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

Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

A fully discrete analysis of the finite element heterogeneous multiscale method for a class of nonlinear elliptic homogenization problems of nonmonotone type is proposed. In contrast to previous results obtained for such problems in dimension

d\leq2

for ...

Amer Mathematical Soc2014

Parallel preconditioners for the unsteady Navier-Stokes equations and applications to hemodynamics simulations

Alfio Quarteroni, Simone Deparis, Gwenol Grandperrin

We are interested in the numerical solution of the unsteady Navier-Stokes equations on large scale parallel architectures. We consider efficient preconditioners, such as the Pressure Convection-Diffusion (PCD), the Yosida preconditioner, the SIMPLE precond ...

Elsevier2014

A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations

Daniel Kressner, Christine Tobler

This paper is concerned with the numerical solution of symmetric large-scale Lyapunov equations with low-rank right-hand sides and coefficient matrices depending on a parameter. Specifically, we consider the situation when the parameter dependence is suffi ...

Wiley-Blackwell2013

Certification Aspects of the Fast Gradient Method for Solving the Dual of Parametric Convex Programs

Colin Neil Jones

This paper examines the computational complexity certification of the fast gradient method for the solution of the dual of a parametric con- vex program. To this end, a lower iteration bound is derived such that for all parameters from a compact set a solu ...

Springer Heidelberg2012

Voltage Propagation Method for 3-D Power Grid Analysis

Giovanni De Micheli, Vasileios Pavlidis, Cheng Zhang

Power grid analysis is a challenging problem for mod- ern integrated circuits. For 3-D systems fabricated using stacked tiers with TSVs, traditional power grid analysis methods for pla- nar (2-D) circuits do not demonstrate the same performance. An efficie ...

2012

Multilevel Schwarz methods for elliptic partial differential equations

Alfio Quarteroni, Giovanni Migliorati

We investigate multilevel Schwarz domain decomposition preconditioners, to efficiently solve linear systems arising from numerical discretizations of elliptic partial differential equations by the finite element method. In our analysis we deal with unstruc ...

Elsevier2011

Systematic prediction of linear dependencies in the concentration profiles and implications on the kinetic hard-modelling of spectroscopic data

Julien Léo Billeter, Konrad Hungerbühler

A novel method is presented for the systematic identification of the minimum requirements regarding mathematical pre-treatment, a priori information, or experimental design, in order to allow optimising rate constants and pure component spectra associated ...

Elsevier2009

Reactive transport in unsaturated Soil: Comprehensive modelling of the dynamic spatial and temporal mass balance of water and chemical components

David Andrew Barry, Laurin Wissmeier

By implementing the moisture-based form of Richards' equation into the geochemical modelling framework PHREEQC, a generic tool for the simulation of one-dimensional flow and solute transport in the vadose zone undergoing complex geochemical reactions was d ...

2008

Simulating Viscoplastic Avalanches.

Christophe Ancey, Martin Rentschler

We present a comparison between experiment and numerical results for the dam-break problem involving viscoplastic fluids. The laboratory experiment consists in releasing a fine volume of a viscoplastic fluid down inclined plane and tracking the evolution o ...

2008

Identifying physical properties of deformable objects by using particle filters

Charles Baur, Oussama Khatib

This paper presents a new approach for estimating physical properties of deformable models from experimental measurements. In contrast to most previous work, we introduce a new method based on particle filters which identifies the different stiffness prope ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

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

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Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

Parallel preconditioners for the unsteady Navier-Stokes equations and applications to hemodynamics simulations

A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations

Certification Aspects of the Fast Gradient Method for Solving the Dual of Parametric Convex Programs

Voltage Propagation Method for 3-D Power Grid Analysis

Multilevel Schwarz methods for elliptic partial differential equations

Systematic prediction of linear dependencies in the concentration profiles and implications on the kinetic hard-modelling of spectroscopic data

Reactive transport in unsaturated Soil: Comprehensive modelling of the dynamic spatial and temporal mass balance of water and chemical components

Simulating Viscoplastic Avalanches.

Identifying physical properties of deformable objects by using particle filters

Simulating Viscoplastic Avalanches.

Voltage Propagation Method for 3-D Power Grid Analysis

Systematic prediction of linear dependencies in the concentration profiles and implications on the kinetic hard-modelling of spectroscopic data

Certification Aspects of the Fast Gradient Method for Solving the Dual of Parametric Convex Programs

A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations

Multilevel Schwarz methods for elliptic partial differential equations

Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

Reactive transport in unsaturated Soil: Comprehensive modelling of the dynamic spatial and temporal mass balance of water and chemical components

Parallel preconditioners for the unsteady Navier-Stokes equations and applications to hemodynamics simulations

Identifying physical properties of deformable objects by using particle filters