16 citations · 33 across the 10 of their papers we have counts for
10 papers
Dynamic subscales and unconditional semi-discrete stability for non-residual VMS approximations of generalised Newtonian flows
G. R. Barrenechea, E. Castillo, R. Codina +2
We analyse a non-residual variational multiscale finite element formulation with dynamic subscales for incompressible generalised Newtonian Navier--Stokes flows. The apparent visco…
An adaptive superconvergent mixed finite element method for exactly symmetric linear elasticity based on local residual minimization
Ernesto Cáceres, Patrick Vega
We introduce an a posteriori error estimator for exactly symmetric mixed finite element discretizations of linear elasticity, based on recasting a Stenberg-type postprocessing sche…
A robust fully-mixed finite element method with skew-symmetry penalization for low-frequency poroelasticity
Stefano Bonetti, Michele Botti, Patrick Vega
In this work, we present and analyze a fully-mixed finite element scheme for the dynamic poroelasticity problem in the low-frequency regime. We write the problem as a four-field, f…
Minimum-residual a posteriori error estimates for hybridizable discontinuous Galerkin discretizations of the Helmholtz equation
Liliana Camargo, Sergio Rojas, Patrick Vega
We propose and analyze two a posteriori error indicators for hybridizable discontinuous Galerkin (HDG) discretizations of the Helmholtz equation. These indicators are built to mini…
An adaptive superconvergent finite element method based on local residual minimization
Ignacio Muga, Sergio Rojas, Patrick Vega
We introduce an adaptive superconvergent finite element method for a class of mixed formulations to solve partial differential equations involving a diffusion term. It combines a s…
Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell's equations
T. Chaumont-Frelet, P. Vega
We propose a new residual-based a posteriori error estimator for discontinuous Galerkin discretizations of time-harmonic Maxwell's equations in first-order form. We establish that…
Frequency-explicit approximability estimates for time-harmonic Maxwell's equations
T. Chaumont-Frelet, P. Vega
We consider time-harmonic Maxwell's equations set in an heterogeneous medium with perfectly conducting boundary conditions. Given a divergence-free right-hand side lying in ,…
A posteriori error estimates for finite element discretizations of time-harmonic Maxwell's equations coupled with a non-local hydrodynamic Drude model
T. Chaumont-Frelet, S. Lanteri, P. Vega
We consider finite element discretizations of Maxwell's equations coupled with a non-local hydrodynamic Drude model that accurately accounts for electron motions in metallic nanost…
Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations
T. Chaumont-Frelet, P. Vega
We consider residual-based a posteriori error estimators for Galerkin-type discretizations of time-harmonic Maxwell's equations. We focus on configurations where the frequency is h…
A high order HDG method for curved-interface problems via approximations from straight triangulations
Weifeng Qiu, Manuel Solano, Patrick Vega
We generalize the technique of [Solving Dirichlet boundary-value problems on curved domains by extensions from subdomains, SIAM J. Sci. Comput. 34, pp. A497--A519 (2012)] to ellipt…