Publications related to Generation Of Optical Standing Waves Around Mesoscopic Surface-Structures - Scattering And Light Confinement

Fast multiscale reconstruction for Cryo-EM

Michaël Unser, Laurène Donati, Masih Nilchian

We present a multiscale reconstruction framework for single-particle analysis (SPA). The representation of three-dimensional (3D) objects with scaled basis functions permits the reconstruction of volumes at any desired scale in the real-space. This multisc ...

2018

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function

u

in multivariate polynomial spaces

P_\Lambda:=span\{y\mapsto y^\nu \,: \, \nu\in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma:=[-1,1]^d

, based on the s ...

2017

A methodology for the rigorous verification of Particle-in-Cell simulations

Paolo Ricci, Fabio Riva, Carrie Fiona Beadle

A methodology to perform a rigorous verification of Particle-in-Cell (PIC) simulations is presented, both for assessing the correct implementation of the model equations (code verification), and evaluating the numerical uncertainty affecting the simulation ...

American Institute of Physics2017

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

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function u in multivariate polynomial spaces

P_\Lambda := span\{y \mapsto y^\nu | \nu \in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma := [-1,1]^d

, based on the sa ...

MATHICSE2015

MATHICSE Technical Report : Isogeometric analysis of high order partial differential equations on surfaces

Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi

We consider the numerical approximation of high order Partial Differential Equations (PDEs) defined on surfaces in the three dimensional space, with particular emphasis on closed surfaces. We consider computational domains that can be represented by B-spli ...

MATHICSE2015

Isogeometric Analysis of high order Partial Differential Equations on surfaces

Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi

We consider the numerical approximation of high order Partial Differential Equations (PDEs) defined on surfaces in the three dimensional space, with particular emphasis on closed surfaces. We consider computational domains that can be represented by B-spli ...

Elsevier2015

Isogeometric Analysis for second order Partial Differential Equations on surfaces

Alfio Quarteroni, Luca Dede'

We consider the numerical solution of second order Partial Differential Equations (PDEs) on lower dimensional manifolds, specifically on surfaces in three dimensional spaces. For the spatial approximation, we consider Isogeometric Analysis which facilitate ...

Elsevier2015

Isogeometric rotation-free analysis of planar extensible-elastica for static and dynamic applications

Luca Dede', Alessandro Spadoni, Florian Paul Robert Maurin

Finite deformations of planar slender beams for which shear strain can be neglected are described by the extensible-elastica model, where the strain-displacement relation is geometrically exact and the Biot stress–strain relation is linear. However, if the ...

Springer Verlag2015

Unraveling the Salvinia Paradox: Design Principles for Submerged Superhydrophobicity

Simone Meloni

The complex structure of the Salvinia molesta is investigated via rare event molecular dynamics simulations. Results show that a hydrophilic/hydrophobic patterning together with a re-entrant geometry control the free energy barriers for bubble nucleation a ...

Wiley-Blackwell2015

Generation Of Optical Standing Waves Around Mesoscopic Surface-Structures - Scattering And Light Confinement

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Fast multiscale reconstruction for Cryo-EM

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

A methodology for the rigorous verification of Particle-in-Cell simulations

Numerical modeling of heart valves using resistive Eulerian surfaces

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

MATHICSE Technical Report : Isogeometric analysis of high order partial differential equations on surfaces

Isogeometric Analysis of high order Partial Differential Equations on surfaces

Isogeometric Analysis for second order Partial Differential Equations on surfaces

Isogeometric rotation-free analysis of planar extensible-elastica for static and dynamic applications

Unraveling the Salvinia Paradox: Design Principles for Submerged Superhydrophobicity

Fast multiscale reconstruction for Cryo-EM

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

A methodology for the rigorous verification of Particle-in-Cell simulations

Numerical modeling of heart valves using resistive Eulerian surfaces

Isogeometric Analysis for second order Partial Differential Equations on surfaces

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

MATHICSE Technical Report : Isogeometric analysis of high order partial differential equations on surfaces

Isogeometric Analysis of high order Partial Differential Equations on surfaces

Isogeometric rotation-free analysis of planar extensible-elastica for static and dynamic applications

Unraveling the Salvinia Paradox: Design Principles for Submerged Superhydrophobicity