Flow reconstruction by multiresolution optimization of a discrete loss with automatic differentiation

INFERNO: Galactic winds in dwarf galaxies with star-by-star simulations including runaway stars

(2023) Eric P Andersson et al.   MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY

Asymptotic Self-Similar Blow-Up Profile for Three-Dimensional Axisymmetric Euler Equations Using Neural Networks

(2023) Y. Wang et al.   PHYSICAL REVIEW LETTERS

Computing foaming flows across scales: From breaking waves to microfluidics

(2022) Petr Karnakov et al.   Science Advances

Fluid dynamic shape optimization using self-adapting nonlinear extension operators with multigrid preconditioners

(2022) Jose Pinzon et al.   OPTIMIZATION AND ENGINEERING

Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs

(2021) Siddhartha Mishra et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Extreme flow simulations reveal skeletal adaptations of deep-sea sponges

(2021) Giacomo Falcucci et al.   NATURE

SciPy 1.0: fundamental algorithms for scientific computing in Python

(2020) Pauli Virtanen et al.   NATURE METHODS

Physics-informed neural networks for multiphysics data assimilation with application to subsurface transport

(2020) QiZhi He et al.   ADVANCES IN WATER RESOURCES

Zermelo’s problem: Optimal point-to-point navigation in 2D turbulent flows using reinforcement learning

(2019) L. Biferale et al.   CHAOS

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Electrical Resistivity Tomography using a finite element based BFGS algorithm with algebraic multigrid preconditioning

(2017) A L Codd et al.   GEOPHYSICAL JOURNAL INTERNATIONAL

Algorithmic Aspects of Multigrid Methods for Optimization in Shape Spaces

(2017) Martin Siebenborn et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

AmgX: A Library for GPU Accelerated Algebraic Multigrid and Preconditioned Iterative Methods

(2015) M. Naumov et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING