Adaptive automated solution of the multi-group diffusion equations
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This paper presents fully automated hp-refinement strategies applied to multigroup diffusion equations. Exponential convergence rates are achieved for a fraction of the number of unknowns needed with uniform refinement and h-refinement strategies. Innovative results include (i) the treatment of adaptivity in the context of the multigroup equations, and, (ii) the definition of a mesh adaptation strategy in the context of eigenvalue outer iterations and thermal iterations.
