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arXiv · 2510.27060

Bayesian inference calibration of the modulus of elasticity

J. Dick·Q. T. Le Gia·K. Mustapha
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Abstract

This work uses the Bayesian inference technique to infer the Young modulus from the stochastic linear elasticity equation. The Young modulus is modeled by a finite Karhunen Loéve expansion, while the solution to the linear elasticity equation is approximated by the finite element method. The high-dimensional integral involving the posterior density and the quantity of interest is approximated by a higher-order quasi-Monte Carlo method.

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J. Dick, Q. T. Le Gia, K. Mustapha. 2025-10-31. Bayesian inference calibration of the modulus of elasticity. https://arxiv.org/abs/2510.27060

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