Domain optimization for an acoustic waveguide scattering problem

DOI10.1007/S00245-014-9273-1zbMath1322.49072OpenAlexW1991358882MaRDI QIDQ496120

Julian Ott

Publication date: 17 September 2015

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-014-9273-1

zbMATH Keywords

Helmholtz equationwaveguidesscattering problemdomain optimization

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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• Steady-state wave propagation in simple and compound acoustic waveguides
• On the use of sampling methods to identify cracks in acoustic waveguides
• Optimization of Elliptic Systems
• A Finite Element Method for Solving Helmholtz Type Equations in Waveguides and Other Unbounded Domains
• The domain derivative and two applications in inverse scattering theory
• Frechet derivatives in inverse obstacle scattering
• Helmholtz Equation with Artificial Boundary Conditions in a Two-Dimensional Waveguide
• A Second Degree Method for Nonlinear Inverse Problems
• Variational formulations for scattering in a three‐dimensional acoustic waveguide
• The linear sampling method in a waveguide: a modal formulation
• Existence, Uniqueness, and Variational Methods for Scattering by Unbounded Rough Surfaces

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