Mathematics Module: Coupled Simulation: How to access dependent variable at certain point?

Hello!

I want to couple a time dependent PDE with an ODE. The dependent variable of the PDE system is u1, the one for the ODE is v1. Now I want the value u1x(x_s) (i.e. the value of u1x at position x_s) to be included in the ODE. How could I possibly realise this?



Minimal example:

PDE: f(u1,u1x,u1t,t)=0
ODE: g(v1,u1x(x=x_s))=0

with u1=u1(x,t) and v1=v1(t)

(For me the ODE is only a transcendental equation without any derivatives of the dependent variable)

Thanks for your help!