Publications related to Low-dimensional topology

Isogeometric Analysis for second order Partial Differential Equations on surfaces

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

An Exotic Deformation of the Hyperbolic Space

Nicolas Monod

Let Isom(H^n) be the group of isometries of the n-dimensional real hyperbolic space. We first classify all continuous non-elementary actions of on the infinite-dimensional real hyperbolic space. We then prove the existence of a continuous family of non-iso ...

Johns Hopkins Univ Press2014

Two-Level Discretization Techniques For Ground State Computations Of Bose-Einstein Condensates

Patrick Henning

This work presents a new methodology for computing ground states of Bose-Einstein condensates based on finite element discretizations on two different scales of numerical resolution. In a preprocessing step, a low-dimensional (coarse) generalized finite el ...

Society for Industrial and Applied Mathematics2014

Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid-structure interaction coupling problems

Gianluigi Rozza, Davide Forti

We present some recent advances and improvements in shape parametrisation techniques of interfaces for reduced-order modelling with special attention to fluid-structure interaction problems and the management of structural deformations, namely, to represen ...

Taylor & Francis2014

Complexity of localised coherent structures in a boundary-layer flow

Tobias Klaus Kreilos

We study numerically transitional coherent structures in a boundary-layer flow with homogeneous suction at the wall (the so-called asymptotic suction boundary layer ASBL). The dynamics restricted to the laminar-turbulent separatrix is investigated in a spa ...

2014

Distributed user profiling via spectral methods

Dan-Cristian Tomozei

User profiling is a useful primitive for constructing personalised services, such as content recommendation. In the present paper we investigate the feasibility of user profiling in a distributed setting, with no central authority and only local informatio ...

2014

The Contact of Elastic Regular Wavy Surfaces Revisited

Jean-François Molinari, Guillaume Anciaux, Vladislav Yastrebov

We revisit the classic problem of an elastic solid with a two-dimensional wavy surface squeezed against an elastic flat half-space from infinitesimal to full contact. Through extensive numerical calculations and analytic derivations, we discover previously ...

Springer/Plenum Publishers2014

Successive Refinement of Gaussian Projections

Michael Christoph Gastpar, Guillaume Jean Op 't Veld

Successive refinement is a technique to encode a source iteratively, improving the distortion at each step. If the code rates of all steps combined can be as efficient as coding only for the final distortion in one go, then the source is said to be success ...

2014

Comparison between reduced basis and stochastic collocation methods for elliptic problems

Alfio Quarteroni, Gianluigi Rozza, Peng Chen

The stochastic collocation method has recently been applied to stochastic problems that can be transformed into parametric systems. Meanwhile, the reduced basis method, primarily developed for solving parametric systems, has been recently used to deal with ...

Springer Verlag2014

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Fabio Nobile, Annalisa Buffa, Francesca Bonizzoni

We study the mixed formulation of the stochastic Hodge-Laplace problem dened on a

n

-dimensional domain

D (n ≥ 1)

, with random forcing term. In particular, we focus on the magnetostatic problem and on the Darcy problem in the three dimensional case. We ...

2014

Low-dimensional topology

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Isogeometric Analysis for second order Partial Differential Equations on surfaces

An Exotic Deformation of the Hyperbolic Space

Two-Level Discretization Techniques For Ground State Computations Of Bose-Einstein Condensates

Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid-structure interaction coupling problems

Complexity of localised coherent structures in a boundary-layer flow

Distributed user profiling via spectral methods

The Contact of Elastic Regular Wavy Surfaces Revisited

Successive Refinement of Gaussian Projections

Comparison between reduced basis and stochastic collocation methods for elliptic problems

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Isogeometric Analysis for second order Partial Differential Equations on surfaces

Complexity of localised coherent structures in a boundary-layer flow

Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid-structure interaction coupling problems

Distributed user profiling via spectral methods

Successive Refinement of Gaussian Projections

The Contact of Elastic Regular Wavy Surfaces Revisited

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

An Exotic Deformation of the Hyperbolic Space

Comparison between reduced basis and stochastic collocation methods for elliptic problems

Two-Level Discretization Techniques For Ground State Computations Of Bose-Einstein Condensates