Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains

@article{Kuchta2016PreconditionersFS,
  title={Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains},
  author={Miroslav Kuchta and Magne Nordaas and Joris C. G. Verschaeve and Mikael Mortensen and Kent‐Andre Mardal},
  journal={SIAM J. Sci. Comput.},
  year={2016},
  volume={38}
}
We study preconditioners for a model problem describing the coupling of two elliptic subproblems posed over domains with different topological dimension by a parameter dependent constraint. A pair of parameter robust and efficient preconditioners is proposed and analyzed. Robustness and efficiency of the preconditioners is demonstrated by numerical experiments. 
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