most citedNew Asymptotic Preserving, Hybrid Discontinuous Galerkin Methods the Radiation Transport Equation with Isotropic Scattering and Diffusive Scaling

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.NA2024★ 1 cited

New Asymptotic Preserving, Hybrid Discontinuous Galerkin Methods the Radiation Transport Equation with Isotropic Scattering and Diffusive Scaling

Cory D. Hauck, Qiwei Sheng, Yulong Xing

Discontinuous Galerkin (DG) methods are widely adopted to discretize the radiation transport equation (RTE) with diffusive scalings. One of the most important advantages of the DG…

math.NA2023

Numerical analysis of a spherical harmonic discontinuous Galerkin method for scaled radiative transfer equations with isotropic scattering

Qiwei Sheng, Cory Hauck, Yulong Xing

In highly diffusion regimes when the mean free path tends to zero, the radiative transfer equation has an asymptotic behavior which is governed by a diffusion equatio…