We extend the construction and analysis of the non-overlapping Schwarz preconditioners proposed in [2,3] to the (non-consistent) super penalty discontinuous Galerkin methods introduced in [5] and [8]. We show that the resulting preconditioners are scalable, and we provide the convergence estimates. We also present numerical experiments confirming the sharpness of the theoretical results
Antonietti, P., Ayuso De Dios, B. (2009). Two-level Schwarz preconditioners for super penalty discontinuous Galerkin methods. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 5(2-4), 398-412.
Two-level Schwarz preconditioners for super penalty discontinuous Galerkin methods
Ayuso De Dios, B
2009
Abstract
We extend the construction and analysis of the non-overlapping Schwarz preconditioners proposed in [2,3] to the (non-consistent) super penalty discontinuous Galerkin methods introduced in [5] and [8]. We show that the resulting preconditioners are scalable, and we provide the convergence estimates. We also present numerical experiments confirming the sharpness of the theoretical results
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