Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation

DOI10.1137/19M1296914zbMath1456.65112arXiv1810.05137MaRDI QIDQ5147761

Emmanuil H. Georgoulis

Publication date: 28 January 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05137

zbMATH Keywords

Galerkin methodfinite element methodKolmogorov equationhypocoercivity

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fokker-Planck equations (35Q84)

Related Items

Hypocoercivity with Schur complements ⋮ On a structure-preserving numerical method for fractional Fokker-Planck equations ⋮ On a discrete framework of hypocoercivity for kinetic equations ⋮ Hybrid kinetic/fluid numerical method for the Vlasov-BGK equation in the diffusive scaling ⋮ A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model ⋮ Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations

Uses Software

• FV_HipoDiff

Cites Work

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