Optimal Mesh Size for Inverse Medium Scattering Problems

DOI10.1137/18M122159XzbMath1431.65249arXiv1810.08283MaRDI QIDQ5217603

Yat Tin Chow, Keji Liu, Habib Ammari

Publication date: 25 February 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08283

zbMATH Keywords

inverse medium scattering problemsinclusion reconstructionoptimal mesh size

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for inverse problems for integral equations (65R32) Basic methods for problems in optics and electromagnetic theory (78M99) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Inverse problems for integral equations (45Q05) PDEs in connection with information and communication (35Q94)

Related Items (5)

Numerical studies of domain sampling methods for inverse boundary value problems by one measurement ⋮ Biparametric identification for a free boundary of ductal carcinoma in situ ⋮ On the solution of direct and inverse multiple scattering problems for mixed sound-soft, sound-hard and penetrable objects ⋮ Processing the 2D and 3D Fresnel experimental databases via topological derivative methods ⋮ A boundary integral formulation and a topological energy-based method for an inverse 3D multiple scattering problem with sound-soft, sound-hard, penetrable, and absorbing objects

Uses Software

• PhaseCut

Cites Work

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