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Fig. 9 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 9

From: Bayesian calibration of coupled computational mechanics models under uncertainty based on interface deformation

Fig. 9

Representation of the posterior distribution \(p\left( E,\nu |Y_{\textrm{obs},C}\right) \) in histograms. Two-dimensional hexagon histograms for combined posterior and according marginals \(p\left( E|Y_{\textrm{obs},C}\right) \) and \(p\left( \nu |Y_{\textrm{obs},C}\right) \) attached to top and sides. Percentiles of kernel density estimates depicted as black solid lines, global Gaussian approximations as orange solid lines around the posterior mean (\({\varvec{x}}_{\textrm{PM}}\) as orange cross) and the Laplace approximations as a green solid lines around the MAP estimate (\({\varvec{x}}_{\textrm{MAP}}\) as green cross). a Posterior with uniform prior and b resulting particle and weight distribution from SMC. c Posterior with informed priors. d Posterior with uniform prior and uncertain inflow

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