The Bernardi-Fortin-Raugel element provides a specific finite element discretization method used to solve the Stokes problem in numerical analysis. This contribution represents a portion of the career of Geneviève Raugel, a mathematician who focused on partial differential equations and evolution equations throughout her tenure at the National Center for Scientific Research in France.
Academic Foundation
Geneviève Raugel was born in Strasbourg in 1951. She began her formal mathematical training in 1972 at the École normale supérieure de Fontenay-aux-Roses. By 1976, she obtained the agrégation in mathematics. Her doctoral studies were completed at the University of Rennes 1, where she earned her Ph.D. in 1978. Her thesis addressed the numerical resolution of elliptic problems in domains with edges.
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Upon completing her doctorate in 1978, Raugel secured a tenured position as a researcher at the National Center for Scientific Research (CNRS). She remained with the organization for the duration of her career, advancing to the role of research director, eventually reaching the exceptional class in 2014. From 1989, she conducted her work at the Orsay Math Lab, affiliated with the University of Paris-Sud.
International Collaboration
Raugel held visiting professorships at several international institutions, including the University of California, Berkeley, during 1986 and 1987, and Caltech in 1991. She was also a guest at the Fields Institute and the University of Hamburg. In 2013, she delivered the Hale Memorial Lectures in Atlanta. Additionally, she served as a co-director for the Journal of Dynamics and Differential Equations starting in 2005.
Research Trajectory
Initial research focused on numerical analysis and finite element discretization. Moving into the mid-1980s, her work shifted toward the dynamics of evolution equations. She achieved recognition as a world expert on the Navier-Stokes equations in thin domains. Her portfolio also included studies on bifurcation theory, global attractors, and perturbation theory, often produced in collaboration with researchers such as Jack Hale and Christine Bernardi.
Fast facts
- Born: 1951, Strasbourg
- Died: 2019, Clamart
- Citizenship: France
- Education: École normale supérieure de Fontenay-aux-Roses
- Primary Employer: National Center for Scientific Research
- Specialization: Numerical analysis and dynamical systems
Questions readers ask
What was the Bernardi-Fortin-Raugel element?
It is a finite element used for the numerical discretization of the Stokes problem.
Where did Geneviève Raugel conduct her primary research?
She worked at the Orsay Math Lab of the CNRS, affiliated with the University of Paris-Sud.
Achievements
- Held posts at National Center for Scientific Research and University of Paris-Sud
- Fields: dynamical system and numerical analysis
