Publications related to A reduced order model-based preconditioner for the efficient solution of transient diffusion equations

Exact diffusion strategy for optimization by networked agents

This work develops a distributed optimization algorithm with guaranteed exact convergence for a broad class of left-stochastic combination policies. The resulting exact diffusion strategy is shown to have a wider stability range and superior convergence pe ...

IEEE2017

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

Accurate, Stable and Efficient Modal Calculations of Photoelectrically Useful Absorption in Lamellar Metallic and Semiconductor Diffraction Gratings

David Isaak Gablinger

Solar energy has seen tremendous advances in the past years. For thin film photovoltaics, which use less of the expensive semiconductor materials, insufficient light absorption can be a limiting factor. It is hoped that by using diffractive optics to impro ...

EPFL2016

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

Decomposition Strategies for Nonconvex Problems, a Parametric Approach

Jean-Hubert Hours

This thesis deals with the development of numerical methods for solving nonconvex optimisation problems by means of decomposition and continuation techniques. We first introduce a novel decomposition algorithm based on alternating gradient projections and ...

EPFL2016

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

MATHICSE Technical Report : 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 ...

MATHICSE2015

What Maurice Koechlin's scientific contribution tells about his life (1856-1946)

Corentin Jean Dominique Fivet

In 1879, then 23-year-old Maurice Koechlin became the lead structural engineer of Gustave Eiffel’s construction company founded 13 years before. Together, they pushed the boundaries of steel and iron structural design. They were responsible for the design ...

Construction History Society of America2015

A reduced order model-based preconditioner for the efficient solution of transient diffusion equations

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Exact diffusion strategy for optimization by networked agents

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

Accurate, Stable and Efficient Modal Calculations of Photoelectrically Useful Absorption in Lamellar Metallic and Semiconductor Diffraction Gratings

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

Decomposition Strategies for Nonconvex Problems, a Parametric Approach

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

MATHICSE Technical Report : Preconditioned low-rank Riemannian optimization for linear systems with tensor product structure

What Maurice Koechlin's scientific contribution tells about his life (1856-1946)

Exact diffusion strategy for optimization by networked agents

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

A generalized Poisson and Poisson-Boltzmann solver for electrostatic environments

Accurate, Stable and Efficient Modal Calculations of Photoelectrically Useful Absorption in Lamellar Metallic and Semiconductor Diffraction Gratings

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

Accelerated ADMM based on Accelerated Douglas-Rachford Splitting

MATHICSE Technical Report : Preconditioned low-rank Riemannian optimization for linear systems with tensor product structure

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

What Maurice Koechlin's scientific contribution tells about his life (1856-1946)

Decomposition Strategies for Nonconvex Problems, a Parametric Approach