Using neural networks to solve the 2D Poisson equation for electric
field computation in plasma fluid simulations

Using neural networks to solve the 2D Poisson equation for electric field computation in plasma fluid simulations

27 September 2021

Ekhi Ajuria Illarramendi

Guillaume Bogopolsky

Papers citing "Using neural networks to solve the 2D Poisson equation for electric field computation in plasma fluid simulations"

11 / 11 papers shown

Title
A Neural-preconditioned Poisson Solver for Mixed Dirichlet and Neumann Boundary Conditions Kai Weixian Lan E. Gueidon Ayano Kaneda Julian Panetta Joseph Teran AI4CE 14 1 0 29 Sep 2023
Physics-Preserving AI-Accelerated Simulations of Plasma Turbulence Thorsten Glüsenkamp Frank Jenko Nils Thuerey AI4CE 32 4 0 28 Sep 2023
Physics-Informed Boundary Integral Networks (PIBI-Nets): A Data-Driven Approach for Solving Partial Differential Equations Monika Nagy-Huber Volker Roth AI4CE PINN 27 3 0 18 Aug 2023
Machine learning for advancing low-temperature plasma modeling and simulation J. Trieschmann Luca Vialetto T. Gergs AI4CE 16 4 0 30 Jun 2023
Towards a Machine-Learned Poisson Solver for Low-Temperature Plasma Simulations in Complex Geometries Ihda Chaerony Siffa M. Becker K. Weltmann J. Trieschmann 30 2 0 13 Jun 2023
Invariant preservation in machine learned PDE solvers via error correction N. McGreivy Ammar Hakim AI4CE PINN 21 8 0 28 Mar 2023
An Implicit GNN Solver for Poisson-like problems Matthieu Nastorg M. Bucci T. Faney J. Gratien Guillaume Charpiat Marc Schoenauer AI4CE 34 2 0 06 Feb 2023
Principled Acceleration of Iterative Numerical Methods Using Machine Learning S. Arisaka Qianxiao Li 13 5 0 17 Jun 2022
Deep Learning Architecture Based Approach For 2D-Simulation of Microwave Plasma Interaction Mihir Desai Pratik Ghosh Ahlad Kumar Bhaskar Chaudhury 27 5 0 02 Jun 2022
Performance and accuracy assessments of an incompressible fluid solver coupled with a deep Convolutional Neural Network Ekhi Ajuria Illarramendi M. Bauerheim B. Cuenot 33 19 0 20 Sep 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 205 2,282 0 18 Oct 2020