scientific article; zbMATH DE number 7124679

DOI10.5831/HMJ.2019.41.2.403zbMath1428.65104MaRDI QIDQ5241314

Ju-Hyun Lee, Nayoung Jeong, Sungkwon Kang

Publication date: 30 October 2019

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

scatteringmethod of linesHelmholtz equationBessel functionsaddition formula

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Singular nonlinear integral equations (45G05) Method of lines for boundary value problems involving PDEs (65N40)

Cites Work

• Complex nonlinear parameter estimation (CNPE) and obstacle shape reconstruction
• An introduction to mathematics of emerging biomedical imaging
• Numerical solution of a coefficient inverse problem with multi-frequency experimental raw data by a globally convergent algorithm
• An iterative solver for the 3D Helmholtz equation
• Shape reconstruction of acoustic obstacles from the modulus of the far field pattern
• Nonlinear integral equation methods for the reconstruction of an acoustically sound-soft obstacle
• An optimization method for acoustic inverse obstacle scattering problems with multiple incident waves
• On the multi-frequency obstacle reconstruction via the linear sampling method
• Two direct factorization methods for inverse scattering problems
• OBSTACLE SHAPE RECONSTRUCTION BY LOCALLY SUPPORTED BASIS FUNCTIONS
• Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern
• Inverse acoustic and electromagnetic scattering theory

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