Analysis of a velocity–pressure–pseudostress formulation for the stationary Stokes equations
GN Gatica, A Márquez, MA Sánchez - Computer Methods in Applied …, 2010 - Elsevier
We consider a non-standard mixed approach for the Stokes problem in which the velocity,
the pressure, and the pseudostress are the main unknowns. Alternatively, the pressure can …
the pressure, and the pseudostress are the main unknowns. Alternatively, the pressure can …
Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow
GN Gatica, LF Gatica, A Márquez - Numerische Mathematik, 2014 - Springer
In this paper we introduce and analyze a new mixed finite element method for the two-
dimensional Brinkman model of porous media flow with mixed boundary conditions. We use …
dimensional Brinkman model of porous media flow with mixed boundary conditions. We use …
An Augmented Mixed Finite Element Method for the Navier--Stokes Equations with Variable Viscosity
A new mixed variational formulation for the Navier--Stokes equations with constant density
and variable viscosity depending nonlinearly on the gradient of velocity, is proposed and …
and variable viscosity depending nonlinearly on the gradient of velocity, is proposed and …
A priori and a posteriori error analyses of a velocity-pseudostress formulation for a class of quasi-Newtonian Stokes flows
GN Gatica, A Márquez, MA Sánchez - Computer Methods in Applied …, 2011 - Elsevier
In this paper we introduce and analyze new mixed finite element schemes for a class of
nonlinear Stokes models arising in quasi-Newtonian fluids. The methods are based on a …
nonlinear Stokes models arising in quasi-Newtonian fluids. The methods are based on a …
[HTML][HTML] A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity
GN Gatica, LF Gatica, FA Sequeira - Computers & Mathematics with …, 2016 - Elsevier
In this paper we present the a priori and a posteriori error analyses of a non-standard mixed
finite element method for the linear elasticity problem with non-homogeneous Dirichlet …
finite element method for the linear elasticity problem with non-homogeneous Dirichlet …
A mixed virtual element method for a pseudostress-based formulation of linear elasticity
In this paper we introduce and analyze a mixed virtual element method (mixed-VEM) for a
pseudostress-displacement formulation of the linear elasticity problem with non …
pseudostress-displacement formulation of the linear elasticity problem with non …
Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems
We analyse the solvability of a static coupled system of PDEs describing the diffusion of a
solute into an elastic material, where the process is affected by the stresses exerted in the …
solute into an elastic material, where the process is affected by the stresses exerted in the …
Augmented mixed finite element method for the Oseen problem: a priori and a posteriori error analyses
TP Barrios, JM Cascón, M González - Computer Methods in Applied …, 2017 - Elsevier
We propose a new augmented dual-mixed method for the Oseen problem based on the
pseudostress–velocity formulation. The stabilized formulation is obtained by adding to the …
pseudostress–velocity formulation. The stabilized formulation is obtained by adding to the …
A systematic approach to predicting spring force for sagittal craniosynostosis surgery
Spring-assisted surgery (SAS) can effectively treat scaphocephaly by reshaping crania with
the appropriate spring force. However, it is difficult to accurately estimate spring force without …
the appropriate spring force. However, it is difficult to accurately estimate spring force without …
A priori and a posteriori error analyses of augmented twofold saddle point formulations for nonlinear elasticity problems
GN Gatica, A Márquez, W Rudolph - Computer Methods in Applied …, 2013 - Elsevier
In this paper we introduce and analyze new augmented mixed finite element methods
allowing much more flexibility in the choice of the corresponding finite dimensional …
allowing much more flexibility in the choice of the corresponding finite dimensional …