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BDDC and FETI-DP methods with enriched coarse spaces for elliptic problems with oscillatory and high contrast coefficients

Hyea Hyun Kim Tsz Shun Eric CHUNG Junxian Wang

Numerical Analysis and Scientific Computing mathscidoc:1910.43562

179-186, 2017
BDDC (Balancing Domain Decomposition by Constraints) and FETI-DP (Dual-Primal Finite Element Tearing and Interconnecting) algorithms with adaptively enriched coarse spaces are developed and analyzed for second order elliptic problems with high contrast and random coefficients. Among many approaches to form adaptive coarse spaces, we consider an approach using eigenvectors of generalized eigenvalues problems defined on each subdomain interface, seeMandel and Sousedk(2007), Galvis and Efendiev(2010), Spillane etal.(2011), Spillane etal.(2013), Klawonn etal.(2015).
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@inproceedings{hyea2017bddc,
  title={BDDC and FETI-DP methods with enriched coarse spaces for elliptic problems with oscillatory and high contrast coefficients},
  author={Hyea Hyun Kim, Tsz Shun Eric CHUNG, and Junxian Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020202409559644091},
  pages={179-186},
  year={2017},
}
Hyea Hyun Kim, Tsz Shun Eric CHUNG, and Junxian Wang. BDDC and FETI-DP methods with enriched coarse spaces for elliptic problems with oscillatory and high contrast coefficients. 2017. pp.179-186. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020202409559644091.
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