19 citations · 46 across the 9 of their papers we have counts for
9 papers
A Superconducting Levitating Oscillator with < 1 Hz Resonance Linewidth
M. Arrayás, J. L. Trueba, C. Uriarte +5
Experiments aimed at quantifying the interface between quantum and classical physics necessarily require a high degree of isolation from the environment: wavefunction collapse and…
Robust Deep FOSLS for Transmission Problems
Alejandro Duque, Paulina Sepúlveda, Carlos Uriarte +2
This work presents a robust, energy-based deep learning framework for solving transmission problems in heterogeneous media, including cases with discontinuous material scenarios. W…
An -adaptive finite element method using neural networks for parametric self-adjoint elliptic problem
Danilo Aballay, Federico Fuentes, Vicente Iligaray +5
This work proposes an -adaptive finite element method (FEM) using neural networks (NNs). The method employs the Ritz energy functional as the loss function, currently limiting i…
A Least-Squares-Based Neural Network (LS-Net) for Solving Linear Parametric PDEs
Shima Baharlouei, Jamie M. Taylor, Carlos Uriarte +1
Developing efficient methods for solving parametric partial differential equations is crucial for addressing inverse problems. This work introduces a Least-Squares-based Neural Net…
Optimizing Variational Physics-Informed Neural Networks Using Least Squares
Carlos Uriarte, Manuela Bastidas, David Pardo +2
Variational Physics-Informed Neural Networks often suffer from poor convergence when using stochastic gradient-descent-based optimizers. By introducing a Least Squares solver for t…
A Deep Double Ritz Method (DRM) for solving Partial Differential Equations using Neural Networks
Carlos Uriarte, David Pardo, Ignacio Muga +1
Residual minimization is a widely used technique for solving Partial Differential Equations in variational form. It minimizes the dual norm of the residual, which naturally yields…
Progress on levitating a sphere in cryogenic fluids
Manuel Arrayás, Francis Bettsworth, Richard Haley +5
We present the working prototype of a levitation system designed for investigation of flows in cryogenic helium fluids. The current device allows the levitation of a superconductin…
Levitating frogs, machine learning and elliptic integrals
M. Arrayás, J. L. Trueba, C. Uriarte
We present the calculation of the stability region of a perfect diamagnet levitated in a magnetic field created by a circular current loop. We make use of the machine learning tech…
Design of a system for controlling a levitating sphere in superfluid He at extremely low temperatures
M. Arrayás, José L. Trueba, Carlos Uriarte +1
We present a new mechanical probe to study the properties of superfluid He at microkelvin temperatures down to 100K. The setup consists of a set of coils for levitating a su…