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math.NA2011★ 1 cited
A local projection stabilized method for fictitious domains
Gabriel Raúl Barrenechea, Franz Chouly
In this work a local projection stabilization method is proposed to solve a fictitious domain problem. The method adds a suitable fluctuation term to the formulation thus rendering…
math.NA2011
A Nitsche-based domain decomposition method for hypersingular integral equations
Franz Chouly, Norbert Heuer
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…