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
Finite element interpolated neural networks for solving forward and inverse problems - MaRDI portal

Finite element interpolated neural networks for solving forward and inverse problems (Q6118570)

From MaRDI portal

Jump to:navigation, search

scientific article; zbMATH DE number 7822151

Language	Label	Description	Also known as
English	Finite element interpolated neural networks for solving forward and inverse problems	scientific article; zbMATH DE number 7822151

Statements

scholarly article

0 references

Finite element interpolated neural networks for solving forward and inverse problems (English)

0 references

0 references

10.1016/j.cma.2023.116505

0 references

0 references

0 references

Alberto F. Martín

0 references

Computer Methods in Applied Mechanics and Engineering

0 references

publication date

21 March 2024

0 references

full work available at URL

https://arxiv.org/abs/2306.06304

0 references

Mathematics Subject Classification ID

0 references

0 references

zbMATH DE Number

0 references

zbMATH Keywords

neural networks

0 references

PINNs

0 references

finite elements

0 references

PDE approximation

0 references

inverse problems

0 references

MaRDI profile type

MaRDI publication profile

0 references

0 references

Finite element exterior calculus, homological techniques, and applications

0 references

Composing Scalable Nonlinear Algebraic Solvers

0 references

Multilevel Balancing Domain Decomposition at Extreme Scales

0 references

Scheduling Massively Parallel Multigrid for Multilevel Monte Carlo Methods

0 references

Optimization with PDE Constraints

0 references

A posteriori error estimation in finite element analysis

0 references

Hybrid FEM-NN models: combining artificial neural networks with the finite element method

0 references

A tutorial on the adjoint method for inverse problems

0 references

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

0 references

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

0 references

0 references

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

0 references

On quadrature rules for solving partial differential equations using neural networks

0 references

Preconditioning discretizations of systems of partial differential equations

0 references

A Comparison Study of Deep Galerkin Method and Deep Ritz Method for Elliptic Problems with Different Boundary Conditions

0 references

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

0 references

Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities

0 references

Variational physics informed neural networks: the role of quadratures and test functions

0 references

A penalty method for PDE-constrained optimization in inverse problems

0 references

The software design of gridap: a finite element package based on the Julia JIT compiler

0 references

A second-order-accurate symmetric discretization of the Poisson equation on irregular domains

0 references

Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

0 references

Finite basis physics-informed neural networks (FBPINNs): a scalable domain decomposition approach for solving differential equations

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6118570

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q6118570&oldid=37650497"