On the Rayleigh-Bénard-Marangoni problem: theoretical and numerical analysis
DOI10.3934/jcd.2020006zbMath1446.35137OpenAlexW3025169429MaRDI QIDQ2192456
Diego Armando Rueda-Gómez, Elder Jesús Villamizar-Roa, Jhean E. Pérez-López
Publication date: 17 August 2020
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jcd.2020006
convergence rateserror estimatesfinite elementsglobal weak solutionsRayleigh-Bénard-Marangoni system
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) 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) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Weak solutions to PDEs (35D30)
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