Education

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1995: Degree in Mathematics, Universidad de Concepcion, Chile

1996: Mathematical Engineer, Universidad de Concepcion, Chile

1998: DEA en Analyse Numerique, Universite Pierre et Marie Curie (Paris 6), France.

2002: Doctorat en Sciences, Universite Paris Fauphine (Paris 9), France.

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Employment

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1996-2002 : Lecturer, Universidad de Concepcion, Chile

2002-2007:  Associate Professor, Universidade de Concepcion, Chile

2007-2012:  Lecturer, University of Strathclyde, Scotland

2012-2021:  Senior Lecturer, University of Strathclyde, Scotland

2021-        : Reader, University of Strathclyde, Scotland

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Extended Invited Positions

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• ICERM, Brown University, Providence, USA. February-March, 2024.

• Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin. May-June 2022.

• Laboratoire LAGA, Universite Paris 13, Paris, France. March 2022.

• Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany. September 2019. (within the RIP programme).

• Departamento de Ingenieria Mecanica, Universidad de Santiago de Chile, Santiago, Chile. July 2019.

• Laboratoire LAGA, Universite Paris 13, Paris, France. September 2018.

• Hausdorff Research Institute for Mathematics, Special Trimester Program in Multiscale Problems: Algorithms, Numerical Analysis and Computation, Bonn, Germany. March 2017.

• Departamento de Matematica, Universidad Tecnica Federico Santa Maria, Valparaiso, Chile. March  2016.

• Departamento de Matematica, Universidad Tecnica Federico Santa Maria, Valparaiso, Chile, April 2015.

• Laboratoire de Mathematiques de Besancon, Universite de Franche-Comte, Besancon, France, April 2013.

• Departamento de Matematicas Aplicadas, LNCC, Petropolis, Brazil, December 2010.

• Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany. August 2010.

• Departamento de Matematicas Aplicadas, LNCC, Petropolis, Brazil, July 2009.

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Fellowships and Grants

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Large grants as a PI:

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• PI, Leverhulme Trust Project Grant No. RPG-2021-238, 2022-2025: Tracking the high-Weissenberg number problem in non-Newtonian fluid mechanics. (£259,864)

• PI, Leverhulme Trust Research Fellowship: Polyhedral meshes and the discrete maximum principle. (£45,622).

• PI: LMS-EPSRC Durham Symposium proposal entitled: Building bridges: connections and challenges in modern approaches to numerical partial differential equations (Summer 2014). (£78,706.50).

• PI: EPSRC Science and Innovation Award No. EP/G036136/1, entitled: NAIS: Centre for Numerical Algorithms and Intelligent Software. (£1,057,840 ).

• PI: Leverhulme Trust Project Grant No. RPG-2012-483, 2012-2015, entitled Minimal stabilization procedures on anisotropic meshes and nonlinear schemes. (£188,037)

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Main smaller and travel grants:

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• PI, QJMAM grant to fund (partially) the participation in the Finite Element in Fluids Conference, Chicago, and visit to Brown University, both in the USA. (£1,000).

• CoI Brittish Council Grant to fund the visit by Mrs. Saba Irun (LUMS, Lahore, Pakistan) to Strathclyde. (£4,000).

• PI, Edinburgh Mathematical Society, to fund the visit by Profs. Volker John and Petr Knobloch, (£900).

• PI, Glasgow Mathematical Journal Trust, to fund the International Conference in Boundary and Interior Layers: BAIL 2018. (£3,500).

• PI, Edinburgh Mathematical Society Grant, to fund the International Conference in Boundary and Interior Layers: BAIL 2018. (£1,250).

• Co-PI (together with H. Gimperlein, S. White, and J. Farkas) Glasgow Mathematical Journal Trust, to fund the Second Joint meeting of the Edinburgh Mathematical Society and Societat Catalana de Matematiques. (£3,000)

• PI: Glasgow Mathematical Journal Trust, to fund the Third Scottish Partial Differential Equations Colloquium. (£3,000 ). (CoI. Lucia Scardia).

• PI: Glasgow City Marketing Bureau, to fund the Third Scottish Partial Differential Equations Colloquium. (£1,000 ). (CoI. Lucia Scardia).

• CoI (PI: Lucia Scardia): Edinburgh Mathematical Society, to fund the Third Scottish Partial Differential Equations Colloquium. (£1,200 ).

• CoI: Bridging the Gap grant entitled: Location of the human hip joint centre using mathematical modelling techniques. (£9,751).

• PI: London Mathematical Society Conference Grant N◦ 11011, for the organization of the VMS 2011 Workshop, (£3,200).

• CoI in the grant Alliance: Franco-British Partnership Programme 2011, Project Number: 10.003. (PI of the British component: Dr. Lyonell Boulton, Heriot-Watt University, Edinburgh). (£2,500)

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Major Conference Organisation

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• Organiser (together with Phillip Knight and Jennifer Pestana) of the Biennial Conference in Numerical Analysis, University of Strathclyde, Glasgow, June 27-30, 2023.

• Member of the Scientific Committee of the Intenational Conference: Applications of Mathematics. Czech Academy of Sciences, Prague, August 22-25, 2018.

• Organiser of the International Conference of Boundary and Interior Layers, BAIL 2018. University of Strathclyde, Glasgow, June 18-22, 2018.

• Organiser (together with H. Gimperlein, S. White, and J. Farkas) of the conference: Second Joint meeting of the Edinburgh Mathematical Society and Societat Catalana de Matematiques, ICMS, Edinburgh, September 27-29, 2017.

• Organiser (together with F. Brezzi, A. Cangiani and E. Georgoulis) of the LMS Durham Symposium: Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations. Durham University, Durham, UK, July 8-16, 2014.

• Organiser (together with L. Banjai, A. Cangiani and E. Georgoulis) of the Workshop: British Computational PDEs Colloquium: New Trends, ICMS, Edinburgh, UK, January 23-24, 2014.

• Organiser (together with E. Georgoulis, R. Davidchack and H. Dong) of the Workshop: Phase Field: Models, Applications and Software, An international Symposium, University of Leicester, Leicester, UK, September 9-11, 2013.

• Organiser of the workshop Variational Multiscale Methods: VMS 2011, University of Strathclyde, Glasgow, UK. June 9-10, 2011.

• President of the Organising Committee of the Second Chilean Workshop on Numerical Analysis of Partial Differential Equations, WONAPDE 2007, held at the Universidad de Concepcion, January 16-19, 2007.

• President of the Organising Committee of the First Chilean Workshop on Numerical Analysis of Partial Differential Equations, WONAPDE 2004, held at the Universidad de Concepcion, January 13-16, 2004.

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PhD and Postdoctoral Supervision

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Current PhD students

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• Hywel Normington. Modelling, analysis and simulation of magnetoelastic materials. October 2023-.

• Abdoloreza Amiri. Positivity-preserving finite element methods in non-Newtonian fluid mechanics. October 2022-.

• Katherine Mackenzie. Physically-consistent finite element methods in electrically-induced heating. October 2022-.

• Minhui Zhou. Finite element methods for coupled problems in fluid mechanics. March 2021-.

• Ana Catarina Gomes, (second supervisor, main supervisor Dr. Marco Fossati). Implementations of nonequilibrium models for energy exchange. University of Strathclyde, November 2018–.

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Former PhD students

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• Gaetano Pascarella, Computational Aerodynamics: Compressible vortex identification and evolution via reduced basis modelling. University of Strathclyde, November 2017 – December 2020.

• Abdulmohsen Alruwaili, (second supervisor, main supervisor Dr. Michael Grinfeld). Stability of patterns in an elastic bar. University of Strathclyde, October 2016 – March 2020.

• Heather Yorston. Mixed finite element methods for the convection- diffusion equation. University of Strathclyde, October 2012–June 2019.

• Michal Bosy, (joint supervisor, together with Dr. Victorita Dolean). Optimal domain decomposition algorithms in fluid mechanics. University of Strathclyde, January 2014–May 2017.

• Cheherazada Gonzalez. Stabilised finite element methods for fictitious domain problems. University of Strathclyde, October 2012–January 2017.

• Andreas Wachtel. Stabilised finite element methods on anisotropic meshes. University of Strathclyde, October 2012–December 2015.

• Omer Riaz, (main supervisor, following the depart of Prof. Mark Ainsworth). A new strategy for the parallel implementation of the finite element method: Applications to the convection-diffusion equation. University of Strathclyde, October 2012–February 2014.

• Alejandro Allendes, (main supervisor, co-guided with Mark Ainsworth). Towards fully computable error bounds for the incompressible Navier-Stokes equations. University of Strathclyde, February 2009- April 2012.

• Fiona Roberts, (Second supervisor, co-guided with Steven Webb). Cancer therapy: origin and application. University of Strathclyde, September 2008- December 2011.

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Postdoctoral Supervision

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• Fotini Karakatsani, November 2012 - November 2014.

• Omer Riaz, January 2014 - July 2014.

• Franz Chouly, October 2006 - October 2007.

• Fabrice Jaillet, September 2006 - September 2007.