Results 241 to 245 of about 35,710 (245)

Physics-informed Deep Learning to Solve Three-dimensional Terzaghi Consolidation Equation: Forward and Inverse Problems

The Arabian journal for science and engineering
Physics-informed neural networks (PINNs) have recently gained traction in geotechnical engineering for solving partial differential equations (PDEs), particularly the one-dimensional Terzaghi consolidation equation.
Biao Yuan, Ana Heitor, He Wang, Xiaohui Chen   +3 more
semanticscholar   +1 more source

Anisotropic variational models and PDEs for inverse imaging problems

2019
In this thesis we study new anisotropic variational regularisers and partial differential equations (PDEs) for solving inverse imaging problems that arise in a variety of real-world applications. Firstly, we introduce a new anisotropic higher-order total directional variation regulariser.
openaire   +2 more sources

Computational Aspects of Solving Inverse Problems for Elliptic PDEs on Perforated Domains Using the Collage Method

, 2016
H. Kunze, D. Torre
semanticscholar   +1 more source

PDE-Aware Deep Learning for Inverse Problems in Cardiac Electrophysiology

SIAM Journal on Scientific Computing, 2022
Riccardo Tenderini, Stefano Pagani, Alfio Quarteroni, Simone Deparis   +3 more
openaire   +1 more source

Fast algorithms for iterative Bayesian PDE inversion

2018
In this article we present algorithms to perform Bayesian inversion based on physical models, in particular based on partial differential equations. We are interested in identifying parameters of the PDEs that affect functionals of the solutions for which experimental data are available.
openaire   +1 more source