Mixed-Hybrid Discretization Methods for the Linear Boltzmann Transport
Equation
By: Serge Van Criekingen, Robert Beauwens, Joseph W. Jerome, and
Elmer Lewis
The linear Boltzmann transport equation is discretized, using a finite
element technique for the spatial variable, and a spherical harmonic
technique for the angular variable. Based on an even- and odd- parity flux
decomposition, mixed hybrid methods combine the advantages of mixed
(approximation of even- and odd- parity fluxes) and hybrid (use of
Lagrange multipliers to enforce interface regularity conditions) methods.
Existence and uniqueness are proved for the resulting problems. Beside the
well known primal/dual distinction induced by the spatial variable, the
angular variable yields an even/odd distinction for the spherical
expansion order.
This paper has appeared: CMAME, vol. 195 (2006), 2719--2741, and
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