Shape inverse problem for Stokes-Brinkmann equations

DOI10.1016/j.aml.2018.09.003zbMath1445.76057OpenAlexW2890800900WikidataQ129232113 ScholiaQ129232113MaRDI QIDQ1726547

Meng Liu, Feifei Jing, Wen-Jing Yan

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.09.003

zbMATH Keywords

shape gradientcontinuous adjoint methodfunction space parametrization techniqueshape inverse problemStokes-Brinkmann equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Inverse problems in fluid mechanics (76M21)

Related Items (3)

Optimal shape design for a time-dependent Brinkman flow using asymptotic analysis techniques ⋮ Optimal error estimates of the discrete shape gradients for shape optimizations governed by the Stokes-Brinkman equations ⋮ Shape optimization for an obstacle located in incompressible Boussinesq flow

Cites Work

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• First- and second-order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods
• Computationally efficient, numerically exact design space derivatives via the complex Taylor's series expansion method
• An adjoint method for shape optimization in unsteady viscous flows
• A numerical method for the viscous incompressible Oseen flow in shape reconstruction
• Factorization method for the inverse Stokes problem
• Inverse scattering for shape and impedance
• An approximate factorization method for inverse medium scattering with unknown buried objects

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