Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks

17 April 2021

Papers citing "Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks"

50 / 76 papers shown

Title
Solving Nonlinear PDEs with Sparse Radial Basis Function Networks Zihan Shao Konstantin Pieper Xiaochuan Tian 31 0 0 12 May 2025
Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Conor Rowan K. Maute Alireza Doostan AI4CE 48 0 0 08 May 2025
Physics-informed neural network estimation of active material properties in time-dependent cardiac biomechanical models Matthias Höfler Francesco Regazzoni S. Pagani Elias Karabelas Christoph M. Augustin Gundolf Haase Gernot Plank Federica Caforio 29 0 0 06 May 2025
Multi-level datasets training method in Physics-Informed Neural Networks Yao-Hsuan Tsai Hsiao-Tung Juan Pao-Hsiung Chiu Chao-An Lin AI4CE 39 0 0 30 Apr 2025
Reliable and Efficient Inverse Analysis using Physics-Informed Neural Networks with Distance Functions and Adaptive Weight Tuning Shota Deguchi Mitsuteru Asai PINN AI4CE 81 0 0 25 Apr 2025
Hard-constraining Neumann boundary conditions in physics-informed neural networks via Fourier feature embeddings Christopher Straub Philipp Brendel Vlad Medvedev A. Rosskopf 43 0 0 01 Apr 2025
Solving 2-D Helmholtz equation in the rectangular, circular, and elliptical domains using neural networks D. Veerababu Prasanta K. Ghosh 73 0 0 26 Mar 2025
Physics-constrained DeepONet for Surrogate CFD models: a curved backward-facing step case Anas Jnini Harshinee Goordoyal Sujal Dave Flavio Vella Katharine H. Fraser Artem Korobenko PINN 72 2 0 14 Mar 2025
Variational formulation based on duality to solve partial differential equations: Use of B-splines and machine learning approximants N. Sukumar Amit Acharya 81 2 0 02 Dec 2024
The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learning Ruben Ohana Michael McCabe Lucas Meyer Rudy Morel Fruzsina J. Agocs ... François Rozet Liam Parker M. Cranmer S. Ho Shirley Ho PINN AI4CE 74 8 1 30 Nov 2024
Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases Madison Cooley Varun Shankar Robert M. Kirby Shandian Zhe 32 2 0 04 Oct 2024
Deep Learning Alternatives of the Kolmogorov Superposition Theorem Leonardo Ferreira Guilhoto P. Perdikaris 50 7 0 02 Oct 2024
Physics aware machine learning for micromagnetic energy minimization: recent algorithmic developments Sebastian Schaffer T. Schrefl Harald Oezelt Norbert J Mauser Lukas Exl AI4CE 20 0 0 19 Sep 2024
A Primer on Variational Inference for Physics-Informed Deep Generative Modelling Alex Glyn-Davies Arnaud Vadeboncoeur O. Deniz Akyildiz Ieva Kazlauskaite Mark Girolami PINN 70 0 0 10 Sep 2024
Accelerating the discovery of steady-states of planetary interior dynamics with machine learning Siddhant Agarwal Nicola Tosi Christian Huttig David S. Greenberg A. Bekar AI4CE 25 1 0 30 Aug 2024
Improving PINNs By Algebraic Inclusion of Boundary and Initial Conditions Mohan Ren Zhihao Fang Keren Li Anirbit Mukherjee PINN AI4CE 53 0 0 30 Jul 2024
Differentiable Neural-Integrated Meshfree Method for Forward and Inverse Modeling of Finite Strain Hyperelasticity Honghui Du Binyao Guo QiZhi He AI4CE 38 0 0 15 Jul 2024
WANCO: Weak Adversarial Networks for Constrained Optimization problems Gang Bao Dong Wang Boyi Zou 52 1 0 04 Jul 2024
Two-level overlapping additive Schwarz preconditioner for training scientific machine learning applications Youngkyu Lee Alena Kopanicáková George Karniadakis AI4CE 49 0 0 16 Jun 2024
Extremization to Fine Tune Physics Informed Neural Networks for Solving Boundary Value Problems A. Thiruthummal Sergiy Shelyag Eun-Jin Kim 33 2 0 07 Jun 2024
Astral: training physics-informed neural networks with error majorants V. Fanaskov Tianchi Yu Alexander Rudikov Ivan Oseledets 38 1 0 04 Jun 2024
Unveiling the optimization process of Physics Informed Neural Networks: How accurate and competitive can PINNs be? Jorge F. Urbán P. Stefanou José A. Pons PINN 45 6 0 07 May 2024
Gas Source Localization Using physics Guided Neural Networks Victor Scott Prieto Ruiz Patrick Hinsen Thomas Wiedemann Constantin Christof D. Shutin 19 2 0 07 May 2024
BiLO: Bilevel Local Operator Learning for PDE inverse problems Ray Zirui Zhang Xiaohui Xie John S. Lowengrub 68 1 0 27 Apr 2024
Learning in PINNs: Phase transition, total diffusion, and generalization Sokratis J. Anagnostopoulos Juan Diego Toscano Nikolaos Stergiopulos George Karniadakis 32 10 0 27 Mar 2024
Boundary-Aware Value Function Generation for Safe Stochastic Motion Planning Junhong Xu Kai-Li Yin Jason M. Gregory Kris Hauser Lantao Liu 37 1 0 22 Mar 2024
Physics-Guided Neural Networks for Intraventricular Vector Flow Mapping Han Ling Salomé Bru Julia Puig F. Vixège Simon Mendez Franck Nicoud P. Courand Olivier Bernard Damien Garcia 49 6 0 19 Mar 2024
Scaling physics-informed hard constraints with mixture-of-experts N. Chalapathi Yiheng Du Aditi Krishnapriyan AI4CE 40 12 0 20 Feb 2024
Diffeomorphism Neural Operator for various domains and parameters of partial differential equations Zhiwei Zhao Changqing Liu Yingguang Li Zhibin Chen Xu Liu AI4CE MedIm 33 3 0 19 Feb 2024
Exact Enforcement of Temporal Continuity in Sequential Physics-Informed Neural Networks Pratanu Roy Stephen T Castonguay PINN AI4TS 49 9 0 15 Feb 2024
Densely Multiplied Physics Informed Neural Networks Feilong Jiang Xiaonan Hou Min Xia PINN 19 2 0 06 Feb 2024
Learning Domain-Independent Green's Function For Elliptic Partial Differential Equations Pawan Negi Maggie Cheng Mahesh Krishnamurthy Wenjun Ying Shuwang Li 23 1 0 30 Jan 2024
Hybrid Modeling Design Patterns Maja Rudolph Stefan Kurz Barbara Rakitsch AI4CE 31 8 0 29 Dec 2023
PINN surrogate of Li-ion battery models for parameter inference. Part I: Implementation and multi-fidelity hierarchies for the single-particle model M. Hassanaly Peter J. Weddle Ryan N. King Subhayan De Alireza Doostan Corey R. Randall Eric J. Dufek Andrew M. Colclasure Kandler Smith 26 7 0 28 Dec 2023
Efficient Discrete Physics-informed Neural Networks for Addressing Evolutionary Partial Differential Equations Siqi Chen Bin Shan Ye Li AI4CE PINN 23 1 0 22 Dec 2023
Physics-informed neural networks for transformed geometries and manifolds Samuel Burbulla AI4CE 29 0 0 27 Nov 2023
Zero Coordinate Shift: Whetted Automatic Differentiation for Physics-informed Operator Learning Kuangdai Leng Mallikarjun Shankar Jeyan Thiyagalingam 34 2 0 01 Nov 2023
Domain decomposition-based coupling of physics-informed neural networks via the Schwarz alternating method Will Snyder Irina Tezaur Christopher Wentland 29 4 0 01 Nov 2023
Physics-informed neural wavefields with Gabor basis functions T. Alkhalifah Xinquan Huang 28 13 0 16 Oct 2023
Randomized Sparse Neural Galerkin Schemes for Solving Evolution Equations with Deep Networks Jules Berman Benjamin Peherstorfer 26 13 0 07 Oct 2023
Variational Barycentric Coordinates Ana Dodik Oded Stein Vincent Sitzmann Justin Solomon 43 12 0 05 Oct 2023
Exact and soft boundary conditions in Physics-Informed Neural Networks for the Variable Coefficient Poisson equation Sebastian Barschkis 26 1 0 04 Oct 2023
An Expert's Guide to Training Physics-informed Neural Networks Sizhuang He Shyam Sankaran Hanwen Wang P. Perdikaris PINN 28 99 0 16 Aug 2023
The Hard-Constraint PINNs for Interface Optimal Control Problems M. Lai Yongcun Song Xiaoming Yuan Hangrui Yue Tianyou Zeng PINN 26 2 0 13 Aug 2023
Residual-based attention and connection to information bottleneck theory in PINNs Sokratis J. Anagnostopoulos Juan Diego Toscano Nikos Stergiopulos George Karniadakis 25 20 0 01 Jul 2023
Enhancing training of physics-informed neural networks using domain-decomposition based preconditioning strategies Alena Kopanicáková Hardik Kothari George Karniadakis Rolf Krause AI4CE 32 18 0 30 Jun 2023
Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equations Tengfei Xu Dachuan Liu Peng Hao Bo Wang 39 4 0 09 Apr 2023
A physics-informed neural network framework for modeling obstacle-related equations Hamid EL Bahja J. C. Hauffen P. Jung B. Bah Issa Karambal PINN AI4CE 31 4 0 07 Apr 2023
Boundary-to-Solution Mapping for Groundwater Flows in a Toth Basin Jin-Jin Sun Jun Li Y. Hao Cuiting Qi Chunmei Ma Huazhi Sun N. Begashaw Gurcan Comet Yi-mei Sun Qi Wang 18 2 0 28 Mar 2023
Random Grid Neural Processes for Parametric Partial Differential Equations Arnaud Vadeboncoeur Ieva Kazlauskaite Y. Papandreou F. Cirak Mark Girolami Ömer Deniz Akyildiz AI4CE 28 11 0 26 Jan 2023