Minimize node value without integration

I am trying to solve a data assimilation problem where I have measurements “u” at some sparse locations, x_i. How can I minimize this objective with dolfin-adjoint? Thanks so much for your help!
1/2 \sum_{x_i} ||u(x_i)-u_obs(x_i)||^2_2

See for instance: Optimizing State Value at Single Point in Time - #2 by dokken

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Thanks a lot for the reference