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Numerical Reconstruction of Locally Rough Surfaces with a Newton Iterative Algorithm 认领 引用 被引量：3
1
作者 Meng Liu Jiaqing Yang 《Communications in Computational Physics》 SCIE 2023年第3期884-911,共28页
In this paper,we propose a Newton iterative algorithm to numerically reconstruct a locally rough surface with Dirichlet and impedance boundary conditions by near-field measurements of acoustic waves.The algorithm reli... In this paper,we propose a Newton iterative algorithm to numerically reconstruct a locally rough surface with Dirichlet and impedance boundary conditions by near-field measurements of acoustic waves.The algorithm relies on the Frechet differentiability analysis of the locally rough surface scattering problem,which is established by reducing the original model into an equivalent boundary value problem with compactly supported boundary data.With a slight modification,the algorithm can be also extended to reconstruct the local perturbation of a non-local rough surface.Finally,numerical results are presented to illustrate the effectiveness of the inversion algorithm with the multi-frequency data. 展开更多
关键词 Newton iterative algorithm Frechet derivative inverse scattering locally rough surface Dirichlet condition impedance condition multi-frequency data
NEWTON ITERATIVE INVERSION METHOD FOR INVERSE OBSTACLE SCATTERING IN A LAYERED MEDIUM 认领 引用
2
作者 Hao Wu Jiaqing Yang 《Journal of Computational Mathematics》 SCIE CSCD 2026年第3期722-746,共25页
Consider the inverse acoustic scattering of time-harmonic point sources by a locally perturbed interface with bounded obstacles embedded in the lower half-space.A Newton-type iterative method is proposed to simultaneo... Consider the inverse acoustic scattering of time-harmonic point sources by a locally perturbed interface with bounded obstacles embedded in the lower half-space.A Newton-type iterative method is proposed to simultaneously reconstruct the locally rough interface and embedded obstacles by taking partial near-field measurements in the upper half-space.The method relies on a differentiability analysis of the scattering problem with respect to the locally rough interface and the embedded obstacle,which is established by introducing a kind of new shape derivatives and reducing the original model to an equivalent system of integral equations defined in a bounded domain.With a slight modification,the inversion method can be easily generalized to reconstruct local perturbations of a global rough interface.Finally,numerical results are presented to illustrate the effectiveness of the inversion method with the multi-frequency data. 展开更多
关键词 Newton iterative algorithm Shape derivative Inverse scattering Locally rough interface Embedded obstacle Multi-frequency data
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