An Optimized Schwarz Algorithm for a Discontinuous Galerkin Method
It has been shown in  that block Jacobi iterates of a discretization obtained from hybridizable discontinuous Galerkin methods (HDG) can be viewed as non-overlapping Schwarz methods with Robin transmission condition. The Robin parameter is exactly the penalty parameter μ of the HDG method. There is a stability constraint on the penalty parameter and the usual choice of μ results in slow convergence of the Schwarz method. In this paper we show how to overcome this problem without changing μ.
The author thanks Martin J. Gander for his useful comments.
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