Publications related to Multi space reduced basis preconditioners for parametrized Stokes equations

A Novel Iterative Method To Approximate Structured Singular Values

A novel method for approximating structured singular values (also known as values) is proposed and investigated. These quantities constitute an important tool in the stability analysis of uncertain linear control systems as well as in structured eigenvalue ...

Siam Publications2017

Efficient preconditioning of hp-FEM matrices arising from time-varying problems: an application to topology optimization

Jan Sickmann Hesthaven, Paolo Gatto

We previously introduced a preconditioner that has proven effective for hp-FEM dis- cretizations of various challenging elliptic and hyperbolic problems. The construc- tion is inspired by standard nested dissection, and relies on the assumption that the Sc ...

Elsevier2017

Efficient Preconditioning of hp-FEM Matrices by Hierarchical Low-Rank Approximations

Jan Sickmann Hesthaven, Paolo Gatto

We introduce a preconditioner based on a hierarchical low-rank compression scheme of Schur complements. The construction is inspired by standard nested dissection, and relies on the assumption that the Schur complements can be approximated, to high precisi ...

Springer Verlag2017

MATHICSE Technical Report : Multi space reduced basis preconditioners for large-scale parametrized PDEs

Alfio Quarteroni, Simone Deparis, Andrea Manzoni, Niccolò Dal Santo

In this work we introduce a new two-level preconditioner for the efficient solution of large scale linear systems arising from the discretization of parametrized PDEs. The proposed preconditioner combines in a multiplicative way a reduced basis solver, whi ...

MATHICSE2016

Parallel Algorithms for the Solution of Large-Scale Fluid-Structure Interaction Problems in Hemodynamics

Davide Forti

This thesis addresses the development and implementation of efficient and parallel algorithms for the numerical simulation of Fluid-Structure Interaction (FSI) problems in hemodynamics. Indeed, hemodynamic conditions in large arteries are significantly aff ...

EPFL2016

Preconditioned Low-Rank Riemannian Optimization For Linear Systems With Tensor Product Structure

Daniel Kressner, Michael Maximilian Steinlechner

The numerical solution of partial differential equations on high-dimensional domains gives rise to computationally challenging linear systems. When using standard discretization techniques, the size of the linear system grows exponentially with the number ...

Siam Publications2016

A Discontinuous Galerkin Reduced Basis Element Method For Elliptic Problems

Alfio Quarteroni, Paolo Pacciarini

We propose and analyse a new discontinuous reduced basis element method for the approximation of parametrized elliptic PDEs in partitioned domains. The method is built upon an offline stage (parameter independent) and an online (parameter dependent) one. I ...

Edp Sciences S A2016

MATHICSE Technical Report : A novel iterative method to approximate structured singular values

Daniel Kressner

A novel method for approximating structured singular values (also known as

\mu

- values) is proposed and investigated. These quantities constitute an important tool in the stability analysis of uncertain linear control systems as well as in structured eig ...

MATHICSE2016

Accelerated ADMM based on Accelerated Douglas-Rachford Splitting

Colin Neil Jones, Ivan Pejcic

Alternating direction method of multipliers (ADMM) is a form of augmented Lagrangian optimisation algorithm that found its place in many new applications in recent years. This paper explores a possibility for an upgrade of the ADMM by extrapolation-based a ...

Ieee2016

A generalized Poisson and Poisson-Boltzmann solver for electrostatic environments

Nicola Marzari, Oliviero Andreussi

The computational study of chemical reactions in complex, wet environments is critical for applications in many fields. It is often essential to study chemical reactions in the presence of applied electrochemical potentials, taking into account the non-tri ...

Amer Inst Physics2016

Multi space reduced basis preconditioners for parametrized Stokes equations

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A Novel Iterative Method To Approximate Structured Singular Values

Efficient preconditioning of hp-FEM matrices arising from time-varying problems: an application to topology optimization

Efficient Preconditioning of hp-FEM Matrices by Hierarchical Low-Rank Approximations

MATHICSE Technical Report : Multi space reduced basis preconditioners for large-scale parametrized PDEs

Parallel Algorithms for the Solution of Large-Scale Fluid-Structure Interaction Problems in Hemodynamics

Preconditioned Low-Rank Riemannian Optimization For Linear Systems With Tensor Product Structure

A Discontinuous Galerkin Reduced Basis Element Method For Elliptic Problems

MATHICSE Technical Report : A novel iterative method to approximate structured singular values

Accelerated ADMM based on Accelerated Douglas-Rachford Splitting

A generalized Poisson and Poisson-Boltzmann solver for electrostatic environments

Preconditioned Low-Rank Riemannian Optimization For Linear Systems With Tensor Product Structure

A Novel Iterative Method To Approximate Structured Singular Values

Efficient preconditioning of hp-FEM matrices arising from time-varying problems: an application to topology optimization

Efficient Preconditioning of hp-FEM Matrices by Hierarchical Low-Rank Approximations

MATHICSE Technical Report : Multi space reduced basis preconditioners for large-scale parametrized PDEs

Parallel Algorithms for the Solution of Large-Scale Fluid-Structure Interaction Problems in Hemodynamics

MATHICSE Technical Report : A novel iterative method to approximate structured singular values

Accelerated ADMM based on Accelerated Douglas-Rachford Splitting

A generalized Poisson and Poisson-Boltzmann solver for electrostatic environments

A Discontinuous Galerkin Reduced Basis Element Method For Elliptic Problems