Sparse approximations for contact mechanics
<|reference_start|>Sparse approximations for contact mechanics: Low-rank model order reduction strategies for contact mechanics show limited dimensionality reduction due to linear inseparability of contact pressure field. Therefore, a dictionary based strategy is explored for creating efficient models for frictionless non-adhesive contact. A large dictionary of contact pressure trajectories is generated using a high-fidelity finite element model, while approximating the online query with a small number of dictionary entries. This is achieved by inducing sparsity in the approximation. Accuracy, computational effort and limitations of such methods are demonstrated on few numerical examples.<|reference_end|>
@article{kollepara2024sparse,
    title={Sparse approximations for contact mechanics},
    author={Kiran Sagar Kollepara, Jos'e V. Aguado, Yves Le Guennec, Luisa Silva,
  Domenico Borzacchiello},
    journal={arXiv preprint arXiv:2406.11461},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.11461},
    primaryClass={math.NA cs.NA}
}