1 citations · 1 across the 3 of their papers we have counts for
4 papers
Auto-Regressive U-Net for Full-Field Prediction of Shrinkage-Induced Damage in Concrete
Liya Gaynutdinova, Petr Havlásek, Ondřej Rokoš +2
This paper introduces a deep learning approach for predicting time-dependent full-field damage in concrete. The study uses an auto-regressive U-Net model to predict the evolution o…
Homogenization with Guaranteed Bounds via Primal-Dual Physically Informed Neural Networks
Liya Gaynutdinova, Martin Doškář, Ondřej Rokoš +1
Physics-informed neural networks (PINNs) have shown promise in solving partial differential equations (PDEs) relevant to multiscale modeling, but they often fail when applied to ma…
Preconditioned discontinuous Galerkin method and convection-diffusion-reaction problems with guaranteed bounds to resulting spectra
Liya Gaynutdinova, Martin Ladecký, Ivana Pultarová +2
This paper focuses on the design, analysis and implementation of a new preconditioning concept for linear second order partial differential equations, including the convection-diff…
Efficient numerical method for reliable upper and lower bounds on homogenized parameters
Liya Gaynutdinova, Martin Ladecký, Aleš Nekvinda +2
A numerical procedure providing guaranteed two-sided bounds on the effective coefficients of elliptic partial differential operators is presented. The upper bounds are obtained in…