A Nitsche-based domain decomposition method for
hypersingular integral equations
Franz Chouly and Norbert Heuer
Numer. Math. 121 (4), 705-729, 2012.
We introduce and analyze a Nitsche-based domain decomposition method for
the solution of hypersingular integral equations.
This method allows for discretizations with non-matching grids without
the necessity of a Lagrangian multiplier, as opposed to the traditional
mortar method. We prove its almost quasi-optimal convergence
and underline the theory by a numerical experiment.