Projects
Reading
People
Chat
SU\G
(𝔸)
/K·U
Projects
Reading
People
Chat
Sign Up
Light
Dark
System
Convolutional Neural Networks for the Solution of the 2D Poisson Equation with Arbitrary Dirichlet Boundary Conditions, Mesh Sizes and Grid Spacings
Ali Girayhan Özbay
,
Panagiotis Tzirakis
,
Georgios Rizos
,
Björn Schüller
,
Sylvain Laizet
Type:
Article
Publication Date:
2019-11-26
Citations:
0
View Publication
Share
Locations
Bulletin of the American Physical Society -
View
Similar Works
Action
Title
Year
Authors
+
Poisson CNN: Convolutional Neural Networks for the Solution of the Poisson Equation with Varying Meshes and Dirichlet Boundary Conditions
2019
Ali Girayhan Özbay
Sylvain Laizet
Panagiotis Tzirakis
Georgios Rizos
Björn Schüller
+
PDF
Chat
Poisson CNN: Convolutional neural networks for the solution of the Poisson equation on a Cartesian mesh
2021
Ali Girayhan Özbay
Arash Hamzehloo
Sylvain Laizet
Panagiotis Tzirakis
Georgios Rizos
Björn Schüller
+
An Implicit GNN Solver for Poisson-like problems
2023
Matthieu Nastorg
Michele-Alessandro Bucci
Thibault Faney
Jean-Marc Gratien
Guillaume Charpiat
Marc Schoenauer
+
Exact and soft boundary conditions in Physics-Informed Neural Networks for the Variable Coefficient Poisson equation
2023
Sebastian Barschkis
+
PDF
Chat
Solving the Poisson Equation with Dirichlet data by shallow ReLU$^\alpha$-networks: A regularity and approximation perspective
2024
Malhar Vaishampayan
Stephan Wojtowytsch
+
Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions
2020
Philipp Grohs
Lukas Herrmann
+
Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions
2020
Philipp Grohs
Lukas Herrmann
+
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks
2023
Mathias Dus
Virginie Ehrlacher
+
PDF
Chat
Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions
2021
Philipp Grohs
Lukas Herrmann
+
DS-GPS : A Deep Statistical Graph Poisson Solver (for faster CFD simulations)
2022
Matthieu Nastorg
Marc Schoenauer
Guillaume Charpiat
Thibault Faney
Jean-Marc Gratien
Michele-Alessandro Bucci
+
PhyGeoNet: Physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular domain
2020
Han Gao
Luning Sun
Jianxun Wang
+
PDF
Chat
Neural Pde Solvers for Irregular Domains
2023
Biswajit Khara
Ethan Herron
Aditya Balu
Chih-Hsuan Yang
Kumar Saurabh
Anushrut Jignasu
Zhanhong Jiang
Soumik Sarkar
Chinmay Hegde
Baskar Ganapathysubramanian
+
Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Condition
2022
Chenguang Duan
Yuling Jiao
Yanming Lai
Xiaoguang Lu
Qimeng Quan
Jerry Zhijian Yang Jerry Zhijian Yang
+
Large-scale Neural Solvers for Partial Differential Equations
2020
Patrick Stiller
Friedrich Bethke
Maximilian Böhme
Richard Pausch
Sunna Torge
Alexander Debus
Jan Vorberger
Michael Bußmann
Nico Hoffmann
+
Large-scale Neural Solvers for Partial Differential Equations
2020
Patrick Stiller
Friedrich Bethke
Maximilian Böhme
Richard Pausch
Sunna Torge
Alexander Debus
Jan Vorberger
Michael Bußmann
Nico Hoffmann
+
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks
2024
Mathias Dus
Virginie Ehrlacher
+
A hybrid finite element/neural network solver and its application to the Poisson problem
2023
Uladzislau Kapustsin
Utku Kaya
Thomas Richter
+
Train Once and Use Forever: Solving Boundary Value Problems in Unseen Domains with Pre-trained Deep Learning Models.
2021
Hengjie Wang
Robert Planas
Aparna Chandramowlishwaran
Ramin Bostanabad
+
PDF
Chat
A Review of Neural Network Solvers for Second-order Boundary Value Problems
2024
Ramesh Sau
Luowei Yin
+
A Neural-preconditioned Poisson Solver for Mixed Dirichlet and Neumann Boundary Conditions
2023
Weixian Lan
Elias Gueidon
Ayano Kaneda
Julian Panetta
Joseph Teran
Works That Cite This (0)
Action
Title
Year
Authors
Works Cited by This (0)
Action
Title
Year
Authors