Search Results - "Canic, S"
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1
A partitioned scheme for fluid–composite structure interaction problems
Published in Journal of computational physics (15-01-2015)“…We present a benchmark problem and a loosely-coupled partitioned scheme for fluid–structure interaction with composite structures. The benchmark problem…”
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2
Symmetry breaking and preliminary results about a Hopf bifurcation for incompressible viscous flow in an expansion channel
Published in International journal of computational fluid dynamics (02-01-2016)“…This computational study shows, for the first time, a clear transition to two-dimensional Hopf bifurcation for laminar incompressible flows in symmetric plane…”
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3
A modular, operator-splitting scheme for fluid-structure interaction problems with thick structures
Published in International journal for numerical methods in fluids (20-03-2014)“…SUMMARY We present an operator‐splitting scheme for fluid–structure interaction (FSI) problems in hemodynamics, where the thickness of the structural wall is…”
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4
Validation of an open source framework for the simulation of blood flow in rigid and deformable vessels
Published in International journal for numerical methods in biomedical engineering (01-11-2013)“…SUMMARYWe discuss in this paper the validation of an open source framework for the solution of problems arising in hemodynamics. The proposed framework is…”
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5
MATHEMATICAL MODELING OF VASCULAR STENTS
Published in SIAM journal on applied mathematics (01-01-2010)“…We present a mathematical model for a study of the mechanical properties of endovascular stents in their expanded state. The model is based on the theory of…”
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6
Validation of a 3D computational fluid–structure interaction model simulating flow through an elastic aperture
Published in Journal of biomechanics (10-01-2012)“…Abstract This work presents a validation of a fluid–structure interaction computational model simulating the flow conditions in an in vitro mock heart chamber…”
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7
Computations of Slowly Moving Shocks
Published in Journal of computational physics (01-09-1997)“…Computations of slowly moving shocks by shock capturing schemes may generate oscillations that appear as a wavy tail attached to the shock front. These…”
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8
Riemann Problems for the Two-Dimensional Unsteady Transonic Small Disturbance Equation
Published in SIAM journal on applied mathematics (01-04-1998)“…We study a two-parameter family of Riemann problems for the unsteady transonic small disturbance (UTSD) equation, also called the two-dimensional Burgers…”
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9
A Numerical Study of Riemann Problems for the Two-Dimensional Unsteady Transonic Small Disturbance Equation
Published in SIAM journal on applied mathematics (01-10-1998)“…We study a two-parameter family of Riemann problems for the unsteady transonic small disturbance (UTSD) equation, also called the two-dimensional Burgers…”
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10
Shock Wave Admissibility for Quadratic Conservation Laws
Published in Journal of Differential Equations (20-05-1995)“…In this work we present a new approach to the study of the stability of admissible shock wave solutions for systems of conservation laws that change type. The…”
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11
Cardiovascular stents as PDE nets: 1D vs. 3D
Published in IMA journal of applied mathematics (01-12-2012)“…This manuscript gives an overview of a new framework for modelling multi-component, mesh-like structures such as cardiovascular (endovascular) stents. By using…”
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12
Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi-symmetric vessels
Published in Mathematical methods in the applied sciences (25-09-2003)“…In this paper, we present a mathematical analysis of the quasilinear effects arising in a hyperbolic system of partial differential equations modelling blood…”
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13
Blood flow in compliant arteries: an effective viscoelastic reduced model, numerics, and experimental validation
Published in Annals of biomedical engineering (01-04-2006)“…The focus of this work is on modeling blood flow in medium-to-large systemic arteries assuming cylindrical geometry, axially symmetric flow, and…”
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14
A proof of existence of perturbed steady transonic shocks via a free boundary problem
Published in Communications on pure and applied mathematics (01-04-2000)“…We prove the existence of a solution of a free boundary problem for the transonic small‐disturbance equation. The free boundary is the position of a transonic…”
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15
A free boundary problem for a quasi-linear degenerate elliptic equation: Regular reflection of weak shocks
Published in Communications on pure and applied mathematics (01-01-2002)“…We prove the existence of a solution to the weak regular reflection problem for the unsteady transonic small disturbance (UTSD) model for shock reflection by a…”
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16
Nonexistence of Riemann solutions for a quadratic model deriving from petroleum engineering
Published in Nonlinear analysis: real world applications (01-09-2003)“…The study presented in this work shows that the viscous profile entropy criterion is too selective in reducing the number of solutions to guarantee existence…”
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17
Blood flow through axially symmetric sections of compliant vessels: new effective closed models
Published in Conference proceedings (IEEE Engineering in Medicine and Biology Society. Conf.) (2004)“…Due to a tremendous complexity of the human cardiovascular system it remains unfeasible to numerically simulate larger sections of the circulatory system using…”
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18
A class of quasilinear degenerate elliptic problems
Published in Journal of Differential Equations (20-03-2003)“…We establish the existence of solutions for a class of quasilinear degenerate elliptic equations. The equations in this class satisfy a structure condition…”
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19
Mathematical Model analysis of Wallstent and Aneurx: dynamic responses of bare-metal endoprosthesis compared with those of stent-graft
Published in Texas Heart Institute journal (2005)“…We performed this study in order to analyze the mechanical properties of bare-metal Wallstent endoprostheses and of AneuRx stent-grafts and to compare their…”
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20
Nonexistence of Riemann solutions for a quadratic model deriving from petroleum engineering
Published in Nonlinear analysis: real world applications (01-12-2002)“…The study presented in this work shows that the viscous profile entropy criterion is too selective in reducing the number of solutions to guarantee existence…”
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