178 citations · 316 across the 39 of their papers we have counts for
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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…
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…
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…
Analysis of a diffuse interface method for the Stokes-Darcy coupled problem
Martina Bukač, Boris Muha, Abner J. Salgado
We consider the interaction between a free flowing fluid and a porous medium flow, where the free flowing fluid is described using the time dependent Stokes equations, and the poro…
Stability and convergence analysis of the kinematically coupled scheme and its extensions for the fluid-structure interaction
Martina Bukac, Boris Muha
In this work we analyze the stability and convergence properties of a loosely-coupled scheme, called the kinematically coupled scheme, and its extensions for the interaction betwee…
A partitioned scheme for fluid-composite structure interaction problems
Martina Bukac, Suncica Canic, Boris Muha
We present a loosely-coupled partitioned scheme for a benchmark problem in fluid-composite structure interaction. The benchmark problem proposed here consists of an incompressible,…
A Modular, Operator Splitting Scheme for Fluid-Structure Interaction Problems with Thick Structures
Martina Bukac, Suncica Canic, Roland Glowinski +2
We present an operator-splitting scheme for fluid-structure interaction (FSI) problems in hemodynamics, where the thickness of the structural wall is comparable to the radius of th…