Deterministic radiative transfer equation solver on unstructured tetrahedral meshes: efficient assembly and preconditioning
From MaRDI portal
Publication:2124330
DOI10.1016/j.jcp.2021.110313OpenAlexW3149576638MaRDI QIDQ2124330
Publication date: 8 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110313
Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Numerical methods for integral equations, integral transforms (65Rxx)
Related Items (3)
Reflective conditions for radiative transfer in integral form with H-matrices ⋮ Radiative transfer for variable three-dimensional atmospheres ⋮ Scalable matrix-free solver for 3D transfer of polarized radiation in stellar atmospheres
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sparse tensor spherical harmonics approximation in radiative transfer
- Solution of the equation of radiative transfer using a Newton-Krylov approach and adaptive mesh refinement
- Parallel Jacobian-free Newton Krylov solution of the discrete ordinates method with flux limiters for 3D radiative transfer
- Efficient numerical methods for radiation in gas turbines
- Spatial approximation of the radiation transport equation using a subgrid-scale finite element method
- Automated solution of differential equations by the finite element method. The FEniCS book
- Sparse adaptive finite elements for radiative transfer
- On the use of flux limiters in the discrete ordinates method for 3D radiation calculations in absorbing and scattering media
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- Specular reflection treatment for the 3D radiative transfer equation solved with the discrete ordinates method
- A scalable, matrix-free multigrid preconditioner for finite element discretizations of heterogeneous Stokes flow
- Application of linear multifrequency-grey acceleration to preconditioned Krylov iterations for thermal radiation transport
- Provably optimal parallel transport sweeps on semi-structured grids
- A Robust Multigrid Preconditioner for $S_N$DG Approximation of Monochromatic, Isotropic Radiation Transport Problems
- deal.II—A general-purpose object-oriented finite element library
- Preconditioning of Boundary Value Problems Using Elementwise Schur Complements
- Solution of Radiative Transfer Problems with Finite Elements
- A parallel adaptive finite element method for the simulation of photon migration with the radiative‐transfer‐based model
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
- A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
- Iterative Krylov Methods for Large Linear Systems
- New development in freefem++
- Diffusion Synthetic Acceleration Preconditioning for Discontinuous Galerkin Discretizations of $S_N$ Transport on High-Order Curved Meshes
- A review of algebraic multigrid
This page was built for publication: Deterministic radiative transfer equation solver on unstructured tetrahedral meshes: efficient assembly and preconditioning
