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20122026
most citedExistence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls

178 citations · 316 across the 39 of their papers we have counts for

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Showing 2024 · math.NAShow all

2 papers · 2 filters

math.NA2024

Analysis and finite element approximation of a diffuse interface approach to the Stokes--Biot coupling

Francis R. A. Aznaran, Martina Bukač, Boris Muha +1

We consider the interaction between a poroelastic structure, described using the Biot model in primal form, and a free-flowing fluid, modelled with the time-dependent incompressibl…

math.NA2024

Reduced Order Modeling of Partial Differential Equations on Parameter-Dependent Domains Using Deep Neural Networks

Martina Bukač, Iva Manojlović, Boris Muha +1

Partial differential equations (PDEs) are widely used for modeling various physical phenomena. These equations often depend on certain parameters, necessitating either the identifi…