3 papers
math.NA2024
Stabilization of isogeometric finite element method with optimal test functions computed from norm residual minimization
Marcin Łoś, Tomasz Służalec, Maciej Paszyński +1
We compare several stabilization methods in the context of isogeometric analysis and B-spline basis functions, using an advection-dominated advection\revision{-}diffusion as a mode…
cs.LG2024
Collocation-based Robust Variational Physics-Informed Neural Networks (CRVPINN)
Marcin Łoś, Tomasz Służalec, Paweł Maczuga +3
Physics-Informed Neural Networks (PINNs) have been successfully applied to solve Partial Differential Equations (PDEs). Their loss function is founded on a strong residual minimiza…
cs.CE2023
Physics Informed Neural Network Code for 2D Transient Problems (PINN-2DT) Compatible with Google Colab
Paweł Maczuga, Maciej Sikora, Maciej Skoczeń +7
We present an open-source Physics Informed Neural Network environment for simulations of transient phenomena on two-dimensional rectangular domains, with the following features: (1…