A review of nonlinear FFT-based computational homogenization methods

M Schneider - Acta Mechanica, 2021 - Springer
Since their inception, computational homogenization methods based on the fast Fourier
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …

mpi4py: Status update after 12 years of development

L Dalcin, YLL Fang - Computing in Science & Engineering, 2021 - ieeexplore.ieee.org
MPI for Python (mpi4py) has evolved to become the most used Python binding for the
message passing interface (MPI). We report on various improvements and features that …

Model-parallel Fourier neural operators as learned surrogates for large-scale parametric PDEs

TJ Grady, R Khan, M Louboutin, Z Yin, PA Witte… - Computers & …, 2023 - Elsevier
Fourier neural operators (FNOs) are a recently introduced neural network architecture for
learning solution operators of partial differential equations (PDEs), which have been shown …

GPU acceleration of extreme scale pseudo-spectral simulations of turbulence using asynchronism

K Ravikumar, D Appelhans, PK Yeung - Proceedings of the International …, 2019 - dl.acm.org
This paper presents new advances in GPU-driven Fourier pseudo-spectral numerical
algorithms, which allow the simulation of turbulent fluid flow at problem sizes beyond the …

Gauge preheating with full general relativity

P Adshead, JT Giblin, R Grutkoski… - Journal of Cosmology …, 2024 - iopscience.iop.org
We study gauge preheating following pseudoscalar-driven inflation in full general relativity.
We implement the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) scheme to solve the full …

[HTML][HTML] A wavelet-enhanced adaptive hierarchical FFT-based approach for the efficient solution of microscale boundary value problems

T Kaiser, T Raasch, JJC Remmers… - Computer Methods in …, 2023 - Elsevier
This contribution focuses on the development of an adaptive hierarchical FFT-based
approach for the efficient solution of microscale boundary value problems. To this end, the …

Nonperturbative structure in coupled axion sectors and implications for direct detection

D Cyncynates, O Simon, JO Thompson, ZJ Weiner - Physical Review D, 2022 - APS
Pairs of misalignment-produced axions with nearby masses can experience a nonlinear
resonance that leads to enhanced direct and astrophysical signatures of axion dark matter …

Data‐physics driven reduced order homogenization

J Fish, Y Yu - International Journal for Numerical Methods in …, 2023 - Wiley Online Library
A hybrid data‐physics driven reduced‐order homogenization (dpROH) approach aimed at
improving the accuracy of the physics‐based reduced order homogenization (pROH), but …

Constraining early dark energy with gravitational waves before recombination

ZJ Weiner, P Adshead, JT Giblin Jr - Physical Review D, 2021 - APS
We show that the nonperturbative decay of ultralight scalars into Abelian gauge bosons,
recently proposed as a possible solution to the Hubble tension, produces a stochastic …

Solver-free reduced order homogenization for nonlinear periodic heterogeneous media

A Beel, J Fish - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Reduced-order homogenization (ROH) and related methods are important computational
tools for simulating the material behavior of composites. These methods generally sacrifice …