主讲人 Speaker:Susanne C. Brenner (Louisiana State University)
时间 Time:Tues. & Thur., 10:30-11:30 am, June 9 & June 11, 2026
地点 Venue:Room LG1-16, Jianhua Building
课程日期:2026-06-09/2026-06-11
Talk 1 (Public Lecture)
Title: Computational Mathematics
Abstract: This is a general talk about computational mathematics. We will trace its fascinating history from ancient times to modern day in terms of people, machines and algorithms. We will discuss the goals and practices of computational mathematics, and the challenges and opportunities that it provides.
Talk 2
Title: Nonlinear least-squares finite element methods for the Monge-Ampere equation in two dimensions
Abstract: We present nonlinear least-squares finite element methods for computing smooth solutions of the Monge-Ampere equation in two dimensions. It is based on exotic finite elements that can enforce the elementwise convexity of the approximate solutions. We will present the error analysis together with some numerical results and discuss possible extensions.
Bio:
Susanne C. Brenner is a Boyd Professor at Louisiana State University in the United States of America. She received her Ph.D. from the University of Michigan in 1988. Her research is in finite element methods for the numerical solutions of elliptic partial differential equations that include fast solvers, computational mechanics, computational electromagnetics, fourth order variational inequalities, optimization constrained by partial differential equations, fully nonlinear partial differential equations and multiscale problems. She is a coauthor of the influential text The Mathematical Theory of Finite Element Methods (Springer 1994, 2002, 2008). She was awarded a Humboldt-Forschungspreis from the German Alexander von Humboldt Foundation in 2005 (and reinvitation in 2023) and a Blaise Pascal Medal from the European Academy of Sciences in 2025. She gave the Sonia Kovalevsky Lecture (Association for Women in Mathematics - Society for Industrial and Applied Mathematics) in 2011, the Babuška Lecture (Mathematics of Finite Element and Applications International Conference) in 2013 and the Feng Keng Distinguished Lecture (Academy of Mathematics and System Science, Chinese Academy of Sciences) in 2024. She is an invited speaker at the International Congress of Mathematicians in 2026. She is a fellow of the Society for Industrial and Applied Mathematics (2010), American Association for the Advancement of Science (2012), American Mathematical Society (2013), and Association for Women in Mathematics (2020). She is a member of the European Academy of Sciences (2025). During 2021-2022 she served as President of the Society for Industrial and Applied Mathematics. She was the managing editor of Mathematics of Computation from February 2012 to January 2024 and has served on the editorial boards of many journals that include the SIAM Journal of Numerical Analysis (1997-2002, 2005-2025) Mathematics of Computation (1993-present) and Numerische Mathematik (1998-present).

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