A reduced basis method for radiative transfer equation
DOI10.1007/s10915-022-01782-2zbMath1493.65162arXiv2103.07574OpenAlexW4213165123MaRDI QIDQ2113644
Zhichao Peng, Yingda Cheng, Yanlai Chen, Fengyan Li
Publication date: 14 March 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.07574
Numerical optimization and variational techniques (65K10) Integro-partial differential equations (45K05) 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) Nuclear reactor theory; neutron transport (82D75) Integro-partial differential equations (35R09) Transport equations (35Q49)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical schemes for kinetic equations in diffusive regimes
- Parametric analytical preconditioning and its applications to the reduced collocation methods
- A POD reduced order model for resolving angular direction in neutron/photon transport problems
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
- A posteriori error control in radiative transfer
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
- A low-rank method for two-dimensional time-dependent radiation transport calculations
- Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems
- A robust error estimator and a residual-free error indicator for reduced basis methods
- Decay of the Kolmogorov \(N\)-width for wave problems
- Certified offline-free reduced basis (COFRB) methods for stochastic differential equations driven by arbitrary types of noise
- Certified reduced basis approximation for parametrized partial differential equations and applications
- Interpolation of Inverse Operators for Preconditioning Parameter-Dependent Equations
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit
- Convergence Rates for Greedy Algorithms in Reduced Basis Methods
- Optical tomography: forward and inverse problems
- Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
- Multi Space Reduced Basis Preconditioners for Large-Scale Parametrized PDEs
- Diffusion Approximation and Computation of the Critical Size
- Random Sampling and Efficient Algorithms for Multiscale PDEs
- Reduced Basis Methods for Partial Differential Equations
This page was built for publication: A reduced basis method for radiative transfer equation
