A spherical harmonic discontinuous Galerkin method for radiative transfer equations with vacuum boundary conditions
DOI10.1007/s10915-021-01530-yzbMath1477.65244OpenAlexW3164170152MaRDI QIDQ2037329
Publication date: 30 June 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01530-y
discontinuous Galerkin methoderror estimateradiative transfer equationperfectly matched layersspherical harmonic expansion
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Perturbations in context of PDEs (35B20) Radiative transfer in astronomy and astrophysics (85A25) First-order hyperbolic systems (35L40) Radiative heat transfer (80A21)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of filtered spherical harmonic equations for radiation transport
- A weakly penalized discontinuous Galerkin method for radiation in dense, scattering media
- Diffusion approximations and domain decomposition method of linear transport equations: asymptotics and numerics
- On the eigenstructure of spherical harmonic equations for radiative transport
- Spherical harmonics and approximations on the unit sphere. An introduction
- Boundary value problems for transport equations
- A perfectly matched layer for the absorption of electromagnetic waves
- A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations
- Theory and practice of finite elements.
- A pseudospectral method for solution of the radiative transport equation
- Time-dependent simplified \(P_{N}\) approximation to the equations of radiative transfer
- Spherical harmonics
- Two-dimensional time dependent Riemann solvers for neutron transport
- Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
- An Introduction to Radiative Transfer
- Positive Filtered P$_N$ Moment Closures for Linear Kinetic Equations
- A MIXED VARIATIONAL FRAMEWORK FOR THE RADIATIVE TRANSFER EQUATION
- Diffusion asymptotics for linear transport with low regularity
- Spectral Methods
- Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
- Theoretical Numerical Analysis
- Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes
- A Fast-Forward Solver of Radiative Transfer Equation
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Discontinuous Galerkin methods
- Radiative Transfer in the Atmosphere and Ocean
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- Analysis of a numerical solver for radiative transport equation
- A Boundary Functional for the Least-Squares Finite- Element Solution of Neutron Transport Problems
- A Perfectly Matched Layer Approach for $P_N$-Approximations in Radiative Transfer
- A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation
- AnLptheory for stationary radiative transfer
- The Mathematical Theory of Finite Element Methods
- Numerical analysis of the energy-dependent radiative transfer equation
This page was built for publication: A spherical harmonic discontinuous Galerkin method for radiative transfer equations with vacuum boundary conditions