Tongtong Li

Tongtong Li

Postdoc

Dartmouth College

Biography

I am currently a postdoctoral research in the working group of Anne Gelb at the Department of Mathematics, Dartmouth College.

My research interests are in the numerical analysis and solution of partial differential equations (PDEs) with an emphasis on the development, theoretical analysis and computer implementation of numerical methods to approximate solutions of PDEs. In particular, I work on mixed finite element methods (MFEM), which form a special class of finite element methods (FEM) that approximate simultaneously several physical variables of interest. My research has been on the study of MFEM for the coupled problem arising in the interaction between free fluid flow and flow in deformable poroelastic medium, referred to as fluid-poroelastic structure interaction (FPSI).

Interests

  • Numerical Analysis
  • Solution of Partial Differential Equations
  • Finite Element Methods
  • Interaction of Fluid Flow and Poroelastic Media

Education

  • Doctor of Philosophy in Mathematics, 2021

    University of Pittsburgh

  • Master of Science in Mathematical Finance, 2016

    Rutgers, The State University of New Jersey

  • Bachelor of Economics, 2014

    Huazhong Agricultural University

Presentations

A cell-centered finite volume method for the Navier-Stokes/Biot model

A multipoint Stress-flux mixed finite element method for the Stokes-Biot model

Introduction to tree-based methods

Contact