Convergence of a Particle Method for Diffusive Gradient Flows in One Dimension. - José A. Carrillo 001; Francesco Saverio Patacchini; Peter Sternberg; Gershon Wolansky (SIAM J. Math. Anal., 2016)

Model adaptation in a discrete fracture network: existence of solutions and numerical strategies. - Alessio Fumagalli; Francesco Saverio Patacchini (CoRR, 2021)

Well-posedness and variational numerical scheme for an adaptive model in highly heterogeneous porous media. - Alessio Fumagalli; Francesco Saverio Patacchini (J. Comput. Phys., 2023)

Predicting nonlinear-flow regions in highly heterogeneous porous media using adaptive constitutive laws and neural networks. - Chiara Giovannini; Alessio Fumagalli; Francesco Saverio Patacchini (J. Comput. Phys., 2025)

Numerical validation of an adaptive model for the determination of nonlinear-flow regions in highly heterogeneous porous media. - Alessio Fumagalli; Francesco Saverio Patacchini (Math. Comput. Simul., 2025)