A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity

DOI10.1016/j.apnum.2024.03.023zbMath1542.65109MaRDI QIDQ6549567

Isaac Bermúdez, Juan P. Silva, Claudio I. Correa, Gabriel N. Gatica

Publication date: 4 June 2024

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Banach spacesNavier-Stokes equationsmixed finite element methodsnonlinear viscositya priori error analysis

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical computation of solutions to systems of equations (65H10) Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods applied to PDEs (35A15) Navier-Stokes equations (35Q30) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Perturbations in context of PDEs (35B20)

Related Items (1)

Nonlinear twofold saddle point-based mixed finite element methods for a regularized \(\mu(I)\)-rheology model of granular materials

Cites Work

• Multifrontal parallel distributed symmetric and unsymmetric solvers
• Numerical analysis of a dual-mixed problem in non-standard Banach spaces
• Solvability and Galerkin approximations of a class of nonlinear operator equations
• Theory and practice of finite elements.
• On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces
• An Augmented Mixed Finite Element Method for the Navier--Stokes Equations with Variable Viscosity
• A Simple Introduction to the Mixed Finite Element Method
• Analysis of an augmented mixed-FEM for the Navier-Stokes problem
• A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
• Asymptotic Mesh Independence of Newton's Method Revisited
• On the numerical analysis of nonlinear twofold saddle point problems
• An Lpspaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations
• A fully mixed finite element method for the coupling of the Stokes and Darcy–Forchheimer problems
• Dual-mixed finite element methods for the Navier-Stokes equations
• An augmented stress‐based mixed finite element method for the steady state Navier‐Stokes equations with nonlinear viscosity
• Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems
• New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces
• Analysis of a momentum conservative <scp>mixed‐FEM</scp> for the stationary <scp>Navier–Stokes</scp> problem
• A fully‐mixed finite element method for the coupling of the Navier–Stokes and Darcy–Forchheimer equations
• A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem

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