skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Discontinuous Finite Elements for a Hyperbolic Problem with Singular Coefficient: a Convergence Theory for 1-D Spherical Neutron Transport

Journal Article · · SIAM Journal on Numerical Analysis
DOI:https://doi.org/10.1137/08073860X· OSTI ID:1033767

A theory of convergence is presented for the discontinuous Galerkin finite element method of solving the non-scattering spherically symmetric Boltzmann transport equation using piecewise constant test and trial functions. Results are then extended to higher order polynomial spaces. Comparisons of numerical properties were presented in earlier work.

Research Organization:
Nevada Test Site (NTS), Mercury, NV (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
DOE Contract Number:
DE-AC52-06NA25946
OSTI ID:
1033767
Report Number(s):
DOE/NV/25946-565; TRN: US1203728
Journal Information:
SIAM Journal on Numerical Analysis, Vol. 48, Issue 4; ISSN 0036-1429
Country of Publication:
United States
Language:
English

Similar Records

Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation
Journal Article · Tue Apr 10 00:00:00 EDT 2007 · Journal of Computational Physics · OSTI ID:1033767

Extended virtual element method for the Laplace problem with singularities and discontinuities
Journal Article · Fri Aug 02 00:00:00 EDT 2019 · Computer Methods in Applied Mechanics and Engineering · OSTI ID:1033767

A new weak Galerkin finite element method for elliptic interface problems
Journal Article · Fri Aug 26 00:00:00 EDT 2016 · Journal of Computational Physics · OSTI ID:1033767