44 research outputs found

    A Nitsche-based domain decomposition method for hypersingular integral equations

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    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

    An energy space finite element approach for elliptic Dirichlet boundary control problems

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