Low-Memory, Discrete Ordinates, Discontinuous Galerkin Methods for Radiative Transport
DOI10.1137/19M1271956zbMath1452.65360arXiv1907.01027OpenAlexW3039541774MaRDI QIDQ5132049
Publication date: 9 November 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.01027
Computational methods for sparse matrices (65F50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Radiative transfer in astronomy and astrophysics (85A25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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Cites Work
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- A robust \(S_{N}\)-DG-approximation for radiation transport in optically thick and diffusive regimes
- Computational methods in transport. Granlibakken 2004. Selected papers of a workshop, Granlibakken, CA, USA, September 11--16, 2004.
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
- Boundary layers and homogenization of transport processes
- Boundary value problems for transport equations
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Local discontinuous Galerkin methods for partial differential equations with higher order derivatives
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
- Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
- Geometric correction for diffusive expansion of steady neutron transport equation
- A MIXED VARIATIONAL FRAMEWORK FOR THE RADIATIVE TRANSFER EQUATION
- Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit
- Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
- On Locking and Robustness in the Finite Element Method
- Uniform asymptotic expansions in transport theory with small mean free paths, and the diffusion approximation
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
- Diffusion Approximation and Computation of the Critical Size
- Positive and Asymptotic Preserving Approximation of the Radiation Transport Equation
- Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation
- Discontinuous Galerkin for the Radiative Transport Equation
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