Residual-based adaptivity for two-phase flow simulation in porous media using physics-informed neural networks
This paper aims to provide a machine learning framework to simulate two-phase flow in
porous media. The proposed algorithm is based on Physics-informed neural networks …
porous media. The proposed algorithm is based on Physics-informed neural networks …
Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking
This work introduces a new approach to reduce the computational cost of solving partial
differential equations (PDEs) with convection-dominated solutions: model reduction with …
differential equations (PDEs) with convection-dominated solutions: model reduction with …
Accelerated solutions of convection‐dominated partial differential equations using implicit feature tracking and empirical quadrature
This work introduces an empirical quadrature‐based hyperreduction procedure and greedy
training algorithm to effectively reduce the computational cost of solving convection …
training algorithm to effectively reduce the computational cost of solving convection …
Low-rank and sparse approximations for contact mechanics
KS Kollepara - arxiv preprint arxiv:2405.20211, 2024 - arxiv.org
(Rephrased) Non-conformance decision-making processes in high-precision manufacturing
of engineering structures are often delayed due to numerical simulations that are needed for …
of engineering structures are often delayed due to numerical simulations that are needed for …
[BOOK][B] Efficient Hyperreduction via Model Reduction Implicit Feature Tracking with an Accelerated Greedy Approach
MA Mirhoseini - 2023 - search.proquest.com
This work introduces a new approach to reduce the computational cost of solving partial
differential equations (PDEs) with convection-dominated solutions containing discontinuities …
differential equations (PDEs) with convection-dominated solutions containing discontinuities …
Reconstruction of finite volume solution for parameter-dependent linear hyperbolic conservation laws
M Billaud-Friess, T Heuzé - arxiv preprint arxiv:2006.10351, 2020 - arxiv.org
This paper is concerned with the development of suitable numerical method for the
approximation of discontinuous solutions of parameter-dependent linear hyperbolic …
approximation of discontinuous solutions of parameter-dependent linear hyperbolic …