Publications related to Novel corrector problems with exponential decay of the resonance error for numerical homogenization

Programming with Numerical Uncertainties

Numerical software, common in scientific computing or embedded systems, inevitably uses an approximation of the real arithmetic in which most algorithms are designed. In many domains, roundoff errors are not the only source of inaccuracy and measurement as ...

EPFL2014

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

Assyr Abdulle, Gilles Vilmart

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

A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

Jean-François Molinari, Guillaume Anciaux, Srinivasa Babu Ramisetti

We present a novel method to couple molecular dynamics with finite elements at finite temperatures using spatial filters. The mismatch in the dispersion relations between continuum and atomistic models leads, at finite temperature, to unwanted mesh vibrati ...

Wiley-Blackwell2014

Verification methodology for plasma simulations and application to a scrape-off layer turbulence code

Paolo Ricci, Joaquim Loizu Cisquella, Sébastien Jolliet, Federico David Halpern, Fabio Riva, Annamaria Mosetto

Bridging the gap between plasma physics and other scientific domains, in particular, the computational fluid dynamics community, a general, rigorous, and simple-to-apply methodology is presented for both the verification of the correct implementation of th ...

American Institute of Physics2014

Sintering at Particle Scale: An Eulerian Computing Framework to Deal with Strong Topological and Material Discontinuities

Daniel Pino Muñoz

This work presents a numerical modelling approach of particle packing consolidation, at the particle scale, based on specific numerical methods implemented in a high-performance computing framework. Typically, the sintering process triggers several mass tr ...

Springer2014

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

Stable multi-domain spectral penalty methods for fractional partial differential equations

Jan Sickmann Hesthaven

We propose stable multi-domain spectral penalty methods suitable for solving fractional partial differential equations with fractional derivatives of any order. First, a high order discretization is proposed to approximate fractional derivatives of any ord ...

Elsevier2014

Finite elements in space and time for the analysis of generalised visco-elastic materials

Karen Scrivener, Cyrille Dunant, Alain Benjamin Giorla

Numerical analysis of linear visco-elastic materials requires robust and stable methods to integrate partial differential equations in both space and time. In this paper, symmetric space-time finite element operators are derived for the first time for elem ...

Wiley-Blackwell2014

On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method

Jan Sickmann Hesthaven

We propose a modified parallel-in-time - parareal-multi-level time integration method that, in contrast to previously proposed methods, employs a coarse solver based on a reduced model, built from the information obtained from the fine solver at each itera ...

Springer Int Publishing Ag2014

Droplet activation parameterization: The population-splitting concept revisited

Athanasios Nenes

In this work, we postulate, implement and evaluate modifications to the "population-splitting" concept, introduced by Nenes and Seinfeld (2003), for calculation of water-condensation rates in droplet-activation parameterizations. The population-splitting a ...

Copernicus GmbH2014

Novel corrector problems with exponential decay of the resonance error for numerical homogenization

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Programming with Numerical Uncertainties

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

A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

Verification methodology for plasma simulations and application to a scrape-off layer turbulence code

Sintering at Particle Scale: An Eulerian Computing Framework to Deal with Strong Topological and Material Discontinuities

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

Stable multi-domain spectral penalty methods for fractional partial differential equations

Finite elements in space and time for the analysis of generalised visco-elastic materials

On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method

Droplet activation parameterization: The population-splitting concept revisited

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 concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

Programming with Numerical Uncertainties

Verification methodology for plasma simulations and application to a scrape-off layer turbulence code

Stable multi-domain spectral penalty methods for fractional partial differential equations

Sintering at Particle Scale: An Eulerian Computing Framework to Deal with Strong Topological and Material Discontinuities

On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method

Finite elements in space and time for the analysis of generalised visco-elastic materials

Droplet activation parameterization: The population-splitting concept revisited