research
∙
08/31/2023
Robust Variational Physics-Informed Neural Networks
We introduce a Robust version of the Variational Physics-Informed Neural...
share
research
∙
05/16/2023
Deep Fourier Residual method for solving time-harmonic Maxwell's equations
Solving PDEs with machine learning techniques has become a popular alter...
research
∙
04/04/2023
Machine Learning Discovery of Optimal Quadrature Rules for Isogeometric Analysis
We propose the use of machine learning techniques to find optimal quadra...
research
∙
04/04/2023
Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach
The efficient approximation of parametric PDEs is of tremendous importan...
research
∙
11/07/2022
A Deep Double Ritz Method (D^2RM) for solving Partial Differential Equations using Neural Networks
Residual minimization is a widely used technique for solving Partial Dif...
research
∙
10/25/2022
A Deep Fourier Residual Method for solving PDEs using Neural Networks
When using Neural Networks as trial functions to numerically solve PDEs,...
research
∙
10/19/2022
r-Adaptive Deep Learning Method for Solving Partial Differential Equations
We introduce an r-adaptive algorithm to solve Partial Differential Equat...
research
∙
12/28/2021
Performance of Refined Isogeometric Analysis in Solving Quadratic Eigenvalue Problems
Certain applications that analyze damping effects require the solution o...
research
∙
11/15/2021
Deep-Learning Inversion Method for the Interpretation of Noisy Logging-While-Drilling Resistivity Measurements
Deep Learning (DL) inversion is a promising method for real time interpr...
research
∙
10/30/2021
On quadrature rules for solving Partial Differential Equations using Neural Networks
Neural Networks have been widely used to solve Partial Differential Equa...
research
∙
09/17/2020
Refined isogeometric analysis for generalized Hermitian eigenproblems
We use the refined isogeometric analysis (rIGA) to solve generalized Her...
research
∙
09/17/2020
Database Generation for Deep Learning Inversion of 2.5D Borehole Electromagnetic Measurements using Refined Isogeometric Analysis
Borehole resistivity measurements are routinely inverted in real-time du...
research
∙
07/17/2020
Residual minimization for goal-oriented adaptivity
In [12], the authors introduce an adaptive, stabilized finite element me...
research
∙
05/18/2020
