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math.NA2018
FETI-DP for the three-dimensional Virtual Element Method
Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
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 th…
math.NA2018
High order VEM on curved domains
Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
We deal with the virtual element method (VEM) for solving the Poisson equation on a domain with curved boundaries. Given a polygonal approximation of the domain , the…
math.NA2018
A Polygonal Discontinuous Galerkin Method with Minus One Stabilization
Silvia Bertoluzza, Daniele Prada
We propose a Discontinuous Galerkin method for the Poisson equation on polygonal tessellations in two dimensions, stabilized by penalizing, locally in each element , a residual…