Ilaria Fontana

Name: Ilaria Fontana

Current position: Postdoctoral Research Associate

Affiliation: University of Arizona, Department Mathematics

Office: ENR2 N262, 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, G. Bacquaert, D. A. Di Pietro, K. Kazymyrenko, Hyperelastic nature of the Hoek-Brown criterion. European Journal of Mechanics - A/Solids, 2026, 115:105782.
  - DOI: 10.1016/j.euromechsol.2025.105782
  - [arXiv], [Hal]


• I. Fontana, L.-M. Imbert-Gérard, Generalized Plane Wave quasi-Trefftz spaces for wave propagation in inhomogeneous media. Accepted in Forum Acusticum/Euronoise 2025, the 11th EAA Annual European Conference on Acoustics and Noise Control Engineering, 2025.
  - [arXiv]


• 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, 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 ICOSAHOM 2025, The 15th International Conference on Spectral and High Order Methods, Quasi-Trefftz Spaces for Vector-Valued Equations, July 2025, Montréal (Canada)


• Talk at ADMOS 2025, 12th International Conference on Adaptive Modeling and Simulation, A Posteriori Error Analysis for Contact Problems with Application to Dam Modeling, June 2025, Barcelona (Spain)


• Talk at EFEF2025, 22nd European Finite Element Fair, Recent Advances on Quasi-Trefftz Methods Based on Generalized Plane Waves, May 2025, Trieste (Italy)


• Talk at CSE, SIAM Conference on Computational Science and Engineering, Quasi-Trefftz Methods with Applications to Maxwell’s Equations, March 2025, Fort Worth, TX (USA)


• Analysis, Dynamics, and Applications Seminar in the Department of Mathematics at the University of Arizona, Analysis of the Tau Method for Eigenvalue Problems, November 2024, Tucson, AZ (USA)


• Modeling and Computation Seminar in the Department of Mathematics at the University of Arizona, A Posteriori Error Analysis for Contact Problems with Application to Dam Modeling, September 2024, Tucson, AZ (USA)


• Talk at 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]

MATH/DATA 363: Introduction to Statistical Methods, University of Arizona

• Fall 2025: Co-teaching with Prof. Joseph C. Watkins; flipped course

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