The sub-Cauchy-Stokes problem: solvability issues and Lagrange multiplier methods with artificial boundary conditions

DOI10.1016/j.cam.2018.01.034zbMath1462.76046OpenAlexW2594873269MaRDI QIDQ1743964

Amel Ben Abda, Elyes Ahmed

Publication date: 16 April 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.01.034

zbMATH Keywords

inverse problemuniquenessalternating methodmatching conditionconvergence factor

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Flow control and optimization for incompressible viscous fluids (76D55) Inverse problems in fluid mechanics (76M21)

Related Items (1)

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

Uses Software

• Regularization tools
• FreeFem++
• rrgmrestbx

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recovering boundary data: the Cauchy Stokes system
• A control type method for solving the Cauchy-Stokes problem
• Weighted integrability of polyharmonic functions
• Persistency of wellposedness of Ventcel's boundary value problem under shape deformations
• On the uniqueness theorem of Holmgren
• Constitutive law gap functionals for solving the Cauchy problem for linear elliptic PDE
• Finite element methods for the Stokes problem on complicated domains
• Algorithms for range restricted iterative methods for linear discrete ill-posed problems
• An energy error-based method for the resolution of the Cauchy problem in 3D linear elasticity
• Stabilized mixed methods for the Stokes problem
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• Boundary element two-dimensional solution of an inverse Stokes problem
• On the regularizing properties of the GMRES method
• Derivation and physical interpretation of general boundary conditions
• Remarks on exact controllability for the Navier-Stokes equations
• Ventcell Conditions with Mixed Formulations for Flow in Porous Media
• Instability of an Inverse Problem for the Stationary Navier--Stokes Equations
• DETECTING AN OBSTACLE IMMERSED IN A FLUID BY SHAPE OPTIMIZATION METHODS
• Optimized Schwarz Methods for Circular Domain Decompositions with Overlap
• Local Exact Controllability of the Navier–Stokes Equations with the Condition on the Pressure on Parts of the Boundary
• Uniqueness results for Stokes equations and their consequences in linear and nonlinear control problems
• On Cauchy's problem: I. A variational Steklov–Poincaré theory
• Solving Cauchy problems by minimizing an energy-like functional
• Numerical simulation of blood flows through a porous interface
• Determining conductivity by boundary measurements II. Interior results
• Mixed and Hybrid Finite Element Methods
• On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
• Strong unique continuation for stokes equations
• Prolongement Unique Des Solutions
• An alternating method for the stationary Stokes system
• Optimized Schwarz Methods
• On Cauchy's problem: II. Completion, regularization and approximation
• An alternating iterative procedure for the Cauchy problem for the Helmholtz equation

This page was built for publication: The sub-Cauchy-Stokes problem: solvability issues and Lagrange multiplier methods with artificial boundary conditions