A finite element method for the neutron transport equation in an infinite cylindrical domain
Artikel i vetenskaplig tidskrift, 1998

We study the spatial discretization, in a fully discrete scheme, for the numerical solution of a model problem for the neutron transport equation in an infinite cylindrical domain. Based on using an interpolation technique in the discontinuous Galerkin finite element procedure, we derive an almost optimal error estimate for the scalar flux in the L2-norm. Combining a duality argument applied to the above result together with the previous semidiscrete error estimates for the velocity discretizations, we also obtain globally optimal error bounds for the critical eigenvalues.

scalar flux

neutron transport equation

duality algorithm

critical eigenvalue

Besov spaces

spatial discretization

interpolation spaces

convergence rate

finite element

Författare

Mohammad Asadzadeh

Göteborgs universitet

Institutionen för matematik

SIAM Journal on Numerical Analysis

Vol. 35 4 1299-1314

Ämneskategorier

Beräkningsmatematik