Fading regularization MFS algorithm for the Cauchy problem associated with the two-dimensional Stokes equations

DOI10.1007/s11075-023-01543-8OpenAlexW4381281619MaRDI QIDQ6076953

Hatem Zayeni, Franck Delvare, F. Khayat, Amel Ben Abda

Publication date: 17 October 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-023-01543-8

zbMATH Keywords

Cauchy probleminverse problemsmethod of fundamental solutionsStokes equationfading regularization method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

• On choosing the location of the sources in the MFS
• Recovering boundary data: the Cauchy Stokes system
• A control type method for solving the Cauchy-Stokes problem
• On the choice of source points in the method of fundamental solutions
• The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
• The method of fundamental solutions for problems in potential flow
• The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
• The sub-Cauchy-Stokes problem: solvability issues and Lagrange multiplier methods with artificial boundary conditions
• The method of fundamental solutions for the Stokes flow with the subdomain technique
• An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability
• A meshless fading regularization algorithm for solving the Cauchy problem for the three-dimensional Helmholtz equation
• A meshless method for some inverse problems associated with the Helmholtz equation
• Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials
• A fundamental solution method for inverse heat conduction problem
• Density results using Stokeslets and a method of fundamental solutions for the Stokes equations
• The method of fundamental solutions for 2D and 3D Stokes problems
• The method of fundamental solutions for Stokes flow in a rectangular cavity with cylinders
• The method of fundamental solutions for inverse 2D Stokes problems
• Singular matrices arising in the MFS from certain boundary and pseudo-boundary symmetries
• Fading regularization MFS algorithm for the Cauchy problem in anisotropic heat conduction
• Solution of the Cauchy problem using iterated Tikhonov regularization
• A survey of applications of the MFS to inverse problems
• Boundary Integral and Singularity Methods for Linearized Viscous Flow
• The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
• Une méthode inverse à régularisation évanescente
• The method of fundamental solutions for solving a Cauchy problem of Laplace's equation in a multi-connected domain
• The Pressure-StreamFunction MFS Formulation for the Detection of an Obstacle Immersed in a Two-Dimensional Stokes Flow
• MFS-Fading Regularization Method for Inverse BVPs in Anisotropic Heat Conduction
• A numerical study of the SVD–MFS solution of inverse boundary value problems in two‐dimensional steady‐state linear thermoelasticity
• The method of functional equations for the approximate solution of certain boundary value problems
• Trefftz method: An overview

This page was built for publication: Fading regularization MFS algorithm for the Cauchy problem associated with the two-dimensional Stokes equations