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Document type:
Zeitschriftenaufsatz
Author(s):
Kaltenbacher, Barbara; Khristenko, Ustim; Nikolić, Vanja; Rajendran, Mabel Lizzy; Wohlmuth, Barbara
Title:
Determining kernels in linear viscoelasticity
Abstract:
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 illu...     »
Keywords:
viscoelasticity, weakly singular kernels, inverse problem
Journal title:
Journal of Computational Physics
Year:
2022
Journal volume:
464
Month:
sep
Pages contribution:
111331
Fulltext / DOI:
doi:10.1016/j.jcp.2022.111331
WWW:
https://www.sciencedirect.com/science/article/pii/S002199912200393X
Publisher:
Elsevier BV
Print-ISSN:
0021-9991
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