3 papers
math.NA2026
The diffuse interface approximation to fluid-structure interaction
Francis R. A. Aznaran, Martina Bukač, Boris Muha
We consider a fluid-structure interaction problem in the Eulerian, phase-field formulation. The problem is described using the Navier--Stokes equations for a viscous, incompressibl…
math.NA2025
Splitting Method for a Multilayered Poroelastic Solid Interacting with Stokes Flow
Andrew Scharf, Martina Bukač, Sunčica Čanić
Multilayered poroelastic structures are found in many biological tissues such as cartilage and the cornea, and play a key role in the design of bioartificial organs and other bioen…
math.NA2020
A non-iterative domain decomposition method for the interaction between a fluid and a thick structure
Anyastassia Seboldt, Martina Bukač
This work focuses on the development and analysis of a partitioned numerical method for moving domain, fluid-structure interaction problems. We model the fluid using incompressible…