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A geometrically intrinsic Lagrangian-Eulerian scheme for 2D Shallow Water Equations with variable topography and discontinuous data
Eduardo Abreu, Elena Bachini, John Perez +1
We present a Lagrangian-Eulerian scheme to solve the shallow water equations in the case of spatially variable bottom geometry. Using a local curvilinear reference system anchored…
Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces
Elena Bachini, Gianmarco Manzini, Mario Putti
We develop a geometrically intrinsic formulation of the arbitrary-order Virtual Element Method (VEM) on polygonal cells for the numerical solution of elliptic surface partial diffe…
Physarum Dynamics and Optimal Transport for Basis Pursuit
Enrico Facca, Franco Cardin, Mario Putti
We study the connections between Physarum Dynamics and Dynamic Monge Kantorovich (DMK) Optimal Transport algorithms for the solution of Basis Pursuit problems. We show the equivale…
Branching structures emerging from a continuous optimal transport model
Enrico Facca, Franco Cardin, Mario Putti
Recently a Dynamic-Monge-Kantorovich formulation of the PDE-based -optimal transport problem was presented. The model considers a diffusion equation enforcing the balance of t…