Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
A deep domain decomposition method based on Fourier features - MaRDI portal

A deep domain decomposition method based on Fourier features (Q2112697)

From MaRDI portal

Jump to:navigation, search

scientific article

Language	Label	Description	Also known as
English	A deep domain decomposition method based on Fourier features	scientific article

Statements

scholarly article

0 references

A deep domain decomposition method based on Fourier features (English)

0 references

0 references

Journal of Computational and Applied Mathematics

0 references

publication date

11 January 2023

0 references

full work available at URL

https://arxiv.org/abs/2205.01884

0 references

zbMATH Keywords

partial differential equations

0 references

domain decomposition

0 references

deep learning

0 references

random Fourier features

0 references

neural networks

0 references

describes a project that uses

0 references

0 references

0 references

MaRDI profile type

MaRDI publication profile

0 references

A proposal on machine learning via dynamical systems

0 references

The Deep Ritz Method: a deep learning-based numerical algorithm for solving variational problems

0 references

Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

0 references

DGM: a deep learning algorithm for solving partial differential equations

0 references

Bayesian deep convolutional encoder-decoder networks for surrogate modeling and uncertainty quantification

0 references

Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data

0 references

Deep multiscale model learning

0 references

PFNN: a penalty-free neural network method for solving a class of second-order boundary-value problems on complex geometries

0 references

PhyGeoNet: physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular domain

0 references

A mesh-free method for interface problems using the deep learning approach

0 references

MIM: a deep mixed residual method for solving high-order partial differential equations

0 references

Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks

0 references

A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

0 references

Multi-Scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains

0 references

Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

0 references

On the eigenvector bias of Fourier feature networks: from regression to solving multi-scale PDEs with physics-informed neural networks

0 references

0 references

0 references

Conservative physics-informed neural networks on discrete domains for conservation laws: applications to forward and inverse problems

0 references

\textit{hp}-VPINNs: variational physics-informed neural networks with domain decomposition

0 references

Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations

0 references

PFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations

0 references

Finite Elements and Fast Iterative Solvers

0 references

0 references

0 references

Optimization Methods for Large-Scale Machine Learning

0 references

0 references

Geometry Related Convergence Results for Domain Decomposition Algorithms

0 references

Domain Decomposition Algorithms for Indefinite Elliptic Problems

0 references

Additive Schwarz algorithms for parabolic convection-diffusion equations

0 references

Multiplicative Schwarz Methods for Parabolic Problems

0 references

Multilevel Space-Time Additive Schwarz Methods for Parabolic Equations

0 references

An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems

0 references

0 references

A robust domain decomposition method for the Helmholtz equation with high wave number

0 references

An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems

0 references

A balancing domain decomposition method by constraints for advection-diffusion problems

0 references

Multiscale domain decomposition methods for elliptic problems with high aspect ratios

0 references

Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media

0 references

Adaptive deep density approximation for Fokker-Planck equations

0 references

When and why PINNs fail to train: a neural tangent kernel perspective

0 references

Identifiers

zbMATH Open document ID

0 references

10.1016/j.cam.2022.114963

0 references

Mathematics Subject Classification ID

0 references

0 references

zbMATH DE Number

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2112697

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q2112697&oldid=37477779"