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A Mixed Virtual Element Method for the Boussinesq Problem on Polygonal meshes

Journal of computational mathematics, 2021-01, Vol.39 (3), p.392-427

2021

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Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem

Mathematics of computation, 2011-10, Vol.80 (276), p.1911-1948

2011

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Analysis of the HDG method for the stokes–darcy coupling

Numerical methods for partial differential equations, 2017-05, Vol.33 (3), p.885-917

2017

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A POSTERIORI ERROR ANALYSIS OF A FULLY-MIXED FINITE ELEMENT METHOD FOR A TWO-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM

Journal of computational mathematics, 2015-11, Vol.33 (6), p.606-641

2015

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On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations

Computers & mathematics with applications (1987), 2021-11, Vol.102, p.87-94

2021

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New Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Double-Diffusion Equations

Journal of scientific computing, 2023-12, Vol.97 (3), p.61, Article 61

2023

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A mixed virtual element method for the Navier–Stokes equations

Mathematical models & methods in applied sciences, 2018-12, Vol.28 (14), p.2719-2762

2018

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A note on stable Helmholtz decompositions in 3D

Applicable analysis, 2020-05, Vol.99 (7), p.1110-1121

Gatica, Gabriel N.

2020

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A mixed virtual element method for the Brinkman problem

Mathematical models & methods in applied sciences, 2017-04, Vol.27 (4), p.707-743

2017

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An L p spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations

IMA journal of numerical analysis, 2022-10, Vol.42 (4), p.3154-3206

2022

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A fully‐mixed finite element method for the coupling of the Navier–Stokes and Darcy–Forchheimer equations

Numerical methods for partial differential equations, 2021-05, Vol.37 (3), p.2550-2587

2021

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New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations

IMA journal of numerical analysis, 2024-09

2024

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A Banach spaces-based mixed finite element method for the stationary convective Brinkman–Forchheimer problem

Calcolo, 2023-11, Vol.60 (4), Article 51

2023

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A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem

Computer methods in applied mechanics and engineering, 2020-11, Vol.371, p.113285, Article 113285

2020

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Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds

Computers & mathematics with applications (1987), 2021-02, Vol.84, p.244-276

2021

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Mixed-Primal Methods for Natural Convection Driven Phase Change with Navier–Stokes–Brinkman Equations

Journal of scientific computing, 2023-06, Vol.95 (3), p.79, Article 79

2023

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A Posteriori Error Analysis of a Mixed Finite Element Method for the Coupled Brinkman–Forchheimer and Double-Diffusion Equations

Journal of scientific computing, 2022-11, Vol.93 (2), p.50, Article 50

2022

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A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman–Forchheimer Equations

Journal of scientific computing, 2020-11, Vol.85 (2), p.44, Article 44

2020

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Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems

Computer methods in applied mechanics and engineering, 2018-08, Vol.337, p.411-438

2018

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A five-field augmented fully-mixed finite element method for the Navier–Stokes/Darcy coupled problem

Computers & mathematics with applications (1987), 2020-10, Vol.80 (8), p.1944-1963

2020

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A posteriori error analysis of a Banach spaces-based fully mixed FEM for double-diffusive convection in a fluid-saturated porous medium

Computational geosciences, 2023-04, Vol.27 (2), p.289-316

2023

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Coupled mixed finite element and finite volume methods for a solid velocity-based model of multidimensional sedimentation

ESAIM: Mathematical Modelling and Numerical Analysis, 2023-07, Vol.57 (4), p.2529-2556

2023

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A posteriori error estimation for an augmented mixed-primal method applied to sedimentation–consolidation systems

Journal of computational physics, 2018-08, Vol.367, p.322-346

2018

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A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman–Forchheimer and double-diffusion equations

ESAIM: Mathematical Modelling and Numerical Analysis, 2021-11, Vol.55 (6), p.2725-2758

2021

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A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem

ESAIM: Mathematical Modelling and Numerical Analysis, 2020-09, Vol.54 (5), p.1689-1723

2020

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A Mixed Virtual Element Method for the Boussinesq Problem on Polygonal meshes

Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem

Analysis of the HDG method for the stokes–darcy coupling

A POSTERIORI ERROR ANALYSIS OF A FULLY-MIXED FINITE ELEMENT METHOD FOR A TWO-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM

On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations

New Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Double-Diffusion Equations

A mixed virtual element method for the Navier–Stokes equations

A note on stable Helmholtz decompositions in 3D

A mixed virtual element method for the Brinkman problem

An L p spaces-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 Navier–Stokes and Darcy–Forchheimer equations

New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations

A Banach spaces-based mixed finite element method for the stationary convective Brinkman–Forchheimer problem

A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem

Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds

Mixed-Primal Methods for Natural Convection Driven Phase Change with Navier–Stokes–Brinkman Equations

A Posteriori Error Analysis of a Mixed Finite Element Method for the Coupled Brinkman–Forchheimer and Double-Diffusion Equations

A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman–Forchheimer Equations

Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems

A five-field augmented fully-mixed finite element method for the Navier–Stokes/Darcy coupled problem

A posteriori error analysis of a Banach spaces-based fully mixed FEM for double-diffusive convection in a fluid-saturated porous medium

Coupled mixed finite element and finite volume methods for a solid velocity-based model of multidimensional sedimentation

A posteriori error estimation for an augmented mixed-primal method applied to sedimentation–consolidation systems

A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman–Forchheimer and double-diffusion equations

A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem

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