An optimal error estimate of the BDF-Galerkin FEM for the incompressible MHD system
DOI10.1016/j.jmaa.2022.126460zbMath1493.65156OpenAlexW4283653216MaRDI QIDQ2157722
Shuaijun Liu, Pengzhan Huang, Yin-Nian He
Publication date: 22 July 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126460
convergenceoptimal error estimateslinearized BDF-3 Galerkin FEMnonstationary magnetohydrodynamics equations
PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) 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 methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) 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)
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