Abstract
A new adaptive coarse space approach including a condition number bound for FETI-DP or BDDC methods for problems with coefficient jumps inside subdomains and across subdomain boundaries in three dimensions is presented. The approach is based on a known adaptive coarse space approach enriched by a small number of additional local edge eigenvalue problems. Numerical results are presented for diffusion problems with heterogeneous coefficients supporting our theoretical findings. The problems considered also include random coefficients.
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Klawonn, A., Kühn, M., Rheinbach, O. (2017). Adaptive Coarse Spaces for FETI-DP in Three Dimensions with Applications to Heterogeneous Diffusion Problems. In: Lee, CO., et al. Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering, vol 116. Springer, Cham. https://doi.org/10.1007/978-3-319-52389-7_18
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DOI: https://doi.org/10.1007/978-3-319-52389-7_18
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