Resolve an hyperbolic system with FF++

[Gigi]

Hi,
please, how we cal write with FF++, the variational formulation of the following hyperbolic system:

\tau*\dfrac{\partial q}{\partial t}= -q - D* \dfrac{\partial V}{\partial x},

\dfrac{\partial V}{\partial t}=- \dfrac{\partial q}{\partial x} -\sigma*V

where the uknown functions are V(x,t) and q(x,t), D, \tau, \sigma and b are constant.

Thank you in advance

[fb77 (François Bouchut)]

You can use an implicit scheme in time or a Crank-Nicholson time scheme as follows

You can use P2 for q and V. You multiply (5) by a test function in P2 to get q,
and multiply (3) by a test function in P2 to get V.