A local projection stabilized method for fictitious domains
  In this work a local projection stabilization method is proposed to solve a fictitious domain problem. The method adds a suitable fluctuation term to the formulation thus rendering the natural space for the Lagrange multiplier stable. Stability and convergence are proved and these results are illustrated by a numerical experiment. 
Gabriel Ra\'ul Barrenechea, Franz Chouly (LPM)
math.NA