous Galerkin and discrete ordinates approximations for neutron transport equation and the critical eigenvalue.
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- Asadzadeh, Mohammad, 1952 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- Thevenot, L. (author)
- Université de Franche-Comté,University of Franche-Comté
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(creator_code:org_t)
- 2010
- 2010
- English.
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In: Nuovo Cimento della Societa Italiana di Fisica C. - 1124-1896. ; 33:1, s. 21-29
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Abstract
Subject headings
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- The objective of this paper is to give a mathematical framework for a fully discrete numerical approach for the study of the neutron transport equation in a cylindrical domain (container model,). More specifically, we consider the discontinuous Galerkin (DG) finite element method for spatial approximation of the mono-energetic, critical neutron transport equation in an infinite cylindrical domain ω̃in R3 with a polygonal convex cross-section ω The velocity discretization relies on a special quadrature rule developed to give optimal estimates in discrete ordinate parameters compatible with the quasi-uniform spatial mesh. We use interpolation spaces and derive optimal error estimates, up to maximal available regularity, for the fully discrete scalar flux. Finally we employ a duality argument and prove superconvergence estimates for the critical eigenvalue.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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