Recovering boundary data: the Cauchy Stokes system

DOI10.1016/j.apm.2012.01.055zbMath1349.35420OpenAlexW2024396878MaRDI QIDQ345727

Maatoug Hassine, Imen Ben Saad, Amel Ben Abda

Publication date: 2 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.01.055

zbMATH Keywords

inverse problemSteklov-Poincaré operatordata completionCauchy-Stokes probleminterfacial equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (6)

Missing boundary data recovery using Nash games: the Stokes system ⋮ Fading regularization MFS algorithm for the Cauchy problem associated with the two-dimensional Stokes equations ⋮ The sub-Cauchy-Stokes problem: solvability issues and Lagrange multiplier methods with artificial boundary conditions ⋮ On numerical resolution of an inverse Cauchy problem modeling the airflow in the bronchial tree ⋮ Leak identification in a saturated unsteady flow via a Cauchy problem ⋮ A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problems

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
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• Data completion via an energy error functional
• An iterative method for solving the Cauchy problem for elliptic equations
• Missing boundary data reconstruction by the factorization method
• Boundary element two-dimensional solution of an inverse Stokes problem
• An inverse Stokes problem using interior pressure data
• On Cauchy's problem: I. A variational Steklov–Poincaré theory
• Solving Cauchy problems by minimizing an energy-like functional
• A variational conjugate gradient method for determining the fluid velocity of a slow viscous flow
• Determining conductivity by boundary measurements II. Interior results
• An iterative method for the reconstruction of a stationary flow
• Reconstruction of a stationary flow from incomplete boundary data using iterative methods
• An alternating method for the stationary Stokes system

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