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 [16] 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

中文翻译：

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三维虚拟单元法的 FETI-DP

我们处理由虚拟元方法 (VEM) 离散化的椭圆问题的有限元撕裂和互连双元 (FETI-DP) 预处理器。我们将[16]的结果扩展到三维情况。我们证明了多对数条件数界限，与子域的数量、网格大小和扩散系数的跳跃无关。数值实验验证了该理论