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Schwarz Domain Decomposition Preconditioners for Interior Penalty Approximations of Elliptic Problems

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Numerical Mathematics and Advanced Applications

Abstract

We present a two-level non-overlapping additive Schwarz method for Discontinuous Galerkin approximations of elliptic problems. In particular, a two level-method for both symmetric and non-symmetric schemes will be considered and some interesting features, which have no analog in the conforming case, will be discussed. Numerical experiments on non-matching grids will be presented.

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© 2006 Springer

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Antonietti, P.F., Ayuso, B., Heltai, L. (2006). Schwarz Domain Decomposition Preconditioners for Interior Penalty Approximations of Elliptic Problems. In: de Castro, A.B., Gómez, D., Quintela, P., Salgado, P. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34288-5_37

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