DISCONTINUOUS FINITE ELEMENTS FOR A HYPERBOLIC PROBLEM WITH SINGULAR COEFFICIENT: A CONVERGENCE THEORY FOR ONE-DIMENSIONAL SPHERICAL TRANSPORT

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 num...

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