Pietro Zanotti, Associate Professor, Dipartimento di Matematica, Universita degli Studi di Milano, Italy

张晨松 研究员

Inf-sup theory for quasi-static poroelastic models

September 21 (Monday) 10:00-11:00, S615

Quasi-static poroelastic models describe the flow of a fluid inside an elastic porous medium. Such models have attracted growing attention in recent years because of their wide range of applications. The most well-established techniques for both the analysis and the discretization of these problems build either on the so-called Faedo-Galerkin method or on the theory of implicit evolution equations. The talk introduces and motivates an alternative technique, based on the inf-sup theory. The proposed approach, in contrast to previous ones, aims at establishing an isomorphism between the solution and the data spaces, which is a desirable property for the design, the stability and the error analysis of discretization schemes. Advantages and current limitations of this approach are illustrated by means of new results and open problems.  

报告人简介:Pietro Zanotti，米兰大学 F. Enriques 数学系副教授。本科、硕士、博士均毕业于米兰大学，本硕阶段获满分加荣誉，博士师从 Andreas Veeser 教授。先后于帕维亚大学、多特蒙德工业大学、萨塞克斯大学开展博士后研究，2024‑2026 年担任米兰大学终身轨道研究员，后晋升副教授。主要研究偏微分方程非协调有限元方法、Biot 多孔弹性方程、Stokes 方程压力鲁棒离散、后验误差估计、不确定性量化与替代模型，成果发表于*Math. Comp.*、SIAM 系列高水平期刊。