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A Closer Look at Local Eigenvalue Solvers for Adaptive FETI-DP and BDDC

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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

In order to obtain a scalable domain decomposition method (DDM) for elliptic problems, a coarse space is necessary and an associated coarse problem has to be solved in each iteration. In the presence of arbitrary, large coefficient jumps or in case of almost incompressible elastic materials, the convergence rate of standard DDM deteriorates.

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Correspondence to Axel Klawonn .

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Klawonn, A., Kühn, M.J., Rheinbach, O. (2020). A Closer Look at Local Eigenvalue Solvers for Adaptive FETI-DP and BDDC. 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_26

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