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math.NA2025
Effects of Interpolation Error and Bias on the Random Mesh Finite Element Method for Inverse Problems
Anne Poot, Iuri Rocha, Pierre Kerfriden +1
Bayesian inverse problems are an important application for probabilistic solvers of partial differential equations: when fully resolving numerical error is computationally infeasib…
math.NA2024
Physically Recurrent Neural Networks for Computational Homogenization of Composite Materials with Microscale Debonding
N. Kovács, M. A. Maia, I. B. C. M. Rocha +3
The growing use of composite materials in engineering applications has accelerated the demand for computational methods to accurately predict their complex behavior. Multiscale mod…