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math.NA2023★ 1 cited
Quantitative study of the stabilization parameter in the virtual element method
Alessandro Russo, N. Sukumar
The choice of stabilization term is a critical component of the virtual element method (VEM). However, the theory of VEM provides only asymptotic guidance for selecting the stabili…
math.NA2023
The nonconforming virtual element method with curved edges
Lourenco Beirão Da Veiga, Yi Liu, Lorenzo Mascotto +1
We introduce a nonconforming virtual element method for the Poisson equation on domains with curved boundary and internal interfaces. We prove arbitrary order optimal convergence i…