2 papers
cs.CE2026
Robust and scalable nonlinear solvers for finite element discretizations of biological transportation networks
Jan Haskovec, Peter Markowich, Simone Portaro +1
We develop robust and scalable fully implicit nonlinear finite element solvers for the simulations of biological transportation networks driven by the gradient flow minimization of…
math.OC2024
PDE Models for Deep Neural Networks: Learning Theory, Calculus of Variations and Optimal Control
Peter Markowich, Simone Portaro
We propose a partial differential-integral equation (PDE) framework for deep neural networks (DNNs) and their associated learning problem by taking the continuum limits of both net…