Asymptotic Preserving IMEX-DG-S Schemes for Linear Kinetic Transport Equations Based on Schur Complement

DOI10.1137/20M134486XzbMath1484.65232arXiv2006.07497OpenAlexW3147062930MaRDI QIDQ4997363

Fengyan Li, Zhichao Peng

Publication date: 29 June 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07497

zbMATH Keywords

numerical stabilitydiscontinuous Galerkinasymptotic preservingmicro-macro decompositionimplicit-explicit Runge-Kuttakinetic transport equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Related Items (4)

Hyperbolic balance laws: modeling, analysis, and numerics. Abstracts from the workshop held February 28 -- March 6, 2021 (hybrid meeting) ⋮ High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations ⋮ Asymptotic Preserving and Uniformly Unconditionally Stable Finite Difference Schemes for Kinetic Transport Equations ⋮ High order positivity-preserving nodal discontinuous Galerkin methods for anisotropic diffusion problems

Uses Software

• PETSc

Cites Work

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