Optimal convergence of the scalar auxiliary variable finite element method for the natural convection equations

DOI10.1007/s10915-022-01981-xzbMath1497.35382OpenAlexW4296078129WikidataQ114225516 ScholiaQ114225516MaRDI QIDQ2676805

Wenju Zhao, Weidong Zhao, Ya Ping Li

Publication date: 28 September 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-022-01981-x

zbMATH Keywords

error estimatesscalar auxiliary variable approachlinearly extrapolated Crank-Nicolson methodnatural convection equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Heat equation (35K05) 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) Free convection (76R10) 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) Methods of ordinary differential equations applied to PDEs (35A24)

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Unconditionally stable, second order, decoupled ensemble schemes for computing evolutionary Boussinesq equations, Spatio‐temporal scalar auxiliary variable approach for the nonlinear convection–diffusion equation with discontinuous Galerkin method

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