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The inverse Womersley problem for pulsatile flow in straight rigid tubes

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Numerical modeling of heart valves using resistive Eulerian surfaces

Alfio Quarteroni, Aymen Laadhari

The goal of this work is the development and numerical implementation of a mathematical model describing the functioning of heart valves. To couple the pulsatile blood flow with a highly deformable thin structure (the valve's leaflets), a resistive Euleria ...

Wiley-Blackwell2016

Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

Assyr Abdulle, Gilles Vilmart, Yun Bai

A reduced basis finite element heterogeneous multiscale method (RB-FE-HMM) for a class of nonlinear homogenization elliptic problems of nonmonotone type is introduced. In this approach, the solutions of the micro problems needed to estimate the macroscopic ...

Amer Inst Mathematical Sciences2015

Improving the quality of filament-impaired images in Kerr media by statistical averaging

Demetri Psaltis, Alexandre Goy

In focusing Kerr media, small- scale filamentation is the major obstacle to imaging at high light intensities. In this article, we experimentally and numerically demonstrate a method based on statistical averaging to reduce the detrimental effects of filam ...

Optical Soc Amer2015

Confined vortices in topologically massive U(1) x U(1) theory

Yannis Burnier, Eray Sabancilar

We report on a new topological vortex solution in U(1) x U(1) Maxwell-Chern-Simons theory. The existence of the vortex is envisaged by analytical means, and a numerical solution is obtained by integrating the equations of motion. These vortices have a long ...

Amer Physical Soc2015

A variational approach to stable principal component pursuit

Volkan Cevher

We introduce a new convex formulation for stable principal component pursuit (SPCP) to decompose noisy signals into low-rank and sparse representations. For numerical solutions of our SPCP formulation, we first develop a convex variational framework and th ...

2014

A new finite element heterogeneous multiscale method (FE-HMM) is proposed for the numerical solution of the wave equation over long times in a rapidly varying medium. Our new FE-HMM-L method captures not only the short-time behavior of the wave field, well ...

Siam Publications2014

In this paper we consider the numerical solution of the three-dimensional fluid–structure interaction problem in haemodynamics, in the case of real geometries, physiological data and finite elasticity vessel deformations. We study some new inexact schemes, ...

Elsevier2014

Silt motion simulation using finite volume particle method

François Avellan, Ebrahim Jahanbakhsh, Christian Vessaz

In this paper, we present a 3-D FVPM which features rectangular top-hat kernels. With this method, interaction vectors are computed exactly and efficiently. We introduce a new method to enforce the no-slip boundary condition. With this boundary enforcement ...

IOP Publishing Ltd2014

An alternate point-wise scheme for Electric Field Integral Equations

Juan Ramon Mosig, Gabriele Rosati

A point-wise approach that can be used efficiently in the numerical solution of Electric Field Integral Equations is introduced. The algorithm is based on the so-called magic distance concept, which defines exactly the point-to-point equivalent of a four-d ...

Wiley-Blackwell2013

Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics

Fabio Nobile, Christian Vergara

In this work we deal with the numerical solution of the fluid-structure interaction problem arising in the haemodynamic environment. In particular, we consider BDF and Newmark time discretization schemes, and we study different methods for the treatment of ...

2013