Publications related to Reduced basis methods for Stokes equations in domains with non-affine parameter dependence

Homology of the three flag Hilbert Scheme

We prove the existence of an affine paving for the three-step flag Hilbert scheme that parametrizes flag of three 0-dimensional subschemes of length, respectively, n, n+1 and n+2 that are supported at the origin of the affine plane. This is done by showing ...

EPFL2016

MATHICSE Technical Report : Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Andrea Manzoni, Federico Negri

In this work, we apply a Matrix version of the so-called Discrete Empirical Interpolation (MDEIM) for the efficient reduction of nonaffine parametrized systems arising from the discretization of linear partial differential equations. Dealing with affinely ...

MATHICSE2015

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Andrea Manzoni, Federico Negri

In this work, we apply a Matrix version of the so-called Discrete Empirical Interpolation (MDEIM) for the efficient reduction of nonaffine parametrized systems arising from the discretization of linear partial differential equations. Dealing with affinely ...

Elsevier2015

Some remarks on representations of Yang-Mills algebras

In this article, we present some new properties of representations of Yang-Mills algebras. We first show that any free Lie algebra with m generators is a quotient of the Yang-Mills algebra ym(n) on n generators, for n ≥ 2m. We derive from this that any sem ...

2015

Asymptotics of action variables near semi-toric singularities

The presence of focus-focus singularities in semi-toric integrables Hamiltonian systems is one of the reasons why there cannot exist global Action-Angle coordinates on such systems. At focus-focus critical points, the Liouville-Arnold-Mineur theorem does n ...

Elsevier2015

Reduced basis method for the Stokes equations in decomposable parametrized domains using greedy optimization

Alfio Quarteroni, Gianluigi Rozza, Laura Iapichino

Flow simulations in pipelined channels and several kinds of parametrized configurations have a growing interest in many life sciences and industrial applications. Applications may be found in the analysis of the blood flow in specific compartments of the c ...

Springer2014

An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier-Stokes flows

Andrea Manzoni

We present the current Reduced Basis framework for the efficient numerical approximation of parametrized steady Navier-Stokes equations. We have extended the existing setting developed in the last decade (see e.g. [S. Deparis, SIAM J. Numer. Anal. 46 (2008 ...

2014

Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants

Gianluigi Rozza, Andrea Manzoni

In this paper we review and we extend the reduced basis approximation and a posteriori error estimation for steady Stokes flows in affinely parametrized geometries, focusing on the role played by the Brezzi's and Babuska's stability constants. The crucial ...

Springer Verlag2013

Source/Filter Factorial Hidden Markov Model, with Application to Pitch and Formant Tracking

Jean-Philippe Thiran

Tracking vocal tract formant frequencies (

f_p

) and estimating the fundamental frequency (

f_0

) are two tracking problems that have been tackled in many speech processing works, often independently, with applications to articulatory parameters estimation ...

Institute of Electrical and Electronics Engineers2013

Singularity Free Parametrization of Human Limbs

Ronan Boulic, Eray Molla

In this paper we propose the Middle-Axis-Rotation (MAR) parametrization of human limbs that addresses the ill-conditioned cases of analytical Inverse Kinematics (IK) algorithms. The MAR parametrization is singularity-free in the reach space of the human li ...

ACM Press2013

Reduced basis methods for Stokes equations in domains with non-affine parameter dependence

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Homology of the three flag Hilbert Scheme

MATHICSE Technical Report : Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Some remarks on representations of Yang-Mills algebras

Asymptotics of action variables near semi-toric singularities

Reduced basis method for the Stokes equations in decomposable parametrized domains using greedy optimization

An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier-Stokes flows

Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants

Source/Filter Factorial Hidden Markov Model, with Application to Pitch and Formant Tracking

Singularity Free Parametrization of Human Limbs

Some remarks on representations of Yang-Mills algebras

Asymptotics of action variables near semi-toric singularities

Homology of the three flag Hilbert Scheme

Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants

Singularity Free Parametrization of Human Limbs

MATHICSE Technical Report : Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Reduced basis method for the Stokes equations in decomposable parametrized domains using greedy optimization

Source/Filter Factorial Hidden Markov Model, with Application to Pitch and Formant Tracking

An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier-Stokes flows