On Multilevel BDDC

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https://link.springer.com/chapter/10.1007%2F978-3-540-75199-1_33

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UMBC Mathematics and Statistics Department

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https://orcid.org/0000-0002-8053-8956

Date

2008

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book chapters
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Mandel J., Sousedík B., Dohrmann C.R. (2008) On Multilevel BDDC. In: Langer U., Discacciati M., Keyes D.E., Widlund O.B., Zulehner W. (eds) Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75199-1_33

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Abstract

We combine the advantages of the adaptive and multilevel approaches, proposed previously by the authors, to propose a new method that preserves both, parallel scalability with increasing number of subdomains and excellent convergence properties. Performance of the method is illustrated on a two-dimensional problem of linear elasticity.