Publications

A pseudostress-based fully mixed formulation for the unsteady Biot–Brinkman model

J. Camaño, S. Caucao, C. Inzunza

Preprint, GIANuC², Universidad Católica de la Santísima Concepción

Preprint

A pseudostress-based fully mixed finite element method for the stationary Biot–Poisson–Nernst–Planck system

C. Inzunza

Submitted

DOI 10.13140/RG.2.2.11969.31844

Mixed finite element methods for a heat-assisted model of sedimentation

J. Careaga, C. Inzunza

arXiv preprint arXiv:2610.28903

arXiv:2610.28903

A locking-free mixed-primal formulation for the Biot–Brinkman–Forchheimer model

J. Camaño, S. Caucao, C. Inzunza

Preprint 2026-9, GIANuC², Universidad Católica de la Santísima Concepción

Preprint

A priori and a posteriori error analysis of a mixed FEM for stationary convective Brinkman–Forchheimer flows with variable porosity

S. Caucao, G. N. Gatica, L. F. Gatica, C. Inzunza

Journal of Computational and Applied Mathematics, 492, Article 118115

Preprint

A five-field mixed formulation for the fully dynamic Biot–Brinkman model

J. Camaño, S. Caucao, C. Inzunza

ESAIM: Mathematical Modelling and Numerical Analysis, accepted

DOI 10.1051/m2an/2026094Preprint

Primal-mixed finite element methods for the coupled Biot and Poisson–Nernst–Planck equations

G. N. Gatica, C. Inzunza, R. Ruiz-Baier

Computers & Mathematics with Applications, 186, 53–83

DOI 10.1016/j.camwa.2025.03.004Preprint

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

J. Careaga, G. N. Gatica, C. Inzunza, R. Ruiz-Baier

IMA Journal of Numerical Analysis, 45(4), 1936–1984

DOI 10.1093/imanum/drae052Preprint

A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier–Stokes problem

S. Caucao, E. Colmenares, G. N. Gatica, C. Inzunza

Computers & Mathematics with Applications, 145, 65–89

DOI 10.1016/j.camwa.2023.06.006Preprint

New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems

G. N. Gatica, C. Inzunza, F. A. Sequeira

Applied Numerical Mathematics, 193, 148–178

DOI 10.1016/j.apnum.2023.07.017Preprint

A pseudostress-based mixed-primal finite element method for stress-assisted diffusion problems in Banach spaces

G. N. Gatica, C. Inzunza, F. A. Sequeira

Journal of Scientific Computing, 92

DOI 10.1007/s10915-022-01959-9Preprint

A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models

G. N. Gatica, C. Inzunza, R. Ruiz-Baier, F. Sandoval

Journal of Numerical Mathematics, 30, 325–356

DOI 10.1515/jnma-2021-0101Preprint

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

G. N. Gatica, C. Inzunza

Computers & Mathematics with Applications, 102, 87–94

DOI 10.1016/j.camwa.2021.10.004Preprint

An augmented fully-mixed finite element method for a coupled flow-transport problem

G. N. Gatica, C. Inzunza

Calcolo, 57

DOI 10.1007/s10092-020-0355-yPreprint