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FETI-DP for the three-dimensional Virtual Element Method (1812.00635v2)
Published 3 Dec 2018 in math.NA and cs.NA
Abstract: We deal with the Finite Element Tearing and Interconnecting Dual Primal (FETI-DP) preconditioner for elliptic problems discretized by the virtual element method (VEM). We extend the result of [22] to the three dimensional case. We prove polylogarithmic condition number bounds, independent of the number of subdomains, the mesh size, and jumps in the diffusion coefficients. Numerical experiments validate the theory
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