New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces
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Publication:6087390
DOI10.1515/jnma-2022-0073MaRDI QIDQ6087390
Ricardo Ruiz-Baier, Gabriel N. Gatica, Nicolás Núñez
Publication date: 11 December 2023
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
mixed finite element methodsa priori error analysisfixed-point theoryBabuška-Brezzi theoryNavier-Stokes-Brinkman equationsBanach frameworkperturbed saddle-point
Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
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- Dual-mixed finite element methods for the stationary Boussinesq problem
- Combined higher-order finite volume and finite element scheme for double porosity and nonlinear adsorption of transport problem in porous media
- On the stability of BDMS and PEERS elements
- A Newton method with adaptive finite elements for solving phase-change problems with natural convection
- A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy
- Cardiovascular mathematics. Modeling and simulation of the circulatory system
- A comprehensive numerical model for melting with natural convection
- Multifrontal parallel distributed symmetric and unsymmetric solvers
- Numerical analysis of a dual-mixed problem in non-standard Banach spaces
- Hierarchical Boltzmann simulations and model error estimation
- A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem
- Theory and practice of finite elements.
- Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters
- A posteriori error estimates and adaptive mesh refinement for the Stokes-Brinkman problem
- Analysis of an augmented fully-mixed finite element method for a bioconvective flows model
- A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem
- An explicit stabilised finite element method for Navier-Stokes-Brinkman equations
- On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces
- A new mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent viscosity
- Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds
- Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics
- Stability and finite element approximation of phase change models for natural convection in porous media
- New mixed finite element methods for natural convection with phase-change in porous media
- An Augmented Mixed Finite Element Method for the Navier--Stokes Equations with Variable Viscosity
- Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem
- A Simple Introduction to the Mixed Finite Element Method
- Finite Element Approximation of Nonsolenoidal, Viscous Flows around Porous and Solid Obstacles
- A Uniformly Stable Nonconforming FEM Based on Weighted Interior Penalties for Darcy-Stokes-Brinkman Equations
- A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
- Mixed finite element methods for linear elasticity with weakly imposed symmetry
- PEERS: A new mixed finite element for plane elasticity
- Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes Problem
- Mixed and Hybrid Finite Element Methods
- Error analysis of an augmented mixed method for the Navier–Stokes problem with mixed boundary conditions
- Coupling of Discontinuous Galerkin Schemes for Viscous Flow in Porous Media with Adsorption
- Mixed Finite Element Methods and Applications
- A Banach space mixed formulation for the unsteady Brinkman–Forchheimer equations
- Dual-mixed finite element methods for the Navier-Stokes equations
- The Mathematical Theory of Finite Element Methods