Cover Image

Self-adaptive physics-informed neural network for forward and inverse problems in heterogeneous porous flow

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Aziz, Md. Abdul, Strauss, Thilo, Mohebujjaman, Muhammad, Khan, Taufiquar
Format:	Preprint
Published:	2025
Subjects:	Fluid Dynamics Numerical Analysis 65N22, 65N30, 76S05, 35R30, 68T07
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Finite element analysis for a Herrmann pressure formulation of the elastoacoustic problem with variable coefficients
by: Khan, Arbaz, et al.
Published: (2025)

Interior penalty discontinuous Galerkin methods for the nearly incompressible elasticity eigenvalue problem with heterogeneous media
by: Khan, Arbaz, et al.
Published: (2024)

Machine learning for hydrodynamic stability
by: Silvester, David J.
Published: (2024)

Trefftz Discontinuous Galerkin discretization for the Stokes problem
by: Lederer, Philip L., et al.
Published: (2023)

Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes
by: da Veiga, Lourenço Beirão, et al.
Published: (2021)

A Hybrid High-Order method for the power-law Brinkman problem with robust error estimates in all regimes
by: Quiroz, Daniel Castañón, et al.
Published: (2025)

H(curl)-based approximation of the Stokes problem with weakly enforced no-slip boundary conditions
by: Boon, Wietse M., et al.
Published: (2025)

Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure
by: Botti, Lorenzo, et al.
Published: (2024)

An $hp$ Error Analysis of HDG for Linear Fluid-Structure Interaction
by: Meddahi, Salim
Published: (2024)

A Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems
by: Hauck, Moritz, et al.
Published: (2024)

A High-Order Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems
by: Hauck, Moritz, et al.
Published: (2025)

An arbitrary-order fully discrete Stokes complex on general polyhedral meshes
by: Hanot, Marien-Lorenzo
Published: (2021)

The pressure-wired Stokes element: a mesh-robust version of the Scott-Vogelius element
by: Gräßle, Benedikt, et al.
Published: (2022)

A uniform and pressure-robust enriched Galerkin method for the Brinkman equations
by: Lee, Seulip, et al.
Published: (2023)

A local Fortin projection for the Scott-Vogelius elements on general meshes
by: Eickmann, Franziska, et al.
Published: (2025)

Pressure-improved Scott-Vogelius type elements
by: Bohne, Nis-Erik, et al.
Published: (2024)

A Reynolds-semi-robust method with hybrid velocity and pressure for the unsteady incompressible Navier--Stokes equations
by: da Veiga, Lourenço Beirão, et al.
Published: (2025)

A hybrid pressure formulation of the face-centred finite volume method for viscous laminar incompressible flows
by: Giacomini, Matteo, et al.
Published: (2025)

Efficient multigrid solvers for mixed-degree local discontinuous Galerkin multiphase Stokes problems
by: Saye, Robert I.
Published: (2025)

Divergence conforming finite element methods for flow-transport coupling with osmotic effects
by: Khan, Arbaz, et al.
Published: (2024)

Convergence analysis and adaptive computation of a Banach-space mixed finite element method for generalized bioconvective flows
by: Colmenares, Eligio, et al.
Published: (2026)

Pressure-robustness for the axisymmetric Stokes problem by velocity reconstruction
by: Lederer, Philip L., et al.
Published: (2026)

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions
by: Eickmann, Franziska, et al.
Published: (2025)

A comparative study of efficient multigrid solvers for high-order local discontinuous Galerkin methods: Poisson, elliptic interface, and multiphase Stokes problems
by: Saye, Robert I.
Published: (2024)

Adaptive Mixed FEM for the Stokes eigenvalue problem
by: Boffi, Daniele, et al.
Published: (2024)

Preconditioners for the Onsager-Stefan-Maxwell equations for multicomponent diffusion
by: Knook, Kars, et al.
Published: (2026)

A HHO formulation for variable density incompressible flows where the density is purely advected
by: Botti, Lorenzo, et al.
Published: (2025)

Preconditioning of a hybridizable discontinuous Galerkin method for the coupled Stokes--Darcy system
by: Henríquez, Esteban, et al.
Published: (2026)

Discontinuous hybrid neural networks for the one-dimensional partial differential equations
by: Wang, Xiaoyu, et al.
Published: (2025)

A framework of discontinuous Galerkin neural networks for iteratively approximating residuals
by: Yuan, Long, et al.
Published: (2025)

A finite element formulation for incompressible viscous flow based on the principle of minimum pressure gradient
by: Rimoli, Julian J.
Published: (2026)

Convergence analysis of iterative solution with inexact block preconditioning for weak Galerkin finite element approximation of Stokes flow
by: Huang, Weizhang, et al.
Published: (2024)

A general regularization strategy for singular Stokes problems and convergence analysis for corresponding discretization and iterative solution
by: Huang, Weizhang, et al.
Published: (2025)

Parametric Finite Element Discretization of the Surface Stokes Equations
by: Hardering, Hanne, et al.
Published: (2023)

$C^1$ virtual element methods on polygonal meshes with curved edges
by: da Veiga, L. Beirão, et al.
Published: (2024)

A discontinuous Galerkin plane wave neural network method for Helmholtz equation and Maxwell's equations
by: Yuan, Long, et al.
Published: (2025)

Divergence-free unfitted finite element discretisations for the Darcy problem
by: Badia, Santiago, et al.
Published: (2026)

Exact Integration for singular Zienkiewicz and Guzman-Neilan Finite Elements with Implementation
by: Diening, Lars, et al.
Published: (2024)

A Nitsche method for incompressible fluids with general dynamic boundary conditions
by: Gazca-Orozco, Pablo Alexei, et al.
Published: (2025)

A locally mass-conservative enriched Petrov-Galerkin method without penalty for the Darcy flow in porous media
by: Chen, Huangxin, et al.
Published: (2024)