Seminar
Linear regression with overparameterized linear neural networks: Tight upper and lower bounds for implicit ℓ^1-regularization
Necessary and Sufficient Expander Properties that Lead to Synchrony in Digraphs -- Theory and Simulations
On Linearly or Uniformly Continuous Surjections Between Cp-Spaces
Introduction to D-Modules
Convergence Rate for Langevin Dynamics with Different Potentials
Normality in Semi-Proximal Spaces
A Robin-Robin splitting method for the Stokes-Biot fluid-poroelastic structure interaction model
We develop and analyze a splitting method for fluid-poroelastic structure interaction. The fluid is described using the Stokes equations and the poroelastic structure is described using the Biot equations. The transmission conditions on the interface are mass conservation, balance of stresses, and the Beavers-Joseph-Saffman condition. The splitting method involves single and decoupled Stokes and Biot solves at each time step. The subdomain problems use Robin boundary conditions on the interface, which are obtained from the transmission conditions.