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Divergence-conforming methods for transient double-diffusive flows: a priori and a posteriori error analysis
Raimund Bürger, Arbaz Khan, Paul E Méndez and Ricardo Ruiz-Baier IMA Journal of Numerical Analysis 44(6) 3520 (2024) https://doi.org/10.1093/imanum/drad090
A posteriori error analysis of a semi‐augmented finite element method for double‐diffusive natural convection in porous media
Mario Álvarez, Eligio Colmenares and Filánder A. Sequeira Numerical Methods for Partial Differential Equations 40(4) (2024) https://doi.org/10.1002/num.23090
A stabilized finite element method for the Stokes–Temperature coupled problem
A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems
Gabriel N. Gatica, Bryan Gómez-Vargas and Ricardo Ruiz-Baier Journal of Computational and Applied Mathematics 409 114144 (2022) https://doi.org/10.1016/j.cam.2022.114144
Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model
Ricardo Oyarzúa, Sander Rhebergen, Manuel Solano and Paulo Zúñiga ESAIM: Mathematical Modelling and Numerical Analysis 55 S475 (2021) https://doi.org/10.1051/m2an/2020045
Residual-baseda posteriorierror analysis for the coupling of the Navier–Stokes and Darcy–Forchheimer equations
Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa and Felipe Sandoval ESAIM: Mathematical Modelling and Numerical Analysis 55(2) 659 (2021) https://doi.org/10.1051/m2an/2021005
Adaptive Mesh Refinement in Deformable Image Registration: A Posteriori Error Estimates for Primal and Mixed Formulations
Nicolas Barnafi, Gabriel N. Gatica, Daniel E. Hurtado, Willian Miranda and Ricardo Ruiz-Baier SIAM Journal on Imaging Sciences 14(3) 1238 (2021) https://doi.org/10.1137/20M1364333
A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy
A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem
Gonzalo A. Benavides, Sergio Caucao, Gabriel N. Gatica and Alejandro A. Hopper Computer Methods in Applied Mechanics and Engineering 371 113285 (2020) https://doi.org/10.1016/j.cma.2020.113285
A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd–Stokes problem
Sergio Caucao, Gabriel N. Gatica and Ricardo Oyarzúa Numerical Methods for Partial Differential Equations 35(1) 295 (2019) https://doi.org/10.1002/num.22301
A posteriori error estimation for an augmented mixed-primal method applied to sedimentation–consolidation systems