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Nonoverlapping Additive Schwarz Method for hp-DGFEM with Higher-order Penalty Terms

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Domain Decomposition Methods in Science and Engineering XXV (DD 2018)

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 138))

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Abstract

The problem is discretized by an h-p symmetric interior higher-order [4] discontinuous Galerkin finite element method. In a k-th order multipenalty method, one penalizes the jumps of scaled normal higher-order derivatives up to order across the interelement boundaries—so the standard interior penalty method corresponds to taking k = 0.

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Correspondence to Piotr Krzyzanowski .

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Krzyzanowski, P., Sarkis, M. (2020). Nonoverlapping Additive Schwarz Method for hp-DGFEM with Higher-order Penalty Terms. In: Haynes, R., et al. Domain Decomposition Methods in Science and Engineering XXV. DD 2018. Lecture Notes in Computational Science and Engineering, vol 138. Springer, Cham. https://doi.org/10.1007/978-3-030-56750-7_25

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