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Title:

Structure-Preserving Invariant Interpolation Schemes for Invertible Second-Order Tensors

Document type:
Zeitschriftenaufsatz
Author(s):
Abhiroop Satheesh, Christoph P. Schmidt, Wolfgang A. Wall, Christoph Meier
Abstract:
Tensor interpolation is an essential step for tensor data analysis in various fields of application and scientific disciplines. In the resent work, novel interpolation schemes for general, i.e., symmetric or non-symmetric, invertible square tensors are proposed. Critically, the proposed schemes rely on a combined polar and spectral decomposition of the tensor data T =RQTΛQ, followed by an individual interpolation of the two rotation tensors R and Q and the positive definite diagonal eigenvalue t...     »
Keywords:
tensor interpolation, invertible tensors, symmetric and non-symmetric tensors, polar decomposition, spectral decomposition, large rotations
Journal title:
International Journal for Numerical Methods in Engineering
Year:
2023
Reviewed:
nein
Language:
en
Fulltext / DOI:
doi:10.48550/arXiv.2211.16507
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