Contact

Rutger Biezemans
CERMICS, École Nationale des Ponts et Chaussées
6 et 8, av. Blaise Pascal
Cité Descartes – Champs-sur-Marne
77455 Marne-la-Vallée Cedex 2
France

E-mail: rutger (dot) biezemans (at) enpc (dot) fr

I am a 3rd year PhD student in the MATHERIALS team at CERMICS/Inria under the supervision of Claude Le Bris, Alexei Lozinski and Frédéric Legoll.

PhD topic: “Difficult” multiscale problems and non-intrusive methods.
During my PhD project, I am looking into numerical methods of MsFEM type, in particular for multiscale non-self-adjoint problems such as the advection-diffusion equation. Ways to make these methods as little intrusive as possible will also be considered.

GitHub

This GitHub repository contains the code that I develop for my research on MsFEM methods.

Pre-prints

• Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods
  Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll and Alexei Lozinski
  [arXiv:2211.17024]  [HAL-03884721]

Publications

Multiscale finite element methods

• Non-intrusive implementation of Multiscale Finite Element Methods: An illustrative example
  Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll and Alexei Lozinski
  J. Comput. Physics 447 111914 (2023)  [doi]  [arXiv:2204.06852]  [HAL-03643103]

Generalized mode-coupling theory (some work carried out during my studies at Eindhoven University of Technology)

• Glassy dynamics from generalized mode-coupling theory: Existence and uniqueness of solutions for hierarchically coupled integro-differential equations
  Rutger A. Biezemans, Simone Ciarella, Onur Caylak, Björn Baumeier, and Liesbeth M. C. Janssen
  J. Stat. Mech. 2020, 103301 (2020)  [doi]  [arXiv:2006.04476]
• Understanding, predicting, and tuning the fragility of vitrimeric polymers
  Simone Ciarella, Rutger A. Biezemans, and Liesbeth M. C. Janssen
  Proc. Natl. Acad. Sci. USA 116, 25013 (2019)  [doi]  [arXiv:1910.00468]

Talks

• Some technicalities in the convergence proof of linear MsFEM.
  French-German Workshop on Multiscale Problems, Augsburg University (2020, online, organised by Robert Altmann and Daniel Peterseim).
• Some aspects of the analysis of MsFEM methods.
  Congrès d’Analyse Numérique pour les Jeunes – 2020, Société de Mathématiques Appliquées et Industrielles (online).
• Introduction to multiscale finite element methods.
  CERMICS Young Researchers Seminar (2021, online).
• Some numerical methods for advection-dominated multi-scale problems.
  Journée des doctorants de l’ÉD MSTIC (2021, online).
• Multi-scale finite element methods for advection-diffusion problems.
  10ième Biennale Française des Mathématiques Appliquées et Industrielles, Société de Mathématiques Appliquées et Industrielles, La Grande Motte, France (2021).
• MsFEM for advection-diffusion problems
  Second French-German Workshop on Multiscale problems, Laboratoire de Mathématiques Besançon (2021, organised by Alexei Lozinski).
• Improved multiscale finite element methods for advection-diffusion problems.
  CERMICS Young Researchers Seminar, Champs-sur-Marne, France (2022).
• Improved multiscale finite element methods for advection-diffusion problems.
  ECCOMAS Congress 2022, Oslo, Norway.
• Non-intrusive implementation of multiscale finite element methods.
  CANUM 2020(+2), Evian-les-Bains, France (2022).
• Improved multiscale finite element methods for advection-diffusion problems.
  SciCADE 2022, Reykjavík, Iceland.
• Homogenization with FreeFEM.
  Journées Scientifiques des Jeunes du CERMICS, Provins, France (2022).

Teaching activity

• Analysis and scientific computing for undergraduate engineering students at the ENPC (Fall semester 20/21, 21/22, 22/23).
  I thaught classes in a flipped classroom, in English and in French.
• Partial differential equations and finite element methods for undergraduate engineering students at the ENPC (Spring semester 20/21).
  I led weekly exercise sessions and classes for one group of students, in English.
• Equations aux Dérivées Partielles : Approches Variationnelles for undergraduate engineering students at the ENPC (Spring semester 21/22).
  I led weekly exercise sessions and classes for one group of students, in French.