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math.NA2026
A Coupled Fluid Naghdi Shell Windkessel Model for Pulmonary Artery Banding: Partitioned Numerical Scheme and Parameter Estimation
Yifan Wang, Josip Tambaca, Suncica Canic
We develop a 3D fluid structure interaction model for blood flow through deformable vessels with localized constrictions, motivated by pulmonary artery banding in neonates with con…
math.NA2026
Second order explicit splitting scheme for fluid-poroelastic structure interaction problems
Yifan Wang, Jeonghun Lee, Suncica Canic
Efficient and provably accurate partitioned methods for fluid-poroelastic structure interaction remain challenging because explicit treatment of the Stokes-Biot interface coupling…
math.NA2026
Error Analysis of the Explicit Splitting Scheme for Fluid-Poroelastic Structure Interaction Problems
Yifan Wang, Jeonghun Lee, Suncica Canic
We present a priori error analysis for a fully discrete, parallelizable, explicit loosely coupled scheme for the time-dependent Stokes-Biot problem. The method decouples the fluid…