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Poisson
A novel structure preserving scheme for Schrondiger-Poisson systems.
Dr. Th. Katsaounis
Feb 28, 16:00
-
17:00
B2 L5 R5220
Novel
structure
preserving
Schrondiger
Poisson
Systems
In this talk I will present a new structure preserving, second order in time relaxation-type scheme for approximating solutions of the Schrodinger-Poisson system. We use the Crank-Nicolson scheme as a time-stepping mechanism, whilst the nonlinearity is handled by means of a relaxation approach. For the spatial discretisation we use the standard conforming finite element scheme. The resulting scheme is explicit with respect to the nonlinearity, i.e. it requires the solution of a linear system for each time-step, and satisfies discrete versions of the system’s mass conservation and energy balance laws for constant discretization parameters.
