44 research outputs found
A Nitsche-based domain decomposition method for hypersingular integral equations
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.Comment: 21 pages, 5 figure