Ilaria Fontana

Name: Ilaria Fontana

Current position: Postdoctoral Research Associate

Affiliation: University of Arizona, Department Mathematics

Office: ENR2 S262, Environment and Natural Resources 2 Building, Tucson, AZ 85719

Email: ifontana@arizona.edu

CV: CV in English

Past Work Experience

Visiting Assistant Professor, Department of Engineering Sciences and Applied Mathematics (ESAM), Northwestern University, Evanston, IL, 2022-2024

Education

Ph.D. in Mathematics and Modelisation, University of Montpellier and EDF Lab Paris-Saclay (CIFRE agreement), France, 2022

M.S. in Applied Mathematics, University of Udine, Italy, 2018

B.S. in Mathematics, University of Udine, Italy, 2016

Publications

Articles and Conference Papers

• I. Fontana, D. A. Di Pietro, An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact. Computer Methods in Applied Mechanics and Engineering, 2024, 425:116950. DOI: 10.1016/j.cma.2024.116950.
  Preprint: arXiv, Hal


• D. A. Di Pietro, I. Fontana, K. Kazymyrenko, A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method. Computers & Mathematics with Applications, 2022, 111:61-80.
  DOI: 10.1016/j.camwa.2022.02.008.
  Preprint: arXiv, Hal


• I. Fontana, D. A. Di Pietro, K. Kazymyrenko, A Posteriori Error Estimation via Equilibrated Stress Reconstruction for Unilateral Contact Problems. Presentations and videos to 10th International Conference on Adaptative Modeling and Simulation (ADMOS). DOI: 10.23967/admos.2021.008.


• I. Fontana, K. Kazymyrenko, D. A. Di Pietro, Hyperelastic nature of the Hoek-Brown criterion. Submitted.
  Preprint: Hal


• I. Fontana, K. Kazymyrenko, A interface model for dams with cohesive zone model coupling damage and plasticity. In preparation.


• I. Fontana, R. Vermiglio, An experimental investigation on weighted orthogonal polynomials for equations with infinite delay. In preparation.

Thesis

• I. Fontana, Interface Problems for Dam Modeling (Problèmes d'interface pour les ouvrages hydrauliques). Ph.D. Thesis
  Hal these

Conference Talks & Seminars

• Talk at the WCCM-PANAC 2024, 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, Adaptive mesh algorithm for frictional contact problems based on a posteriori error analysis, July 2024, Vancouver (Canada)


• Talk at the Spring 2024 Finite Element Circus at Brown University, An equilibrated a posteriori error analysis for frictional contact problems, April 2024, Providence, RI (USA), [slides]


• Talk Alumni at Scuola Superiore Universitaria Di Toppo Wassermann of the University of Udine, Scintillae event, Metodi numerici per problemi meccanici (Numerical methods for mechanical problems), December 2023, Udine (Italy)


• Talk at ICCCM 2023, 7th International Conference on Computational Contact Mechanics, Application of a posteriori analysis to contact problems, July 2023, Turin (Italy)


• Talk at the Spring 2023 Finite Element Circus at Bridgewater State University, Dam modeling: Application of a posteriori error analysis to contact problems, March 2023, Bridgewater, MA (USA)


• Seminar in the Department of Mathematics at Purdue, Dam modeling: Application of a posteriori error analysis to contact problems, December 2022, West Lafayette, IN (USA)


• Defense at IMAG (University of Montpellier), Interface Problems for Dam Modeling, March 2022, Montpellier (France), [slides]


• Seminar (Pre-defense) in the ERMES Department at EDF R&D, Interface Problems for Dam Modeling, March 2022, Palaiseau (France)


• Talk at EFEF2020, 18th European Finite Element Fair, A Posteriori Error Estimation via Equilibrated Stress Reconstruction for Unilateral Contact Problems, Abstract selected for oral presentation, September 2021, Paris (France), [slides]


• Talk at USNCCM16, 16th U.S. National Congress on Computational Mechanics, A Posteriori Error Estimation via Equilibrated Stress Reconstruction for Unilateral Contact Problems, Abstract selected for oral presentation, July 2021, Online


• Talk at ADMOS 2021, 10th International Conference on Adaptive Modeling and Simulation, A Posteriori Error Estimation via Equilibrated Stress Reconstruction for Unilateral Contact Problems, Abstract selected for oral presentation, June 2021, Online, [video and abstract]


• Invited seminar in the CDLab of the University of Udine, A Posteriori Error Estimation via Equilibrated Stress Reconstruction for Unilateral Contact Problems, June 2021, Online, [slides]


• Talk at Congrés Français de Mécanique 2019, Lois mécaniques pour les ouvrages hydrauliques (Constitutive relations for hydraulic structures), Abstract selected for oral presentation, August 2019, Brest (France)


• Master student seminar in the CDLab of the University of Udine, Numerical Bifurcation of Equations with Infinite Delay via Pseudospectral Collocation, October 2018, Udine (Italy)


• Master student seminar in the CDLab of the University of Udine, Laguerre-type orthogonal polynomials and transformation of the Chebyshev nodes, September 2018, Udine (Italy)

Conference Posters

• Journées scientifiques du GdR MaNu, A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method, October 2021, Le Croisic (France)


• Colloque National MECAMAT 2019 - Rupture des Matériaux et des Structures, A model describing vapour and droplets, January 2019, Aussois (France)

MATH 122B: Calculus I, University of Arizona

• Fall 2024: Instructor for one sections

MATH 228-2: Multiple Integration and Vector Calculus, Northwestern University

• Winter 2023: Instructor for two sections - Collaboration with Prof. Michael Miksis and Prof. Petia Vlahovska
• Spring 2023: Instructor for one section
• Fall 2023: Instructor for one section - Collaboration with Prof. Daniel Lecoanet
• Winter 2024: Instructor for two sections - Collaboration with Prof. Petia Vlahovska