Publications related to A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

Alfio Quarteroni, Christian Vergara, Luca Formaggia

In this work we discuss the reliability of the coupling among three-dimensional (3D) and one-dimensional (1D) models that describe blood flowing into the circulatory tree. In particular, we study the physical consistency of the 1D model with respect to the ...

Academic Press Inc Elsevier Science2013

Nondispersive solutions to the $L^2$-critical half-wave equation

Joachim Krieger

We consider the focusing

L^2

-critical half-wave equation in one space dimension

i \partial_t u = D u - |u|^2 u,

where

D

denotes the first-order fractional derivative. Standard arguments show that there is a critical threshold

M_* > 0

such that all ...

Springer Verlag2013

Imaginary-time nonuniform mesh method for solving the multidimensional Schroedinger equation: Fermionization and melting of quantum Lennard-Jones crystals

Jiri Vanicek, Alberto Hernando de Castro

An imaginary-time nonuniform mesh method for diagonalizing multidimensional quantum Hamiltonians is proposed and used to find the first 50 eigenstates and energies of up to D=5 strongly interacting spinless quantum Lennard-Jones particles trapped in a one- ...

2013

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Adelmo Cristiano Innocenza Malossi

The aim of this work is the development of a geometrical multiscale framework for the simulation of the human cardiovascular system under either physiological or pathological conditions. More precisely, we devise numerical algorithms for the partitioned so ...

EPFL2012

Numerical pancake droplets: from capturing to versatile microfluidics

François Gallaire, Mathias Nagel

This article proposes a numerical model for microfluidic two-phase flows in flat channels, also called Hele-Shaw cells. The initially three-dimensional problem is simplified to two-dimensions by depth averaging in the thin direction. The 2D partial differe ...

SOCIETE HYDROTECHNIQUE DE FRANCE2012

Numerical methods for multilattices

Assyr Abdulle, Alexander Shapeev

Among the efficient numerical methods based on atomistic models, the quasi-continuum (QC) method has attracted growing interest in recent years. The QC method was first developed for crystalline materials with Bravais lattice and was later extended to mult ...

Siam Publications2012

Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems

Assyr Abdulle, Yun Bai

A new finite element method for the efficient discretization of elliptic homogenization problems is proposed. These problems, characterized by data varying over a wide range of scales cannot be easily solved by classical numerical methods that need mesh re ...

Elsevier2012

Numerical methods for stochastic partial differential equations with multiple scales

Assyr Abdulle, Grigorios A. Pavliotis

A new method for solving numerically stochastic partial differential equations (SPDEs) with multiple scales is presented. The method combines a spectral method with the heterogeneous multiscale method (HMM) presented in [W. E, D. Liu, E. Vanden-Eijnden, An ...

2012

Accurate reconstruction of discontinuous functions using the singular pade-chebyshev method

Jan Sickmann Hesthaven

In this paper, we present a singularity-based resolution of the Gibbs phenomenon that obstructs the reconstruction of a function with jump discontinuities by a truncated Chebyshev series or a PadÃ©-Chebyshev approximation. We tackle the more difficult case ...

2012

Low energy impact damage monitoring of composites using dynamic strain signals from FBG sensors - Part II: Damage identification

John Botsis, Joël Cugnoni, Jeannot Frieden

In part I of this two-paper series, a method for the localization of an impact using dynamic strain signals from fiber Bragg grating (FBG) sensors is presented. In this paper, an inverse numerical-experimental method allowing to identify the damage based o ...

2012

A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

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On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

Nondispersive solutions to the $L^2$-critical half-wave equation

Imaginary-time nonuniform mesh method for solving the multidimensional Schroedinger equation: Fermionization and melting of quantum Lennard-Jones crystals

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Numerical pancake droplets: from capturing to versatile microfluidics

Numerical methods for multilattices

Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems

Numerical methods for stochastic partial differential equations with multiple scales

Accurate reconstruction of discontinuous functions using the singular pade-chebyshev method

Low energy impact damage monitoring of composites using dynamic strain signals from FBG sensors - Part II: Damage identification

Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

Nondispersive solutions to the $L^2$-critical half-wave equation

Imaginary-time nonuniform mesh method for solving the multidimensional Schroedinger equation: Fermionization and melting of quantum Lennard-Jones crystals

Numerical methods for multilattices

Numerical pancake droplets: from capturing to versatile microfluidics

Numerical methods for stochastic partial differential equations with multiple scales

Low energy impact damage monitoring of composites using dynamic strain signals from FBG sensors - Part II: Damage identification

Accurate reconstruction of discontinuous functions using the singular pade-chebyshev method

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System