Publications related to MATHICSE Technical Report : Automatic reduction of PDEs defined on domains with variable shape

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

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

Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics

Fabio Nobile, Christian Vergara

In this paper we consider the numerical solution of the three-dimensional fluid–structure interaction problem in haemodynamics, in the case of real geometries, physiological data and finite elasticity vessel deformations. We study some new inexact schemes, ...

Elsevier2014

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 improvement on geometrical parameterizations by transfinite maps

Gianluigi Rozza, Laura Iapichino, Christoph Jäggli

We present a method to generate a non-affine transfinite map from a given reference domain to a family of deformed domains. The map is a generalization of the Gordon–Hall transfinite interpolation approach. It is defined globally over the reference domain. ...

Elsevier France-Editions Scientifiques Medicales Elsevier2014

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

In this work we consider the random discrete

L^2

projection on polynomial spaces (hereafter RDP) for the approximation of scalar quantities of interest (QOIs) related to the solution of a partial differential equation model with random input parameters. ...

Siam Publications2013

Reduction strategies for shape dependent inverse problems in haemodynamics

Gianluigi Rozza, Andrea Manzoni, Toni Mikael Lassila

This work deals with the development and application of reduction strategies for real-time and many query problems arising in fluid dynamics, such as shape optimization, shape registration (reconstruction), and shape parametrization. The proposed strategy ...

Springer2012

Reduced Models for Optimal Control, Shape Optimization and Inverse Problems in Haemodynamics

Andrea Manzoni

The objective of this thesis is to develop reduced models for the numerical solution of optimal control, shape optimization and inverse problems. In all these cases suitable functionals of state variables have to be minimized. State variables are solutions ...

EPFL2012

A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks

Alfio Quarteroni, Gianluigi Rozza, Laura Iapichino

In this paper we propose a reduced basis hybrid method (RBHM) for the approximation of partial differential equations in domains represented by complex networks where topological features are recurrent. The RBHM is applied to Stokes equations in domains wh ...

Elsevier2012

On the optimal polynomial approximation of stochastic PDEs by Galerkin and Collocation methods

Fabio Nobile, Lorenzo Tamellini

In this work we focus on the numerical approximation of the solution u of a linear elliptic PDE with stochastic coefficients. The problem is rewritten as a parametric PDE and the functional dependence of the solution on the parameters is approximated by mu ...

World Scientific Publ Co Pte Ltd2012

MATHICSE Technical Report : Automatic reduction of PDEs defined on domains with variable shape

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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

Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics

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

An improvement on geometrical parameterizations by transfinite maps

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Reduction strategies for shape dependent inverse problems in haemodynamics

Reduced Models for Optimal Control, Shape Optimization and Inverse Problems in Haemodynamics

A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks

On the optimal polynomial approximation of stochastic PDEs by Galerkin and Collocation methods

A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks

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

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

An improvement on geometrical parameterizations by transfinite maps

Reduced Models for Optimal Control, Shape Optimization and Inverse Problems in Haemodynamics

Reduction strategies for shape dependent inverse problems in haemodynamics

On the optimal polynomial approximation of stochastic PDEs by Galerkin and Collocation methods

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