A combination of physics-informed neural networks with the fixed-stress splitting iteration for solving Biot's model

A combination of physics-informed neural networks with the fixed-stress splitting iteration for solving Biot's model

IntroductionBiot's consolidation model in poroelasticity describes the interaction between the fluid and the deformable porous structure. Based on the fixed-stress splitting iterative method proposed by Mikelic et al. (Computat Geosci, 2013), we present a network approach to solve Biot's c...

Bibliografske podrobnosti
Main Authors:	Mingchao Cai, Huipeng Gu, Pengxiang Hong, Jingzhi Li
Format:	Article
Jezik:	English
Izdano:	Frontiers Media S.A. 2023-08-01
Serija:	Frontiers in Applied Mathematics and Statistics
Teme:	physics-informed neural networks the fixed-stress method Biot's model iterative algorithm separated networks
Online dostop:	https://www.frontiersin.org/articles/10.3389/fams.2023.1206500/full

Podobne knjige/članki

Estimation of the Biot Number Using Genetic Algorithms: Application for the Drying Process
od: Krzysztof Górnicki, et al.
Izdano: (2019-07-01)

An alternating iteration algorithm for solving the split equality fixed point problem with L-Lipschitz and quasi-pseudo-contractive mappings
od: Meixia Li, et al.
Izdano: (2019-09-01)

Some fixed point iteration procedures
od: B. E. Rhoades
Izdano: (1991-01-01)

Anisotropic error estimator for the Stokes–Biot system
od: Houédanou Koffi Wilfrid
Izdano: (2024-12-01)

The Influence of Rate of Change in Confining and Pore Pressure on Values of the Modulus of Compressibility of the Rock Skeleton and Biot’s Coefficient
od: Andrzej Nowakowski
Izdano: (2021-05-01)

Biot–Savart law in the geometrical theory of dislocations
od: Shunsuke Kobayashi, et al.
Izdano: (2025-03-01)

Finite volume method for one dimensional biot poroelasticity system in multilayered domains
od: Mehran Namjoo, et al.
Izdano: (2013-01-01)

On the Poroelastic Biot Coefficient for a Granitic Rock
od: A. P. S. Selvadurai
Izdano: (2021-05-01)

On split equality fixed-point problems
od: L.B. Mohammed, et al.
Izdano: (2023-03-01)

Iterative Algorithms for Split Common Fixed Point Problem Involved in Pseudo-Contractive Operators without Lipschitz Assumption
od: Jinzuo Chen, et al.
Izdano: (2019-08-01)

The Rise of Blockchain Internet of Things (BIoT): Secured, Device-to-Device Architecture and Simulation Scenarios
od: Arun Rana, et al.
Izdano: (2022-07-01)

Iterative methods to solve the constrained Sylvester equation
od: Siting Yu, et al.
Izdano: (2023-07-01)

Simplified Limp Frame Model for Application to Nanofiber Nonwovens (Selection of Dominant Biot Parameters)
od: Shuichi Sakamoto, et al.
Izdano: (2022-09-01)

Iterative Approximation of Fixed Points [electronic book]/
od: 378251 Berinde, Vasile
Izdano: (2007)

Permeability monitoring of underground concrete structures using elastic wave characteristics with modified Biot’s model
od: Jong-Won Lee, et al.
Izdano: (2024-09-01)

Numerical analysis of road pavement thermal deformability, based on Biot viscoelastic model of porous medium
od: Bartlewska-Urban Monika, et al.
Izdano: (2016-03-01)

Iterative methods for vector equilibrium and fixed point problems in Hilbert spaces
od: San-hua Wang, et al.
Izdano: (2022-10-01)

The Split Equality Fixed-Point Problem and Its Applications
od: Lawan Bulama Mohammed, et al.
Izdano: (2024-07-01)

Aspects regarding the existence of fixed points of the iterates of Stancu operators
od: Amelia Bucur
Izdano: (2019-12-01)

Solving Linear Equations Using Matrix Splitting for Iterative Discrete-Time Methods in Neural Networks
od: Essa I. Essa
Izdano: (2007-12-01)

Brownian motion with radioactive decay to calculate the dynamic bulk modulus of gases saturating porous media according to Biot theory
od: Lafarge Denis, et al.
Izdano: (2023-01-01)

Iterative algorithms of common solutions for a hierarchical fixed point problem, a system of variational inequalities, and a split equilibrium problem in Hilbert spaces
od: Yali Zhao, et al.
Izdano: (2021-06-01)

Dynamic Responses of Saturated Soil Foundation Subjected to Plane Wave Based on Nonlocal-Biot Theory
od: WANG Ning, DING Haibin, TONG Lihong, JIANG Yalong
Izdano: (2021-06-01)

Fixed point results of an implicit iterative scheme for fractal generations
od: Haixia Zhang, et al.
Izdano: (2021-09-01)

A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm
od: Nishu Gupta, et al.
Izdano: (2021-02-01)

Strong Convergence Theorems of Viscosity Iterative Algorithms for Split Common Fixed Point Problems
od: Peichao Duan, et al.
Izdano: (2018-12-01)

Le théorème de Biot et le changement de variable de Biot–Auer–Standish : commentaire historique
od: Dettwiller, Luc
Izdano: (2023-02-01)

Solving Equilibrium Problem and Fixed Point Problem by Normal S-iteration Process in Hilbert Space
od: Shamshad Husain, et al.
Izdano: (2022-01-01)

A Generalization of Fixed-Point Theorems for Mappings with a Contractive Iterate
od: Valentin Georgiev, et al.
Izdano: (2024-11-01)

BIoT Smart Switch-Embedded System Based on STM32 and Modbus RTU—Concept, Theory of Operation and Implementation
od: Ionel Zagan, et al.
Izdano: (2024-09-01)

Equivalence of Certain Iteration Processes Obtained by Two New Classes of Operators
od: Mujahid Abbas, et al.
Izdano: (2021-09-01)

Multicomponent iterative methods solving stationary problems of mathematical physics
od: Natali G. Abrashina-Zhadaeva, et al.
Izdano: (2008-09-01)

An EKF-Based Fixed-Point Iterative Filter for Nonlinear Systems
od: Xiaoliang Feng, et al.
Izdano: (2019-04-01)

A new method for solving nonlinear systems of equations that is based on functional iterations
od: Moreno Joaquín, et al.
Izdano: (2018-10-01)

An inertial s-iteration process for a common fixed point of a family of quasi-Bregman nonexpansive mappings
od: Bashir Ali, et al.
Izdano: (2022-03-01)

New Iterative Methods for Finding Common Fixed Points of Two Non-self Mappings in a Real Hilbert Space
od: Tufa Abebe Regassa
Izdano: (2022-05-01)

Krasnoselskii iteration process for approximating fixed points of enriched generalized nonexpansive mappings in Banach spaces
od: E. Simsek, et al.
Izdano: (2022-06-01)

Fixed point theorems in uniformly convex Banach spaces
od: Manoj Karuppasamy, et al.
Izdano: (2023-06-01)

A New Iterative Method for Solving Constrained Minimization, Variational Inequality and Split Feasibility Problems in the Framework of Banach Spaces
od: Francis Akutsah, et al.
Izdano: (2023-03-01)

A Parameterized Multi-Splitting Iterative Method for Solving the PageRank Problem
od: Yajun Xie, et al.
Izdano: (2023-07-01)