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

张晨松 研究员

Quasi-optimal and pressure robust discretizations of the Stokes equations

September 23 (Wednesday) 10:00-11:00, S315

We introduce some new discretizations of the stationary Stokes equations based on general, possibly nonconforming, inf-sup stable pairs of finite element spaces on simplicial meshes. The discretizations are carefully defined in order to achieve the following error estimates. The velocity H^1-error is proportional to the corresponding best error within the discrete velocity space and the sum of the velocity H^1-error and of the pressure L^2-error is proportional to the sum of the respective best errors. The first estimate, in particular, was previously obtained only by discretizations with the so-called conforming and divergence-free pairs. Extending one such discretization to the nonlinear p-Stokes equations yields improved rates of convergence in comparison with state-of-art results.

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。