126 citations · 343 across the 12 of their papers we have counts for
12 papers
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…
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…
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…
Refactorization of Cauchy's method: a second-order partitioned method for fluid-thick structure interaction problems
Martina Bukac, Anyastassia Seboldt, Catalin Trenchea
This work focuses on the derivation and the analysis of a novel, strongly-coupled partitioned method for fluid-structure interaction problems. The flow is assumed to be viscous and…
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…
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…
Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach
Martina Bukac, Ivan Yotov, Rana Zakerzadeh +1
We develop a computational model to study the interaction of a fluid with a poroelastic material. The coupling of Stokes and Biot equations represents a prototype problem for these…
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…
Stability and convergence analysis of the kinematically coupled scheme for fluid-structure interaction
Martina Bukac
In this work we analyze the stability and convergence properties of a loosely-coupled scheme, called the kinematically coupled scheme, for interaction between an incompressible vis…
Explicit partitioning strategies for the interaction between a fluid and a multilayered poroelastic structure: an operator-splitting approach
Martina Bukac, Paolo Zunino, Ivan Yotov
We study the interaction between an incompressible, viscous, Newtonian fluid and a multilayered structure, which consists of a thin elastic layer and a thick poroelastic material.…
Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement
Martina Bukac, Suncica Canic, Roland Glowinski +2
We present a new model and a novel loosely coupled partitioned numerical scheme modeling fluid-structure interaction (FSI) in blood flow allowing non-zero longitudinal displacement…