Discontinuous Finite Elements for a Hyperbolic Problem with Singular Coefficient: A Convergence Theory for One-Dimensional Spherical Transport

Authors:
Eric A. Machorro
Affiliations:
machorea@nv.doe.gov
Venue:
SIAM Journal on Numerical Analysis
Year:
2010

Citing 8
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Abstract

A theory of convergence is presented for the discontinuous Galerkin finite element method of solving the nonscattering 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.