Vivette Girault (born 1943) [1] is a French mathematician, whose research expertise lies in numerical analysis, finite element methods and computational fluid dynamics. She has been affiliated with Pierre and Marie Curie University. [2]
Girault, was born in Nice, France, and attended high school in Caracas, Venezuela, received her bachelor's degree from McGill University in Montreal, Canada. After her undergraduate studies, Girault returned to France to study numerical analysis. She joined the applied mathematics faculty at the Université Paris, which was renamed the Université Pierre et Marie Curie (UPMC) and is currently known as Sorbonne Université. [3] Girault was named professor emerita at the Sorbonne Université, CNRS, Laboratoire Jacque-Louis Lions, Paris, France. [2]
Girault served on the editorial board of the American Mathematical Society journal Mathematics of Computation from 2006 to 2017. [4]
Girault was selected by the Association for Women in Mathematics (AWM) and the Society for Industrial and Applied Mathematics (SIAM) to be the 2021 AWM-SIAM Sonia Kovalevsky Lecturer. She will deliver the lecture "From linear poroelasticity to nonlinear implicit elastic and related models" and receive the accompanying award at the SIAM annual meeting in Spokane, Washington in July 2021. [3]
Computational fluid dynamics (CFD) is a branch of fluid mechanics that uses numerical analysis and data structures to analyze and solve problems that involve fluid flows. Computers are used to perform the calculations required to simulate the free-stream flow of the fluid, and the interaction of the fluid with surfaces defined by boundary conditions. With high-speed supercomputers, better solutions can be achieved, and are often required to solve the largest and most complex problems. Ongoing research yields software that improves the accuracy and speed of complex simulation scenarios such as transonic or turbulent flows. Initial validation of such software is typically performed using experimental apparatus such as wind tunnels. In addition, previously performed analytical or empirical analysis of a particular problem can be used for comparison. A final validation is often performed using full-scale testing, such as flight tests.
Numerical methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs).
Fluid mechanics is the branch of physics concerned with the mechanics of fluids and the forces on them. It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical, and biomedical engineering, as well as geophysics, oceanography, meteorology, astrophysics, and biology.
Finite element exterior calculus (FEEC) is a mathematical framework that formulates finite element methods using chain complexes. Its main application has been a comprehensive theory for finite element methods in computational electromagnetism, computational solid and fluid mechanics. FEEC was developed in the early 2000s by Douglas N. Arnold, Richard S. Falk and Ragnar Winther, among others. Finite element exterior calculus is sometimes called as an example of a compatible discretization technique, and bears similarities with discrete exterior calculus, although they are distinct theories.
The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. Computers are usually used to perform the calculations required. With high-speed supercomputers, better solutions can be achieved, and are often required to solve the largest and most complex problems.
Victor Yakovlevich Pan is a Soviet and American mathematician and computer scientist, known for his research on algorithms for polynomials and matrix multiplication.
Roland Glowinski was a French-American mathematician. He obtained his PhD in 1970 from Jacques-Louis Lions and was known for his work in applied mathematics, in particular numerical solution and applications of partial differential equations and variational inequalities. He was a member of the French Academy of Sciences and held an endowed chair at the University of Houston from 1985. Glowinski wrote many books on the subject of mathematics. In 2012, he became a fellow of the American Mathematical Society.
In applied mathematics, the finite pointset method (FPM) is a general approach for the numerical solution of problems in continuum mechanics, such as the simulation of fluid flows. In this approach the medium is represented by a finite set of points, each endowed with the relevant local properties of the medium such as density, velocity, pressure, and temperature.
Model order reduction (MOR) is a technique for reducing the computational complexity of mathematical models in numerical simulations. As such it is closely related to the concept of metamodeling, with applications in all areas of mathematical modelling.
Thomas Yizhao Hou is the Charles Lee Powell Professor of Applied and Computational Mathematics in the Department of Computing and Mathematical Sciences at the California Institute of Technology. He is known for his work in numerical analysis and mathematical analysis.
Olivier Pironneau is a French mathematician who is a professor at the Université Pierre et Marie Curie and member of the French Academy of Sciences.
In applied mathematics, Raviart–Thomas basis functions are vector basis functions used in finite element and boundary element methods. They are regularly used as basis functions when working in electromagnetics. They are sometimes called Rao-Wilton-Glisson basis functions.
Adhemar François Bultheel is a Belgian mathematician and computer scientist, the former president of the Belgian Mathematical Society. He is a prolific book reviewer for the Bulletin of the Belgian Mathematical Society and for the European Mathematical Society. His research concerns approximation theory.
Anne Marie Leggett is an American mathematical logician. She is an associate professor emerita of mathematics at Loyola University Chicago.
Fioralba Cakoni is an American-Albanian mathematician and an expert on inverse scattering theory. She is a professor of mathematics at Rutgers University.
Hilary Ockendon is a British mathematician who worked at the University of Oxford until retirement in 2008. Her research focuses on applications of mathematics with a particular interest in continuum models for industrial problems. She is an emeritus fellow of Somerville College, Oxford, the former president of the European Consortium for Mathematics in Industry, and the author of multiple books on fluid dynamics. She is an expert on problems in fluid dynamics, such as the reduction of sloshing in coffee cups.
Nail Hairullovich Ibragimov was a Russian mathematician and mathematical physicist. At his death he was a professor emeritus at the Blekinge Institute of Technology. Ibragimov's research area was differential calculus, group analysis and mathematical physics. He was the author of many books on mathematics and mathematical physics.
Anders Szepessy is a Swedish mathematician.
Christoph Schwab is a German applied mathematician, specializing in numerical analysis of partial differential equations and boundary integral equations.
Jean-Yves Chemin is a French mathematician, specializing in nonlinear partial differential equations.
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