Adaptive Coarse Spaces for FETI-DP in Three Dimensions with Applications to Heterogeneous Diffusion Problems
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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.
KeywordsEigenvalue Problem Condition Number Primal Vertex Edge Node Coarse Space
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