A new MOX Report entitled “Numerical Solution of linear drift-diffusion and pure drift equations on one-dimensional graphs” by Crippa, B.; Scotti, A.; Villa, A has appeared in the MOX Report Collection. Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/80-2024.pdf Abstract: We propose numerical schemes for the approximate solution of problems defined on the edges of a one-dimensional graph. In particular, we consider linear transport and a drift-diffusion equations, and discretize them by extending Finite Volume schemes with upwind flux to domains presenting bifurcation nodes with an arbitrary number of incoming and outgoing edges, and implicit time discretization. We show that the discrete problems admit positive unique solutions, and we test the methods on the intricate geometry of an electrical treeing.
You may also like
A new MOX Report entitled “Multi-fidelity reduced-order surrogate modelling” by Conti, P.; Guo, M.; Manzoni, A.; Frangi, A.; Brunton, S. L.; Kutz, […]
A new MOX Report entitled “Numerical modelling of protein misfolding in neurodegenerative diseases: a computational study” by Antonietti, P.F.; Corti, M. has […]
A new MOX Report entitled “HiPhome: HIgh order Projection-based HOMogEnisation for advection diffusion reaction problems” by Conni, G.; Piccardo, S.; Perotto, S.; […]
A new MOX Report entitled “Dual adversarial deconfounding autoencoder for joint batch-effects removal from multi-center and multi-scanner radiomics data” by Cavinato, L.; […]