A discrete-ordinate weak Galerkin method for radiative transfer equation
DOI10.1016/J.APNUM.2024.02.009zbMATH Open1542.65116MaRDI QIDQ6549577
Publication date: 4 June 2024
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
error analysisradiative transfer equationweak Galerkin methodstability resultsdiscrete-ordinate method
Integro-partial differential equations (45K05) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Radiative transfer in astronomy and astrophysics (85A25) Integro-partial differential equations (35R09) First-order hyperbolic equations (35L02)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Radiative heat transfer in turbulent combustion systems. Theory and applications
- A modified implicit Monte Carlo method for time-dependent radiative transfer with adaptive material coupling
- Efficient, automated Monte Carlo methods for radiation transport
- Weak Galerkin method for the Biot's consolidation model
- A spherical harmonic discontinuous Galerkin method for radiative transfer equations with vacuum boundary conditions
- A reduced basis method for radiative transfer equation
- A low-rank method for two-dimensional time-dependent radiation transport calculations
- An explicit weak Galerkin method for solving the first order hyperbolic systems
- Modified weak Galerkin method with weakly imposed boundary condition for convection-dominated diffusion equations
- Cubature over the sphere \(S^{2}\) in Sobolev spaces of arbitrary order
- A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods
- A modified weak Galerkin finite element method
- A MIXED VARIATIONAL FRAMEWORK FOR THE RADIATIVE TRANSFER EQUATION
- A Robust Multigrid Preconditioner for $S_N$DG Approximation of Monochromatic, Isotropic Radiation Transport Problems
- A class of Galerkin Schemes for Time-Dependent Radiative Transfer
- Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
- A weak Galerkin mixed finite element method for second order elliptic problems
- Weak Galerkin Finite Element Methods on Polytopal Meshes
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS
- A weak Galerkin finite element scheme for the Cahn-Hilliard equation
- An Introduction to Numerical Analysis
- Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering
- Numerical Methods for Multidimensional Radiative Transfer
- A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation
- A Perfectly Matched Layer Approach for $P_N$-Approximations in Radiative Transfer
- A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation
- The Mathematical Theory of Finite Element Methods
- A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems
- Implicit Monte Carlo diffusion -- an acceleration method for Monte Carlo time-dependent radiative transfer simulations
- The Allen-Cahn equation with a time Caputo-Hadamard derivative: mathematical and numerical analysis
- Optimal time two-mesh mixed finite element method for a nonlinear fractional hyperbolic wave model
This page was built for publication: A discrete-ordinate weak Galerkin method for radiative transfer equation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6549577)