Shape reconstruction of an inverse Stokes problem

DOI10.1016/j.cam.2007.06.006zbMath1138.76031OpenAlexW1981400435MaRDI QIDQ929958

Yi-Chen Ma, Wen-Jing Yan

Publication date: 19 June 2008

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.2007.06.006

zbMATH Keywords

differentiabilitydomain derivativeregularized Newton method

Mathematics Subject Classification ID

Related Items (15)

An iterative method for the shape reconstruction of the inverse Euler problem ⋮ On Distributed $H^1$ Shape Gradient Flows in Optimal Shape Design of Stokes Flows: Convergence Analysis and Numerical Applications ⋮ Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization ⋮ Shape inverse problem of thermodynamic equations based on domain derivative method ⋮ Shape optimization of Stokes flows by a penalty method ⋮ A numerical method for the viscous incompressible Oseen flow in shape reconstruction ⋮ The application of domain derivative of the nonhomogeneous Navier-Stokes equations in shape reconstruction ⋮ Shape reconstruction for unsteady advection-diffusion problems by domain derivative method ⋮ The application of shape gradient for the incompressible fluid in shape optimization ⋮ Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation ⋮ Shape optimization in the Navier‐Stokes flow with thermal effects ⋮ Shape identification in Stokes flow with distributed shape gradients ⋮ Numerical simulation for the shape reconstruction of a cavity ⋮ A numerical method for heat conduction in shape reconstruction ⋮ Shape reconstruction of an inverse boundary value problem of two-dimensional Navier-Stokes equations

Cites Work

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• The application of domain derivative for heat conduction with mixed condition in shape reconstruction
• The domain derivative and two applications in inverse scattering theory
• On the numerical solution of an inverse boundary value problem for the heat equation
• The Landweber iteration applied to inverse conductive scattering problems
• An inverse boundary value problem for the heat equation: the Neumann condition
• Frechet derivatives in inverse obstacle scattering
• Equivalent Norms for Sobolev Spaces

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