Additive Schwarz with Vertex Based Adaptive Coarse Space for Multiscale Problems in 3D
In this paper an overlapping additive Schwarz method with a spectrally enriched coarse space is proposed. The method is for solving the standard Finite Element discretization of second order elliptic problems in there dimensions with discontinuous coefficients, where the discontinuities are inside subdomains and across subdomain boundaries. In case when the coarse space is large enough the convergence of the PCG method is independent of jumps in the coefficient.
The work of “L. Marcinkowski” was partially supported by Polish Scientific Grant 2016/21/B/ST1/00350.
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