Asymptotic preserving semi-Lagrangian discontinuous Galerkin methods for multiscale kinetic transport equations
DOI10.1016/J.JCP.2024.113190MaRDI QIDQ6572195
Guo-liang Zhang, Tao Xiong, Yi Cai, Hongqiang Zhu
Publication date: 15 July 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
parallel computingdiscontinuous Galerkinsemi-Lagrangianasymptotic preservingdiffusive scalingkinetic transport equation
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Numerical schemes for kinetic equations in diffusive regimes
- On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models
- A new spherical harmonics scheme for multi-dimensional radiation transport. I: Static matter configurations
- High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling
- An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations
- Robust and accurate filtered spherical harmonics expansions for radiative transfer
- Semilagrangian schemes applied to moving boundary problemsfor the BGK model of rarefied gas dynamics
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
- Transport equations for elastic and other waves in random media
- Parallel, adaptive finite element methods for conservation laws
- A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional transport simulations
- Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
- An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation
- Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling
- Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling
- A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
- High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations
- Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems
- Convergence of a semi-Lagrangian scheme for the BGK model of the Boltzmann equation
- A Comparison of Moment Closures for Linear Kinetic Transport Equations: The Line Source Benchmark
- Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling
- Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods
- Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit
- Exponential Runge–Kutta Methods for Stiff Kinetic Equations
- Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation
- Quadratures on a sphere
- Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
- Numerical Methods for Hyperbolic Conservation Laws With Stiff Relaxation I. Spurious Solutions
- An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
- An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems
- Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
- Uniform Stability of a Finite Difference Scheme for Transport Equations in Diffusive Regimes
- Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
- Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property
- An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws
- Asymptotic Preserving IMEX-DG-S Schemes for Linear Kinetic Transport Equations Based on Schur Complement
- An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems
- Benchmarks for Infinite Medium, Time Dependent Transport Problems with Isotropic Scattering
- A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
- A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations
- StaRMAP---A Second Order Staggered Grid Method for Spherical Harmonics Moment Equations of Radiative Transfer
- hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
- Asymptotic-preserving schemes for multiscale physical problems
- Asymptotic Preserving and Uniformly Unconditionally Stable Finite Difference Schemes for Kinetic Transport Equations
- An efficient asymptotic preserving Monte Carlo method for radiative transfer equations
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