A Nitsche-based domain decomposition method for hypersingular integral equations

2011/02/01 by Chouly, Franz, Heuer, Norbert
#65N38 #65N55 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1102.0202

Abstract

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.

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