A Nitsche-based domain decomposition method for hypersingular integral equations

作者:Chouly Franz; Heuer Norbert*
来源:Numerische Mathematik, 2012, 121(4): 705-729.
DOI:10.1007/s00211-012-0451-2

摘要

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.

  • 出版日期2012-8