Asymptotic behavior and control of a “guidance by repulsion” model

Dongnam Ko, E. Zuazua. Asymptotic behavior and control of a “guidance by repulsion” model Abstract. We model and analyze a herding problem, where the drivers try to steer the evaders’ trajectories while the evaders always move away from the drivers. This problem is motivated by the guidance-by-repulsion model [Escobedo, R., Ibañez, A. and Zuazua, E.…

Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids

M. Morales-Hernández, E. Zuazua Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids Comp. Appl. Math. Vol. 38, No. 168 (2019) DOI: 10.1007/s40314-019-0935-0 Abstract: We address the problem of inverse design of linear hyperbolic transport equations in 2D heterogeneous media. We develop numerical algorithms based in gradient-adjoint methodologies on unstructured grids.…