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Title:

Finite elements for Matérn-type random fields: Uncertainty in computational mechanics and design optimization

Document type:
Zeitschriftenaufsatz
Author(s):
Duswald, Tobias; Keith, Brendan; Lazarov, Boyan; Petrides, Socratis; Wohlmuth, Barbara
Abstract:
This work highlights an approach for incorporating realistic uncertainties into scientific computing workflows based on finite elements, focusing on prevalent applications in computational mechanics and design optimization. We leverage Matérn-type Gaussian random fields (GRFs) generated using the SPDE method to model aleatoric uncertainties, including environmental influences, variating material properties, and geometric ambiguities. Our focus lies on delivering practical GRF realizations that a...     »
Keywords:
Random field generation, Topology optimization, Stochastic optimization, Finite elements, Manifolds
Journal title:
Computer Methods in Applied Mechanics and Engineering
Year:
2024
Journal volume:
429
Pages contribution:
117146
Fulltext / DOI:
doi:https://doi.org/10.1016/j.cma.2024.117146
WWW:
https://www.sciencedirect.com/science/article/pii/S004578252400402X
Print-ISSN:
0045-7825
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