On a discrete framework of hypocoercivity for kinetic equations

DOI10.1090/mcom/3862arXiv2210.02107OpenAlexW4302028629MaRDI QIDQ6076241

Francis Filbet, Unnamed Author

Publication date: 23 October 2023

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.02107

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (1)

A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model

Cites Work

• A mixed finite element method for nonlinear diffusion equations
• Vlasov simulations using velocity-scaled Hermite representations
• A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling
• Residual equilibrium schemes for time dependent partial differential equations
• A finite volume scheme for boundary-driven convection-diffusion equations with relative entropy structure
• A structure preserving scheme for the Kolmogorov-Fokker-Planck equation
• Fokker-Planck multi-species equations in the adiabatic asymptotics
• Conservative discontinuous Galerkin/Hermite spectral method for the Vlasov-Poisson system
• On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system
• Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations
• A practical difference scheme for Fokker-Planck equations
• Numerical integration methods of the Vlasov equation
• A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
• Numerical hypocoercivity for the Kolmogorov equation
• Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit
• Solving the Boltzmann Equation in N log₂N
• Hypocoercivity
• Convergence of Moment Methods for Linear Kinetic Equations
• Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
• Asymptotic-Preserving Monte Carlo Methods for Transport Equations in the Diffusive Limit
• Introduction to hypocoercive methods and applications for simple linear inhomogeneous kinetic models
• Spectral velocity discretizations for the Vlasov-Maxwell equations
• A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations
• Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation
• A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
• Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations
• Hypocoercivity for linear kinetic equations conserving mass
• Asymptotic behaviour of a finite-volume scheme for the transient drift-diffusion model
• Identification of Asymptotic Decay to Self-Similarity for One-Dimensional Filtration Equations
• Large-time behaviour of a family of finite volume schemes for boundary-driven convection–diffusion equations
• On the Convergence of Discontinuous Galerkin/Hermite Spectral Methods for the Vlasov–Poisson System

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