A Nitsche-based domain decomposition method for hypersingular integral equations
This provides a new discretization approach for hypersingular integral equations, but the improvement is incremental over existing mortar methods.
The paper introduces a Nitsche-based domain decomposition method for hypersingular integral equations that works with non-matching grids without Lagrangian multipliers, proving almost quasi-optimal convergence and validating with a numerical experiment.
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.