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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…
math.NA2024
Graph grammars and Physics Informed Neural Networks for simulating of pollution propagation on Spitzbergen
Maciej Sikora, Albert Oliver-Serra, Leszek Siwik +6
In this paper, we present two computational methods for performing simulations of pollution propagation described by advection-diffusion equations. The first method employs graph g…