The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain
Journal article, 1992

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.

Neutron transport

Discrete Ordinates

Besov spaces

Sobolev spaces

Quardature rule

Superconvergence

Author

Mohammad Asadzadeh

University of Gothenburg

Department of Mathematics

Peter Jan Anders Kumlin

University of Gothenburg

Department of Mathematics

Stig Larsson

Department of Mathematics

University of Gothenburg

Mathematical Models and Methods in Applied Science

Vol. 2 3 317-338

Subject Categories

Computational Mathematics

More information

Created

10/7/2017