A non-intrusive neural-network based BFGS algorithm for parameter estimation in non-stationary elasticity

Autor: Frei, Stefan, Reichle, Jan, Volkwein, Stefan
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We present a non-intrusive gradient and a non-intrusive BFGS algorithm for parameter estimation problems in non-stationary elasticity. To avoid multiple (and potentially expensive) solutions of the underlying partial differential equation (PDE), we approximate the PDE solver by a neural network within the algorithms. The network is trained offline for a given set of parameters. The algorithms are applied to an unsteady linear-elastic contact problem; their convergence and approximation properties are investigated numerically.
Databáze: arXiv