Azahar MongeAzahar Monge holds a Postdoctoral position at the ERC Advanced Grant project DyCon under the supervision of Prof. Enrique Zuazua (UAM and DeustoTech). Before that, she earned her PhD in Numerical Analysis at the Centre for Mathematical Sciences, Lund University(Sweden) under the supervision of Prof. Philipp Birken.

“My research interests are in the numerical analysis of Partial Differential Equations. During my PhD I have been focused on the numerical aspects arising in the partitioned simulation of thermal fluid-structure interaction becoming familiar with domain decomposition methods and time adaptive multirate time integration methods. At the moment, I am moving towards inverse design of time-irreversible models using optimal control techniques.”

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  azahar.monge@deusto.es
  (+34) 944 139 003 Ext.: 3282

Education

  • Doctoral Degree in Numerical Analysis (Nov 2013 – Sep 2018), Centre for Mathematical Sciences, Lund University, Sweden.
  • Licentiate Degree in Numerical Analysis (Nov 2013 – Sep 2016), Centre for Mathematical Sciences, Lund University, Sweden.
  • Erasmus Mundus MSc MATHMODS: Mathematical Modelling in Engineering: Theory, Numerics, Applications (Sep 2011 – Sep 2013), University of L’Aquila, University of Hamburg, Autonomous University of Barcelona, Italy – Germany – Spain.
  • Bachelor’s Degree in Mathematics (Sep 2007 – Jun 2011), Autonomous University of Barcelona, Spain.

PhD Thesis

Partitioned methods for time-dependent thermal fluid-structure interaction

Advisor: Prof. Philipp Birken – Centre for Mathematical Sciences – Lund University – Lund, Sweden.
Description: The efficient simulation of thermal interaction between fluids and structures is crucial in the design of many industrial products, e.g. turbine blades or rocket nozzles. The main goal of this work is to present a high order time adaptive multirate parallel partitioned coupled method for the efficient numerical solution of two parabolic problems with strong jumps in the material coefficients that can be further extended to thermal fluid-structure interaction simulation.

Licentiate Thesis

The Dirichlet-Neumann iteration for unsteady thermal fluid-structure interaction

Advisor: Prof. Philipp Birken – Centre for Mathematical Sciences – Lund University – Lund, Sweden.
Description: In this thesis we analyze the convergence rate of the Dirichlet-Neumann iteration for the fully discretized unsteady transmission problem. Specifically, we consider the coupling of two linear heat equations on two identical non overlapping domains with jumps in the material coefficients across these as a model for thermal fluid structure interaction.

Master’s Thesis

Numerical Solutions of Macroscopic Equations for Multiphase Flows in Porous Media

Advisor:
Description: The objective of the thesis is to solve numerically the initial and boundary value problems posed, discussed and solved quasi-analytical earlier using the open source computational fluid dynamics package OpenFOAM.

Monograph

  • A. Monge: Partitioned methods for time-dependent thermal fluid-structure interaction, PhD Thesis, Lund University, 2018, Pdf
  • A. Monge: The Dirichlet-Neumann iteration for unsteady thermal fluid-structure interaction, Licentiate Thesis, Lund University, 2016, Pdf
  • Conference Proceedings

  • A. Monge, P. Birken: Towards a time adaptive Neumann-Neumann waveform relaxation method for thermal fluid-structure interaction, submitted to DD25, Pdf 
  • A. Monge, P. Birken: Convergence Analysis of the Dirichlet-Neumann Iteration for Finite Element Discretizations, PAMM 16, pp. 733-734, Pdf 
  • A. Monge, P. Birken: Convergence analysis of coupling iterations for the unsteady transmission problem with mixed discretizations, in M. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris (eds.), ECCOMAS Congress 2016, VII European Congress on Computational Methods in Applied Sciences and Engineering, Vol. 1, pp. 1530-1544, Pdf
  • A. Monge, P. Birken: Convergence speed of coupling iterations for the unsteady transmission problem, in B. Schrefler, E. Oñate and M. Papadrakakis (eds.), COUPLED PROBLEMS 2015, VI International Conference on Computational Methods for Coupled Problems in Science and Engineering, pp. 452-463, Pdf 
  • Book Chapters

  • P. Birken, A. Monge: Numerical Methods for Unsteady Thermal Fluid Structure Interaction, in S. Frei, B. Holm, T. Richter, T. Wick and H. Yang (eds), Fluid-Structure Interaction. Modeling, Adaptive Discretisations and Solvers, Contributions in Mathematical and Computational Sciences, Springer, 2017, pp. 129-168Pdf
  • Teaching Assistant

  • Computational Part for Chemical Engineering KETA01
  • Numerical Part of Calculations in Biotechnology KKKA10
  • Computational Mathematics with Python NUMA22
  • Computational Programming with Python NUMA01
  • Numerical Linear Algebra FMNN01
  • Numerical Methods for Differential Equations FMNN10
  • Numerical Analysis for Computer Scientists FMN011
  • Domain Decomposition Methods, Graduate Course
  • Publications

    Released

    1. A. Monge, P. Birken On the convergence rate of the Dirichlet–Neumann iteration for unsteady thermal fluid–structure interaction.
      Computational Mechanics, 62(3), 2018, pp. 525-541, doi.org/10.1007/s00466-017-1511-3

    2. Accepted