Publications related to A Computational Comparison Between Isogeometric Analysis and Spectral Element Methods: Accuracy and Spectral Properties

An optimal preconditioned FFT-accelerated finite element solver for homogenization

We generalize and provide a linear algebra-based perspective on a finite element (FE) ho-mogenization scheme, pioneered by Schneider et al. (2017)[1] and Leuschner and Fritzen (2018)[2]. The efficiency of the scheme is based on a preconditioned, well-scale ...

ELSEVIER SCIENCE INC2023

Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

Reduced basis methods for numerical room acoustic simulations with parametrized boundaries

Jan Sickmann Hesthaven, Hermes Sampedro Llopis

The use of model-based numerical simulations of wave propagation in rooms for engineering applications requires that acoustic conditions for multiple parameters are evaluated iteratively, which is computationally expensive. We present a reduced basis metho ...

ACOUSTICAL SOC AMER AMER INST PHYSICS2022

Load cell with adjustable stiffness based on a preloaded T-shaped flexure pivot

Simon Nessim Henein, Charles Baur, Loïc Benoît Tissot-Daguette, Michal Stanislaw Smreczak

In this paper, we present a new flexure-based load cell with adjustable stiffness designed for force sensors with extended force range and respective measuring resolution. This novel monolithic mechanism consists of a T-shaped flexure pivot combined with a ...

euspen2021

Energy-based comparison between the Fourier-Galerkin method and the finite element method

Thomas Willem Jan de Geus

The Fourier-Galerkin method (in short FFTH) has gained popularity in numerical homogenisation because it can treat problems with a huge number of degrees of freedom. Because the method incorporates the fast Fourier transform (FFT) in the linear solver, it ...

ELSEVIER2020

Dynamics of optical forces and torques in plasmonic systems: a surface integral equation

Olivier Martin, Karim Achouri, Andrei Kiselev

A novel approach is introduced to determine the time evolution of optical forces and torques on arbitrary shape nanostructures by combining Maxwell's stress tensor with the surface integral equation method (SIE). Conventional time averaging of Maxwell’s st ...

SPIEDigitalLibrary2020

A Fourier-accelerated volume integral method for elastoplastic contact

Jean-François Molinari, Guillaume Anciaux, Lucas Henri Galilée Frérot

The contact of solids with rough surfaces plays a fundamental role in physical phenomena such as friction, wear, sealing, and thermal transfer. However, its simulation is a challenging problem due to surface asperities covering a wide range of length-scale ...

2019

System and method for performing isogeometric analysis and finite element analysis using h-splines

Michaël Unser, Zsuzsanna Püspöki, Daniel Andreas Schmitter

A method for performing H-spline compatible isogeometric analysis (IGA) on a geometric object, the method being performed on a computer device having a memory, the method including the steps of creating an analysis suitable geometry (ASG) using H-splines f ...

2019

An FFT-based Numerical Method for Elasto-Plastic Contact

Jean-François Molinari, Guillaume Anciaux, Lucas Henri Galilée Frérot

Contact of rough surfaces is of prime importance in the study of friction and wear. Numerical simulations are well suited for this non-linear problem, but natural surfaces being fractal [1], they have high discretization requirements. There is therefore a ...

2018

Multi space reduced basis preconditioners for parametrized partial differential equations

Niccolò Dal Santo

The multiquery solution of parametric partial differential equations (PDEs), that is, PDEs depending on a vector of parameters, is computationally challenging and appears in several engineering contexts, such as PDE-constrained optimization, uncertainty qu ...

EPFL2018

A Computational Comparison Between Isogeometric Analysis and Spectral Element Methods: Accuracy and Spectral Properties

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An optimal preconditioned FFT-accelerated finite element solver for homogenization

Localization errors of the stochastic heat equation

Reduced basis methods for numerical room acoustic simulations with parametrized boundaries

Load cell with adjustable stiffness based on a preloaded T-shaped flexure pivot

Energy-based comparison between the Fourier-Galerkin method and the finite element method

Dynamics of optical forces and torques in plasmonic systems: a surface integral equation

A Fourier-accelerated volume integral method for elastoplastic contact

System and method for performing isogeometric analysis and finite element analysis using h-splines

An FFT-based Numerical Method for Elasto-Plastic Contact

Multi space reduced basis preconditioners for parametrized partial differential equations

Reduced basis methods for numerical room acoustic simulations with parametrized boundaries

Localization errors of the stochastic heat equation

An optimal preconditioned FFT-accelerated finite element solver for homogenization

Dynamics of optical forces and torques in plasmonic systems: a surface integral equation

Energy-based comparison between the Fourier-Galerkin method and the finite element method

System and method for performing isogeometric analysis and finite element analysis using h-splines

A Fourier-accelerated volume integral method for elastoplastic contact

An FFT-based Numerical Method for Elasto-Plastic Contact

Load cell with adjustable stiffness based on a preloaded T-shaped flexure pivot

Multi space reduced basis preconditioners for parametrized partial differential equations