Dr. Francisco Periago

Full Professor, Applied Mathematics

RESEARCH LINKS

  • ETSII Office B023. Campus Muralla del Mar. Hospital de Marina. C/ Dr. Fleming SN. 30202 Cartagena
  • Available For Postgraduate Supervision

ABOUT

I hold a Doctorate in Applied Mathematics from the University of Valencia, Spain, conferred in 1999. Notably, I served as the principal investigator in two I+D+i contracts with Navantia S.A (2007-2012), facilitating the funding of a predoctoral scholarship and a predoctoral research contract. This endeavor resulted in the submission of two PhD theses and the creation of the software SIMUSUB, presently employed at Navantia. Additionally, I have delivered keynote addresses at various national (e.g., XXVII CEDYA/XVII CMA, held in Zaragoza in 2022) and international congresses and workshops (e.g., at the esteemed Institute Henri Poincaré, Paris).

My academic engagements extend globally, having served as a visiting researcher at multiple esteemed institutions: (1) School of Mathematics, University of New South Wales (Australia, 3 months in 2000); (2) Instituto de Matemática - Laboratorio Nacional de Computación, Rio de Janeiro (Brazil, 6 weeks in 2003); (3) Departament de Mathématiques, Université de Franche-Comté (France, several short visits between 2006-2010); (4) École Polytechnique de Paris (France, several short visits between 2008-2014); (5) Mathematics Department, University of California, Santa Barbara (USA, 4 months in 2021). Furthermore, my research contributions have been recognized through successive periods of research activity (Sexenios de investigación y transferencia), totaling five periods, with the latest spanning from 2016 to 2021.

AREAS OF EXPERTISE

  • Optimal Control and Design of PDEs
  • Stochastic PDEs
  • Robust and Risk-averse design
  • Topology Optimization
  • Physics-informed Neural Networks
  • Shape control in Finite Strains
Book Access

PUBLICATIONS

19274/PI/14 21996/PI/22 Analysis Applied Mathematics Computational Mathematics Computational Mechanics Computational Theory and Mathematics Computer Graphics and Computer-Aided Design Computer Science Applications Constitutive modeling Control and Optimization Control and Systems Engineering DICOPMA Dielectric elastomer Evolutionary topology optimization Fail-safe design Finite element method General Engineering General Mathematics Management Science and Operations Research Mechanical Engineering Nonlinear electro-elasticity Numerical Analysis Ocean Engineering Phase-field Polyconvexity Rank-one laminates Robust design Software Topology optimisation

Show all

2015

Robust optimal shape design for an elliptic PDE with uncertainty in its input data

Martínez-Frutos, Jesús; Kessler, Mathieu; Periago, Francisco

Robust optimal shape design for an elliptic PDE with uncertainty in its input data Journal Article

In: ESAIM: COCV, vol. 21, no. 4, pp. 901–923, 2015, ISSN: 1262-3377.

BibTeX | Tags: 19274/PI/14, Computational Mathematics, Control and Optimization, Control and Systems Engineering | Links:

2011

Analysis and numerical simulation of a nonlinear mathematical model for testing the manoeuvrability capabilities of a submarine

Ovalle, Diana M.; García, Javier; Periago, Francisco

Analysis and numerical simulation of a nonlinear mathematical model for testing the manoeuvrability capabilities of a submarine Journal Article

In: Nonlinear Analysis: Real World Applications, vol. 12, no. 3, pp. 1654–1669, 2011, ISSN: 1468-1218.

BibTeX | Tags: Analysis, Applied Mathematics, Computational Mathematics, Econometrics and Finance, General Economics, General Engineering, General Medicine | Links:

2010

A local existence result for an optimal control problem modeling the manoeuvring of an underwater vehicle

Periago, Francisco; Tiago, Jorge

A local existence result for an optimal control problem modeling the manoeuvring of an underwater vehicle Journal Article

In: Nonlinear Analysis: Real World Applications, vol. 11, no. 4, pp. 2573–2583, 2010, ISSN: 1468-1218.

BibTeX | Tags: Analysis, Applied Mathematics, Computational Mathematics, Econometrics and Finance, General Economics, General Engineering, General Medicine | Links: