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

MATHICSE Technical Report : An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

Alfio Quarteroni, Andrea Manzoni, Yvon Maday

We propose a new, black-box online stabilization strategy for reduced basis (RB) approx- imations of parameter-dependent advection-diffusion problems in the advection-dominated case. Our goal is to stabilize the RB problem irrespectively of the stabilizati ...

MATHICSE2016

An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

Alfio Quarteroni, Andrea Manzoni, Yvon Maday

We propose a new, black-box online stabilization strategy for reduced basis (RB) approximations of parameter-dependent advection-diffusion problems in the advection-dominated case. Our goal is to stabilize the RB problem irrespectively of the stabilization ...

Elsevier France-Editions Scientifiques Medicales Elsevier2016

An adaptive finite element heterogeneous multiscale method for Stokes flow in porous media

Assyr Abdulle, Ondrej Budác

A finite element heterogeneous multiscale method is proposed for solving the Stokes problem in porous media. The method is based on the coupling of an effective Darcy equation on a macroscopic mesh with unknown permeabilities recovered from micro finite el ...

Siam Publications2015

A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries

Assyr Abdulle, Ondrej Budác

We present a Petrov-Galerkin reduced basis (RB) approximation for the parameterized Stokes equation. Our method, which relies on a reduced solution space and a parameter-dependent test space, is shown to be stable (in the sense of Babuska) and algebraicall ...

Elsevier2015

3D ALE Finite-Element Method for Two-Phase Flows With Phase Change

John Richard Thome, Navid Borhani, Gustavo Rabello Dos Anjos

We seek to study numerically two-phase flow phenomena with phase change through the finite-element method (FEM) and the arbitrary Lagrangian-Eulerian (ALE) framework. This method is based on the so-called one-fluid formulation; thus, only one set of equati ...

Taylor & Francis2014

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

Hecke modifications, wonderful compactifications and moduli of principal bundles

Michael Lennox Wong

In this paper we obtain parametrizations of the moduli space of principal bundles over a compact Riemann surface using spaces of Hecke modifications in several cases. We begin with a discussion of Hecke modifications for principal bundles and give construc ...

Scuola Normale Superiore2013

Model reduction techniques for fast blood flow simulation in parametrized geometries

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni

In this paper we propose a new model reduction technique aimed at real-time blood flow simulations on a given family of geometrical shapes of arterial vessels. Our approach is based on the combination of a low-dimensional shape parametrization of the compu ...

2012

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

MATHICSE Technical Report : An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

Reduced Basis method for Isogeometric Analysis: application to structural problems

An adaptive finite element heterogeneous multiscale method for Stokes flow in porous media

A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries

3D ALE Finite-Element Method for Two-Phase Flows With Phase Change

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

Hecke modifications, wonderful compactifications and moduli of principal bundles

Singularity Free Parametrization of Human Limbs

Model reduction techniques for fast blood flow simulation in parametrized geometries

Graph Chatbot

Chattez avec Graph Search

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

3D ALE Finite-Element Method for Two-Phase Flows With Phase Change

Reduced Basis method for Isogeometric Analysis: application to structural problems

An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

An adaptive finite element heterogeneous multiscale method for Stokes flow in porous media

Hecke modifications, wonderful compactifications and moduli of principal bundles

A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries

Model reduction techniques for fast blood flow simulation in parametrized geometries

MATHICSE Technical Report : An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

Singularity Free Parametrization of Human Limbs