We deal with the finite element tearing and interconnecting dual primal precon- ditioner for elliptic problems discretized by the virtual element method. We extend the result of [S. Bertoluzza, M. Pennacchio, and D. Prada, Calcolo, 54 (2017), pp. 1565-1593] to the three di- mensional 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.
FETI-DP for the Three Dimensional Virtual Element Method
S Bertoluzza;M Pennacchio;D Prada
2020
Abstract
We deal with the finite element tearing and interconnecting dual primal precon- ditioner for elliptic problems discretized by the virtual element method. We extend the result of [S. Bertoluzza, M. Pennacchio, and D. Prada, Calcolo, 54 (2017), pp. 1565-1593] to the three di- mensional 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.File in questo prodotto:
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