Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement

DOI10.1186/s13661-023-01788-1zbMath1527.35189MaRDI QIDQ6084719

Nejmeddine Chorfi, Mohamed Abdelwahed, Maatoug Hassine

Publication date: 2 December 2023

Published in: Boundary Value Problems (Search for Journal in Brave)

zbMATH Keywords

linear elasticitycalculus of variationsreciprocity gap functionaltopological sensitivity

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Inverse problems for PDEs (35R30) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for second-order elliptic systems (35J57) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Cites Work

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• Optimal shape design for fluid flow using topological perturbation technique
• Topological optimization method for a geometric control problem in Stokes flow
• On the determination of point-forces on a Stokes system
• Shape and topology optimization involving the eigenvalues of an elastic structure: a multi-phase-field approach
• Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations
• Asymptotic proximity to higher order nonlinear differential equations
• A regularized gradient flow for the \(p\)-elastic energy
• Multiplicity of positive solutions for a degenerate nonlocal problem with \(p\)-Laplacian
• Stability of stationary solutions to the three-dimensional Navier-Stokes equations with surface tension
• The Topological Asymptotic for PDE Systems: The Elasticity Case
• DETECTING AN OBSTACLE IMMERSED IN A FLUID BY SHAPE OPTIMIZATION METHODS
• On the Topological Derivative in Shape Optimization
• Topological Sensitivity and Shape Optimization for the Stokes Equations
• Identification of planar cracks by complete overdetermined data: inversion formulae
• On the numerical solution of one inverse problem for a linearized two-dimensional system of Navier-Stokes equations
• Reaction-diffusion coupled inclusions with variable exponents and large diffusion
• The topological asymptotic expansion for the Quasi-Stokes problem

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