6 citations · 8 across the 3 of their papers we have counts for
3 papers · 1 filter
Physics Informed Neural Networks with strong and weak residuals for advection-dominated diffusion problems
Maciej Sikora, Patryk Krukowski, Anna Paszynska +1
This paper deals with the following important research questions. Is it possible to solve challenging advection-dominated diffusion problems in one and two dimensions using Physics…
Automatic stabilization of finite-element simulations using neural networks and hierarchical matrices
Tomasz Sluzalec, Mateusz Dobija, Anna Paszynska +2
Petrov-Galerkin formulations with optimal test functions allow for the stabilization of finite element simulations. In particular, given a discrete trial space, the optimal test sp…
Complexity of direct and iterative solvers on space-time formulations versus time--marching schemes for h-refined grids towards singularities
Marcin Skotniczny, Anna Paszynska, Sergio Rojas +1
We study computational complexity aspects for Finite Element formulations considering hypercubic space--time full and time--marching discretization schemes for --refined grids t…