Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System
DOI10.1137/22m1486844zbMath1529.65057OpenAlexW4377088181MaRDI QIDQ6040299
Wentao Cai, Sun, Weiwei, Zongze Yang, Jilu Wang
Publication date: 24 May 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/22m1486844
unconditional stabilityfinite element methodsoptimal error estimatesCahn-Hilliard-Navier-StokesRitz quasi-projection
Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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)
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