Ana Maria Alonso Rodriguez

1988-1993: Ph. D. in Applied Mathematics.
Universidad Complutense de Madrid.
Advisor: Prof. Jose Carrillo.
Research in numerical approximation of free boundary problems.
1982-1987: Licenciatura en Ciencias Matematicas.
Universidad Complutense de Madrid.

From January 2020: full professor of Numerical Analysis. Department of Mathematics, Università degli Studi di Trento.

September 2012 - December 2019: associate professor of Numerical Analysis. Department of Mathematics, Università degli Studi di Trento. (Italian National Abilitation to the position of full professor in Numerical Analysis since August 2017.)

November 2003 - August 2012: assistant professor (ricercatore) of Numerical Analysis. Department of Mathematics, Università degli Studi di Trento.

February 2000 - October 2003: assistant professor (ricercatore) of Numerical Analysis. Department of Mathematics, Università degli Studi di Milano.

April 1999 - January 2000: research assistant (assegnista di ricerca). Department of Mathematics, Università degli Studi di Trento.

January 1996 - January 1998: post-doctoral fellow. Department of Mathematics, Università degli Studi di Trento.

November 1990 - September 1996: assistant professor (ayudante). Department of Applied Mathematics, Universidad Complutense de Madrid.

Teaching activity

Courses:

• Numerical methods for  PDE's: master course, Università degli Studi di Trento (2013/2014 - 2018/2019).
• Mathematical aspects of bioelectromagnetism and imaging: master course, Università degli Studi di Trento (2012/2013, 2013/2014 and 2015/2016-2024/2025).
• Analisi Numerica II: undergraduate-level course, Università degli Studi di Trento (2020/2021 -  2023/2024).
• Foundations of Computer Science and Numerical Methods, Università degli Studi di Trento (2015/2016).
• Numerical Calculus: undergraduate-level course, Università degli Studi di Trento (2007/2008 - 2012/2013).
• Finite Elements (II): master course, Universidad de Santiago de Compostela (2009/2010, 2010/2011).
• Calculus I: undergraduate-level course, Università degli Studi di Trento (2005/2006- 2007/2008).
• Numerical Analysis: undergraduate-level course, Università degli Studi di Trento (2004/2005 - 2006/2007).
• Numerical Approximation of PDE's: the Finite Element Method, PhD course, Università degli Studi di Trento (2004/2005).
• Mathematical Analysis (I): undergraduate-level course, Università degli Studi di Trento (2004/2005).
• Numerical Analysis: undergraduate-level course, Università degli Studi di Milano (2000/2001-2002/2003).
• Implementation of FEM method: the MODULEF library: PhD course, Universidad Complutense de Madrid (1993/1994 - 1995/1996).
• Numerical Analysis: undergraduate-level course, Universidad Complutense de Madrid (1993/1994 - 1995/1996).

Tutorials:

• Mathematical methods for engineering (with FreeFem): PhD course, Università degli Studi di Trento (2004/2005 - 2023/2024).
• Analisi Numerica I (with MATLAB): undergraduate-level course, Università degli Studi di Trento (2013/2014 - 2020/2021).
• Numerical methods for hyperbolic equations and applications: PhD course, Università degli Studi di Trento (2003/2004 and 2004/2005).
• Numerical Analysis (with MATLAB): undergraduate-level course, Università degli Studi di Milano (1999/2000 - 2003/2004).
• Numerical Analysis (with OCTAVE): undergraduate-level course, Università degli Studi di Trento (2001/2002).
• Approximation Methods (with MATLAB): undergraduate-level course, Università degli Studi di Milano (2001/2002).
• Industrial Automation (with ArcView GIS): undergraduate-level course, Università degli Studi di Trento (1997/1998, 1998/1999).
• Calculus I: undergraduate-level course, Università degli Studi di Trento (1997/1998, 1998/1999).
• Calculus II: undergraduate-level course, Università degli Studi di Trento (1994/1995).

Numerical approximation of partial differential equations. Computational electromag- netism. Finite element methods. Finite element exterior calculus. Computational geome- try. Inverse problems. Discontinuous Galerkin methods. Domain decomposition methods.

Talks and seminars

• Tree-cotree Decomposition for High Order Whitney Finite Elements. ECCOMAS 2024, Lisbon, June, 3-7 2024. 
• High order Whitney finite elements: geometrical degrees of freedom. Invited lecture within the BIRS 5-days workshop“Homological Perspective on Splines and Finite Elements” Kelowna, May, 20-24 2024.
• Geometrical degrees of freedom for high order Whitney forms. ICIAM 2023 - Tokyo - August 20-25 2023. 
• A tree-cotree technique for the approximation of the spectrum of the curl operator.  PICNDEA22, Evora, July 4-6 2022. (Online participation.)
• High order Whitney finite elements: degrees of freedom and interpolation. XXVI CEDYA/ XVI/CMA, Gijón, June 14-18 2021. (Online participation.)
• On the computation of the eigenvalues of the curl operator. Seminario de Análisis Numérico y Modelación Matemática, CI2MA-UBB Concepción (held online), December 15  2020.
• On the computation of the eigenvalues of the curl operator. DD XXVI, held online, December 7-12 2020.
• Graph techniques for high order discrete potentials. WONAPDE 2019, Concepcion, January 2019.
• High order discrete potentials. Mini-Workshop: Mathematical and Numerical Analysis of Maxwell's Equations. Oberwolfach, December 2018.
• Tree techniques for high order discrete potentials. ICOSAHOM 2018, London, July 2018.
• High order divergence free finite element basis. ECMI Conference. Budapest, June 2018.
• High order Whitney forms and discrete potentials. Invited talk at the Department of Applied Mathematics, Universidade de Santiago de Compostela, 30th May 2018.
• Electromagnetismo Computacional. Ten hours master/PhD course. Institute for Mathematical and Computational Engineering. Pontifica Unversidad Cátolica de Chile, July 2017.
• The discrete relations between fields and potentials with high order Whitney forms. Santiago Numerico III. Noveno Encuentro de Analisis Numerico de Ecuaciones Diferenciales Parciales. Santiago, Chile,  June 2017.
• Computational electromagnetism, numerical analysis and topology. IV Encuentro Conjunto RSME-SMM. Valladolid, June 2017
• Efficient construction of 2-chains with prescribed boundary and some applications in electromagnetism. Workshop Analysis and Numerics of Acoustic an Electromagnetic Problems. RICAM, Linz, October 2016.
• Finite element potentials. Invited talk at Laboratoire de Mathématiques J. A. Dieudonné, Université de Nice Sophia-Antipolis, September 2016.
• DG-FEM and coupling DG-FEM and BEM for time harmonic eddy current problems. ICOSAHOM 2016, Rio de Janeiro, June 2016.
• Computational homology and some applications in electromagnetism. Invited talk at the Department of Mathematics, Università di Pavia, April 2016.
• Construction of homological Seifert surfaces and some applications in electromagnetism. WONAPDE 2016, Concepcion, January 2016.
• Finite element simulation of eddy current problems using magnetic scalar potentials. Journee d'echanges en electromagnetisme numerique. Université de Nice Sophia-Antipolis, December 2015.
• Simulazione con elementi finiti del problema delle correnti indotte usando potenziali scalari magnetici. XX Congresso U.M.I., Siena, September 2015.
• Finite element methods for electromagnetic problems. PhD lesson. Department of Mathematics, Università di Bologna, May 2015
• A novel implementation of the H-based formulation of the eddy current model. Conference Latest Advances in Numerical Solutions with FEM, Puerto Varas, September 2014.
• A novel implementation of the H-based formulation of the eddy current model. Convegno SIMAI 2014, Taormina, July 2014.
• Inverse source problems for eddy current equations. Applied Inverse Problem Conference, Daejeon, July 2013.
• The linking number magic. 8th workshop on Advanced Computational Electromagnetics (ACE2013), Trento, June 2013.
• Finite element construction of dicrete harmonic fields. WONAPDE 2013, Concepcion, January 2013.
• El problema de las corrientes inducidas. Seminario de Analisis Numerico y Modelacion Matematica, CI2MA Concepcion, December 18, 2012.
• Finite element construction of discrete harmonic fields.  21th Conference on Domain Decomposition Methods, Rennes, June 2012.
• Inverse source problems for eddy current equations.  7th worhshop on Advanced Computational Electromagnetics (ACE2012), Karlsruhe, March 2012.
• Iterative methods for the saddle-point problem arising from the ${\bf H}_C/{\bf E}_I$ formulation of the eddy current model. Second CI$^2$MA Focus Seminar: Computational Electromagnetism. Concepción, January 2012.
• Domain decomposition methods for eddy current problems. La Serena Numerica I. Sexto encuentro de An\'alisis Num\'erico de Ecuaciones Diferenciales Parciales. La Serena, December 2011.
• Inverse source problems for eddy current equations. Workshop on Numerical Electromagnetics and Industrial Applications (NELIA 2011), Santiago de Compostela, October 2011.
• Inverse source problems for eddy current equations. Conference  on Partial Differential Equations in Mathematical Physics and their Numerical Approximation, Levico, September 2011.
• Domain decomposition methods for Maxwell equations. 20th Conference on Domain Decomposition Methods, San Diego, February 2011.
• Voltage and current excitation for eddy-current problems. Convegno SIMAI 2010, Cagliari, July 2010.
• Domain decomposition methods for eddy current problems. Emerging Topics in Dynamical Systems and Partial Differential Equations - DSPDEs'10 - Barcelona, June 2010.
• El problema de las corrientes inducidas con intensidad de corriente o voltaje asignado. Invited talk at the Department of Mathematics, Universidad de A Coruna, February 2010.
• Different formulations of the voltage or current intensity excitation problem for the eddy-current approximation of Maxwell equations. WONAPDE 2010, Concepción, January 2010.
• Eddy current problems: different choices of the main unknown in the conductor and the insulator. SIAM Conference on Analysis of Partial Differential Equations, Miami,  December 2009.
• Iterative methods for the Hc/Ei formulation of time-harmonic eddy current problems. 19th Conference on Domain Decomposition Methods, Zhagjiajie, August 2009.
• Voltage and current excitation for time-harmonic eddy-current problems. ENUMATH 09, Uppsala, July 2009.
• Metodi iterativi per la formulazione Hc/Ei del problema delle correnti indotte. Convegno GNCS 2009, Montecatini, February 2009.
• A new formulation of the eddy current problem in the presence of electric ports. ENUMATH 07, Graz, September 2007.
• Hybrid finite element approximation of eddy current problems. ENUMATH 05, Santiago de Compostela, July 2005.
• Mixed finite element approximation of eddy current problems based on the electric field. ECCOMAS 04, Jyvaskyla, July 2004.
• Formulazioni ibride e miste del modello delle correnti indotte. Convegno GNCS 2004, Montecatini, February 2004.
• Mixed Formulation of Eddy Current Problems. ICIAM 2003, Sydney, July 2003.
• Mixed Formulation of Eddy Current Problems. Workshop on Problems in Electromagentism, Universita` di Trento (2002).
• Domain decomposition algorithms for time-harmonic Maxwell equations: numerical results. ENUMATH 2001, Ischia, July 2001.
• Domain decomposition methos for time-harmonic Maxwell equations: numerical results. Workshop on Domain Decomposition, ETH Zurich, June 2001.
• Domain decomposition algorithms for time-harmonic Maxwell equations: the high frequency case. SIMAI 2000, Ischia, July 2000.
• Domain decomposition methos for non symmetric problems. Invited talk at the Department of Mathematics, Universita` degli Studi di Milano (2000).
• Domain decomposition methos for time-harmonic Maxwell equations. Invited talk at the Department of Applied Mathematics, Universita` di Pisa (1999).
• Domain decomposition methos for heterogeneous time-harmonic Maxwell equations. Workshop on Domain Decomposition and Multifields in Fluid and Solid Mechanics, AMIF (European Science Foundation) -- University of Stuttgart (1997).
• The domain decomposition method: some applications. Invited talk at the Department of Applied Mathematics, Universidad Complutense de Madrid (1995).
• Domain decomposition methods for Maxwell equations. Invited talk at the Department of Mathematics, Politecnico di Milano (1995).
• On the evolution dam problem: theoretical aspects and numerical results. Invited talk at the Department of Mathematics, Universita` degli Studi di Trento (1994).
• Numerical solution of the semilinear heat equation with strong absorption. XII CEDYA /II Congress on Applied Mathematics, Oviedo, September 1991.

Coorganizer of the Oberwolfach workshop Hilbert Complexes: Analysis, Applications, and Discretizations joint with Douglas N. Arnold, Dirk Pauly, and Francesca Rapetti, June 19-25, 2022

Coorganizer of the minisymposium "High order methods in computational electromagnetism" - ICOSAHOM 2018, July 9-13, London, UK.

Coorganizer of the minisymposium "Structure preserving discretizations and high order finite elements for differential forms" - Enumath 2017, September 25-29, 2017, Voss, Norway.

Coorganizer of the minisymposium "Computational electromagnetism" - Convegno ECMI 2016, June 13-17, 2016, Santiago de Compostela, Spain.

Coorganizer of the conference Fluid dynamic and Electromagnetism: Theory and Numerical approximation, Levico, June 2014.

Coorganizer of the 8th workshop on Advanced Computational electromagnetics (ACE2013), Trento.

Coorganizer of the minisymposium "Computational electromagnetics and industrial applications" - Convegno SIMAI 2010, Cagliari.

Teaching staff International Credit Mobility: Istitute for Mathematical and Computational Engineering. Pontificia Universidad Católica de Chile from 30/06/2017 to 07/07/2017

Visiting professor, Laboratoire de Mathématiques J. A. Dieudonné, Université de Nice Sophia-Antipolis for a month during the academic year 2016/2017 and a month during the academic year 2017/2018.

Invited researcher, Centro de Investigacion en Ingenieria Matematica of the Universidad de Concepcion (Chile) durig the periods, January 6-26 2019,  January 4-26 2016, August 19 - September 7 2014, December 13, 2012 - January 20 2013 and December 10, 2011 - January 8, 2012.

Visting professor, Universidad de Santiago de Compostela, January 2011 and February 2010.

Referee for: Applied Mathematical Modelling, Applied Numerical Mathematics, Computer Physics Communications, IMA Journal of Numerical Analysis; Ingenieria y Ciencia; International Journal of Numerical Analysis and Modeling; Journal of Computational and Applied Mathematics; Journal of Computational Physics; Mathematics of Computation; National Fund for Scientific and Technological Developmente of Chile, Numerical Methods for Partial Differential Equations, Numerical Linear Algebra with Applications, Numerische Mathematik; SIAM Journal on Numerical Analysis; Swiss National Science Foundation; Swiss Federal Institute of Technology Zurich.