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• W2958705178 abstract "We consider the numerical approximation of the radiative transfer equation using discontinuous angular and continuous spatial approximations for the even parts of the solution. The even-parity equations are solved using a diffusion synthetic accelerated source iteration. We provide a convergence analysis for the infinite-dimensional iteration as well as for its discretized counterpart. The diffusion correction is computed by a subspace correction, which leads to a convergence behavior that is robust with respect to the discretization. The proven theoretical contraction rate deteriorates for scattering dominated problems. We show numerically that the preconditioned iteration is in practice robust in the diffusion limit. Moreover, computations for the lattice problem indicate that the presented discretization does not suffer from the ray effect. The theoretical methodology is presented for plane-parallel geometries with isotropic scattering, but the approach and proofs generalize to multi-dimensional problems and more general scattering operators verbatim." @default.
• W2958705178 created "2019-07-23" @default.
• W2958705178 creator A5066390919 @default.
• W2958705178 creator A5079959353 @default.
• W2958705178 date "2019-07-17" @default.
• W2958705178 modified "2023-09-27" @default.
• W2958705178 title "On a convergent DSA preconditioned source iteration for a DGFEM method for radiative transfer" @default.
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• W2958705178 hasPublicationYear "2019" @default.
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