Adjoint state method for time-harmonic scattering problems with boundary perturbations

DOI10.1016/j.jcp.2020.109981OpenAlexW3104105159MaRDI QIDQ2128335

Xavier Adriaens, François Henrotte, Christophe A. Geuzaine

Publication date: 21 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109981

zbMATH Keywords

optimizationfinite element methodadjoint methodboundary sensitivitytime-harmonic wave scattering

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Partial differential equations (35-XX)

Uses Software

• Gmsh

Cites Work

• The determination of boundary coefficients from far field measurements
• High-order Sobolev preconditioning
• Eighty years of Sommerfeld's radiation condition
• Nonlinear least squares and Sobolev gradients
• Shape determination for deformed electromagnetic cavities
• Inverse scattering for shape and impedance
• Resistivity imaging with controlled-source electromagnetic data: depth and data weighting
• Adjoint Fields and Sensitivities for 3D Electromagnetic Imaging in Isotropic and Anisotropic Media
• Optimization with PDE Constraints
• An analytic multiple frequency adjoint-based inversion algorithm for parabolic-type approximations in ocean acoustics
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Extension of Wirtinger's Calculus to Reproducing Kernel Hilbert Spaces and the Complex Kernel LMS
• Shape derivatives for scattering problems
• Reconstruction of the Shape and Surface Impedance from Acoustic Scattering Data for an Arbitrary Cylinder
• Sobolev gradients and differential equations

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