Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation
Discontinuous Galerkin finite element methods are used to estimate solutions to the non-scattering I-D spherical neutron transport equation. Various trial and test spaces are compared in the context of a few sample problems whose exact solution is known. Certain trial spaces avoid unphysical behaviors that seem to plague other methods. Comparisons with diamond differencing and simple corner-balancing are presented to highlight these improvements. (c) 2006 Elsevier Inc. All rights reserved.
finite elements neutron transport linear hyperbolic equation corner balance method diamond difference method discontinuous galerkin methods spherical geometry sn equations