A Semi-implicit Exponential Low-Regularity Integrator for the Navier--Stokes Equations

DOI10.1137/21M1437007zbMath1503.65237arXiv2107.13427OpenAlexW4292755731WikidataQ115525504 ScholiaQ115525504MaRDI QIDQ5102239

Buyang Li, Shu Ma, Katharina Schratz

Publication date: 6 September 2022

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

Full work available at URL: https://arxiv.org/abs/2107.13427

zbMATH Keywords

Navier-Stokes equationsfinite element methoderror estimatesemi-implicit Euler scheme\(L^2\) initial data

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (3)

A second-order low-regularity correction of Lie splitting for the semilinear Klein–Gordon equation ⋮ Fully discrete error analysis of first‐order low regularity integrators for the Allen‐Cahn equation ⋮ Low regularity integrators for semilinear parabolic equations with maximum bound principles

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