Convergence of a discontinuous Galerkin scheme for the neutron transport.
Artikel i vetenskaplig tidskrift, 2001
We study the spatial
discretization 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, and regularizing properties of the solution
operator, we derive an {\sl optimal} error estimate in $L_2-$norm for the
scalar flux. This result, combined with a duality argument and
previously known semidiscrete error estimates for the velocity
discretizations, gives {\sl globally optimal} error bounds for the critical
eigenvalue.
Superconvergence
Spatial discretization
Discontinuous Galerkin
Neutron transport