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Published at December 6

Mechanical State Estimation with a Polynomial-Chaos-Based Statistical Finite Element Method

cs.CE

Released Date: December 6, 2024

Authors: Vahab Narouie¹, Henning Wessels¹, Fehmi Cirak², Ulrich Römer

Aff.: ¹Technische Universität Braunschweig; ²University of Cambridge

Arxiv: http://arxiv.org/pdf/2412.05037v1

[Uncaptioned image]

	Predefined	$n_{\text{r}}=1$	$n_{\text{r}}=10$	$n_{\text{r}}=100$
$\rho$	$1.5$	$1.432965$	$1.398330$	$1.467129$
$\sigma_{\mathbf{d}^{v},1}$	$3.0$	$2.871189$	$3.372673$	$3.041761$
$\sigma_{\mathbf{d}^{v},2}$	$3.0$	$1.423182$	$2.911160$	$3.020134$
$\sigma_{\mathbf{d}^{v},3}$	$2.5$	$0.926882$	$2.507635$	$2.539900$
$\sigma_{\mathbf{d}^{v},4}$	$2.3$	$0.919978$	$2.111807$	$2.346388$
$\sigma_{\mathbf{d}^{v},5}$	$2.2$	$0.497794$	$1.877516$	$2.128579$
$\sigma_{\mathbf{d}^{v},6}$	$0.7$	$0.471368$	$0.489609$	$0.637667$
$\sigma_{\mathbf{d}^{v},7}$	$0.4$	$0.437071$	$0.357092$	$0.381592$
$\sigma_{\mathbf{d}^{v},8}$	$0.3$	$0.000344$	$0.348178$	$0.303891$
$\sigma_{\mathbf{d}^{v},9}$	$0.2$	$0.000111$	$0.174140$	$0.194574$