Inverse Problem of Identifying a Small Defect Based on an Asymptotic Method
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Abstract
Abstract We consider the inverse problem of reconstructing a cavity of small characteristic size in an orthotropic layer based on information about the field of layer surface displacements measured within the framework of frequency sensing. Resolving equations in the inverse problem are based on the system of boundary integral equations formulated only along the cavity boundary. In the case of antiplane oscillations, based on an asymptotic approach, we derive formulas for characterizing a small defect. Results of computational experiments are presented.
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Research context
OpenAlex topics: Ultrasonics and Acoustic Wave Propagation · Numerical methods in inverse problems · Microwave Imaging and Scattering Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (18)
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