Publications related to Affine transformation

Incremental Model Identification of Reaction Systems

Dominique Bonvin, Julien Léo Billeter, Michael Amrhein, Sriniketh Srinivasan, Diogo Filipe Mateus Rodrigues, Nirav Pravinbhai Bhatt

The identification of reaction kinetics represents the main challenge in building models for reaction systems. The identification task can be performed via either simultaneous model identification (SMI) or incremental model identification (IMI), the latter ...

2017

A posteriori error estimation for the steady Navier-Stokes equations in random domains

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

We consider finite element error approximations of the steady incompressible Navier-Stokes equations defined on a randomly perturbed domain, the perturbation being small. Introducing a random mapping, these equations are transformed into PDEs on a fixed re ...

Elsevier2017

A three-scale offline–online numerical method for fluid flow in porous media

Assyr Abdulle, Ondrej Budác

A new multiscale method combined with model order reduction is proposed for flow problems in three-scale porous media. We derive an effective three-scale model that couples a macroscopic Darcy equation, a mesoscopic Stokes-Brinkman equation, and a microsco ...

2017

The role of the roughness spectral breadth in elastic contact of rough surfaces

Jean-François Molinari, Guillaume Anciaux, Vladislav Yastrebov

We study frictionless and non-adhesive contact between elastic half-spaces with self-affine surfaces. Using a recently suggested corrective technique, we ensure an unprecedented accuracy in computation of the true contact area evolution under increasing pr ...

2017

Projective transformations of structural equilibrium

Corentin Jean Dominique Fivet

Direct methods that transform the geometry of a structure and conserve its static equilibrium are of particular interest for designers. They allow the exploration of alternative solutions at minimum computational cost. While parallel transformations (stret ...

2016

Notions of affinity in calculus of variations with differential forms

Saugata Bandyopadhyay, Swarnendu Sil

Ext-int. one affine functions are functions affine in the direction of one-divisible exterior forms with respect to the exterior product in one variable and with respect to the interior product in the other. The purpose of this article is to prove a charac ...

Walter De Gruyter Gmbh2016

Gauging nonrelativistic field theories using the coset construction

Alexander Monin, Georgios Karananas

We discuss how nonrelativistic spacetime symmetries can be gauged in the context of the coset construction. We consider theories invariant under the centrally extended Galilei algebra as well as the Lifshitz one, and we investigate under what conditions th ...

Amer Physical Soc2016

Enumeration of reversible functions and its application to circuit complexity

Giovanni De Micheli, Mathias Soeken, Nabila Abdessaied

We review combinational results to enumerate and classify reversible functions and investigate the application to circuit complexity. In particularly, we consider the effect of negating and permuting input and output variables and the effect of applying li ...

Springer2016

Hermite Snakes with Control of Tangents

Michaël Unser, Julien René Pierre Fageot, Virginie Sophie Uhlmann

We introduce a new model of parametric contours defined in a continuous fashion. Our curve model relies on Hermite spline interpolation and can easily generate curves with sharp discontinuities; it also grants direct access to the tangent at each location. ...

IEEE2016

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Michaël Unser, Julien René Pierre Fageot, Harshit Gupta

We present a theoretical analysis and comparison of the effect of

ℓ _{ 1 }

versus

ℓ _{ 2 }

regularization for the resolution of ill-posed linear inverse and/or compressed sensing problems. Our formulation covers the most general setting where the s ...

IEEE2016

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Incremental Model Identification of Reaction Systems

A posteriori error estimation for the steady Navier-Stokes equations in random domains

A three-scale offline–online numerical method for fluid flow in porous media

The role of the roughness spectral breadth in elastic contact of rough surfaces

Projective transformations of structural equilibrium

Notions of affinity in calculus of variations with differential forms

Gauging nonrelativistic field theories using the coset construction

Enumeration of reversible functions and its application to circuit complexity

Hermite Snakes with Control of Tangents

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

A three-scale offline–online numerical method for fluid flow in porous media

Enumeration of reversible functions and its application to circuit complexity

Projective transformations of structural equilibrium

Gauging nonrelativistic field theories using the coset construction

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Incremental Model Identification of Reaction Systems

A posteriori error estimation for the steady Navier-Stokes equations in random domains

The role of the roughness spectral breadth in elastic contact of rough surfaces

Hermite Snakes with Control of Tangents

Notions of affinity in calculus of variations with differential forms