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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 · 404 across the 15 of their papers we have counts for

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8 papers · 1 filter

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…

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.NA2014

Runge-Kutta Discontinuous Galerkin Method for Traffic Flow Model on Networks

Suncica Canic, Benedetto Piccoli, Jing-Mei Qiu +1

We propose a bound-preserving Runge-Kutta (RK) discontinuous Galerkin (DG) method as an efficient, effective and compact numerical approach for numerical simulation of traffic flow…

math.NA2014★ 57 cited

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,…

math.NA2013★ 42 cited

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…

math.NA2012★ 126 cited

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…