Unconditionally optimal convergence analysis of second-order BDF Galerkin finite element scheme for a hybrid MHD system

DOI10.1007/s10444-020-09815-wzbMath1471.65150OpenAlexW3088331493MaRDI QIDQ831044

Yuan Li, Chunfang Zhai

Publication date: 10 May 2021

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-020-09815-w

zbMATH Keywords

finite element methoderror analysismagnetohydrodynamics equationsBDF scheme

Mathematics Subject Classification ID

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) 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)

Related Items (4)

Efficient interior penalty discontinuous Galerkin projection method with unconditional energy stability and second-order temporal accuracy for the incompressible magneto-hydrodynamic system ⋮ A grad‐div stabilized method using the Jacobi iteration for the thermally coupled incompressible magnetohydrodynamic system ⋮ A splitting discontinuous Galerkin projection method for the magneto-hydrodynamic equations ⋮ Second order fully decoupled and unconditionally energy-stable finite element algorithm for the incompressible MHD equations

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