On an Adaptive Coarse Space and on Nonlinear Domain Decomposition
نویسندگان
چکیده
We consider two different aspects of FETI-DP domain decomposition methods [8, 23]. In the first part, we describe an adaptive construction of coarse spaces from local eigenvalue problems for the solution of heterogeneous, e.g., multiscale, problems. This strategy of constructing a coarse space is implemented using a deflation approach. In the second part, we introduce new domain decomposition approaches for nonlinear problems. These methods are based on a decomposition of the nonlinear problem before linearization.
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