Here is a list of the publications I have worked in. Whenever possible, I will link to an open access alternative.
- Barnafi N, Gatica GN, Hurtado DE. Primal and mixed finite element methods for deformable image registration problems. SIAM Journal on Imaging Sciences. 2018.
- Barnafi N, Gatica GN, Hurtado DE, Miranda W, Ruiz-Baier R. A posteriori error estimates for primal and mixed finite element approximations of the deformable image registration problem. SIAM Journal on Imaging Sciences.
- Barnafi N, Gatica GN, Hurtado DE, Miranda W, Ruiz-Baier R. New primal and dual-mixed finite element methods for stable image registration with singular regularization. Mathematical Models and Methods in Applied Sciences. 2021 Apr.
- Barnafi N, Zunino P, Dede' L, Quarteroni A. Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model. Computers & Mathematics with Applications. 2020 Aug.
- Both JW, Barnafi NA, Radu FA, Zunino P, Quarteroni A. Iterative splitting schemes for a soft material poromechanics model. Computer Methods in Applied Mechanics and Engineering. 2022 Jan.
- Barnafi N, Di Gregorio S, Dede' L, Zunino P, Vergara C, Quarteroni A. A multiscale poromechanics model integrating myocardial perfusion and systemic circulation. MOX Reports. 2021 Jun.
- Barnafi N, Gómez-Vargas B, Lourenço WJ, Reis RF, Rocha BM, Lobosco M, Ruiz-Baier R, Weber dos Santos R. Mixed methods for large-strain poroelasticity/chemotaxis models simulating the formation of myocardial oedema. Arxiv. 2021 Nov.