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Determining kernels in linear viscoelasticity
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DOI：10.1016/j.jcp.2022.111331.png)
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摘要
En 中文
In this work, we investigate the inverse problem of determining the kernel functions that best describe the mechanical behavior of a complex medium modeled by a general nonlocal viscoelastic wave equation. To this end, we minimize a tracking-type data misfit function under this PDE constraint. We perform the well-posedness analysis of the state and adjoint problems and, using these results, rigorously derive the first-order sensitivities. Numerical experiments in a three-dimensional setting illustrate the method. (C) 2022 The Author(s). Published by Elsevier Inc.
Keyword:
Viscoelasticity
Weakly singular kernels
Inverse problem
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IF:
3.8
论文数:
1.6W
被引数:
7.4W
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