2 papers
math.NA2026
Convergence analysis and a novel Lagrange multiplier partitioned method for fluid-poroelastic interaction
Amy de Castro, Hyesuk Lee
We propose a partitioned method for the monolithic formulation of the Stokes-Biot system that incorporates Lagrange multipliers enforcing the interface conditions. The monolithic s…
math.NA2025
Well-posedness of a novel Lagrange multiplier formulation for fluid-poroelastic interaction
Amy de Castro, Hyesuk Lee
We introduce a novel monolithic formulation that employs Lagrange multipliers (LMs) to couple a fluid flow governed by the time-dependent Stokes equations with a poroelastic struct…