Shape identification for convection-diffusion problem based on the continuous adjoint method

DOI10.1016/j.aml.2016.08.014zbMath1353.65103OpenAlexW2518649257MaRDI QIDQ338959

Jiangyong Hou, Zhiming Gao, Wen-Jing Yan

Publication date: 7 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.aml.2016.08.014

zbMATH Keywords

algorithmnumerical exampleinverse problemconvection-diffusion equationsshape identificationcontinuous adjoint method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (2)

A provably efficient monotonic-decreasing algorithm for shape optimization in Stokes flows by phase-field approaches ⋮ Shape sensitivity analysis for a microchannel cooling system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• First- and second-order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods
• Computational algorithms for aerodynamic analysis and design
• Shape reconstruction for unsteady advection-diffusion problems by domain derivative method
• 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
• Shape-sensitivity analysis and design optimization of linear, thermoelastic solids
• S<scp>HAPE</scp> O<scp>PTIMIZATION IN</scp> F<scp>LUID</scp> M<scp>ECHANICS</scp>

This page was built for publication: Shape identification for convection-diffusion problem based on the continuous adjoint method