High-Order Mixed Finite Element Discretization for the Variable Eddington Factor Equations

Samuel Olivier, University of California, Berkeley

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This paper presents a multi-dimensional, high-order, mixed finite element discretization for the variable Eddington factor equations coupled to an upwind discontinuous Galerkin discrete ordinates discretization. The resulting acceleration scheme is shown to maintain the order of accuracy of the discrete ordinates discretization in isolation, accelerate source iteration and preserve the thick diffusion limit.

Abstract Author(s): Samuel S. Olivier