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The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain
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- Asadzadeh, Mohammad, 1952 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematik,Department of Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- Kumlin, Peter Jan Anders, 1952 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematik,Department of Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- Larsson, Stig, 1952 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematik,Department of Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
- (creator_code:org_t)
- 1992
- 1992
- English.
- In: Mathematical Models and Methods in Applied Science. ; 2:3, s. 317-338
- Journal article (peer-reviewed)
Abstract
Subject headings
Close
- We prove a regularity result for a Fredholm integral equation with weakly singular kernel, arising in connection with the neutron transport equation in an infinite cylindrical domain. The theorem states that the solution has almost two derivatives in L1, and is proved using Besov space techniques. This result is applied in the error analysis of the discrete ordinates method for the numerical solution of the neutron transport equation. We derive an error estimate in the L1-norm for the scalar flux, and as a consequence, we obtain an error bound for the critical eigenvalue.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Discrete Ordinates
- Neutron transport
- Quardature rule
- Besov spaces
- Sobolev spaces
- Superconvergence
- Neutron transport
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- ref (subject category)
- art (subject category)
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