Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems
We use nonoverlapping domain decomposition for mixed method approximations. We propose a two-level preconditioner based on the interfaces between subdomains. The coarse preconditioner uses the multiscale mortar domain decomposition method. Prolongation is defined uniquely to preserve projection onto normal velocities. Numerical tests of highly heterogeneous porous media show efficiency and robustness.
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