3 citations · 6 across the 6 of their papers we have counts for
6 papers
An augmented fully-mixed formulation for the quasistatic Navier--Stokes--Biot model
Tongtong Li, Sergio Caucao, Ivan Yotov
We introduce and analyze a partially augmented fully-mixed formulation and a mixed finite element method for the coupled problem arising in the interaction between a free fluid and…
Improving numerical accuracy for the viscous-plastic formulation of sea ice
Tongtong Li, Anne Gelb, Yoonsang Lee
Accurate modeling of sea ice dynamics is critical for predicting environmental variables and is important in applications such as navigating ice breaker ships. Research for both mo…
A slow blow up solution for the four dimensional energy critical semi linear heat equation
Tongtong Li, Liming Sun, Shumao Wang
We consider the energy critical four dimensional semi-linear heat equation \[ \partial_{t}v-Δv-v^{3}=0, \quad(t,x)\in \mathbb{R}\times \mathbb{R}^4. \] Formal computation of Filipp…
A multipoint stress-flux mixed finite element method for the Stokes-Biot model
Sergio Caucao, Tongtong Li, Ivan Yotov
In this paper we present and analyze a fully-mixed formulation for the coupled problem arising in the interaction between a free fluid and a flow in a poroelastic medium. The flows…
A mixed elasticity formulation for fluid-poroelastic structure interaction
Tongtong Li, Ivan Yotov
We develop a mixed finite element method for the coupled problem arising in the interaction between a free fluid governed by the Stokes equations and flow in deformable porous medi…
Non-Newtonian and poroelastic effects in simulations of arterial flows
Tongtong Li, Xing Wang, Ivan Yotov
In this paper, we focus on investigating the influence on hydrodynamic factors of different coupled computational models describing the interaction between an incompressible fluid…