Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
500626 | Computer Methods in Applied Mechanics and Engineering | 2006 | 23 Pages |
Abstract
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. With the angular flux decomposed into even- and odd-angular parity components, mixed-hybrid methods are developed that combine the advantages of mixed (simultaneous approximation of even- and odd-parity fluxes) and hybrid (use of Lagrange multipliers to enforce interface regularity conditions) methods. An existence and uniqueness theorem is proved for the resulting problems. Beside the well-known primal/dual distinction induced by the spatial variable, the angular variable leads to an even/odd distinction for the spherical harmonic expansion order.
Related Topics
Physical Sciences and Engineering
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Computer Science Applications
Authors
S. Van Criekingen, R. Beauwens, J.W. Jerome, E.E. Lewis,