Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
Published 2022-04-21Version 1
We analyze the local accuracy of the virtual element method. More precisely, we prove an error bound similar to the one holding for the finite element method, namely, that the local $H^1$ error in a interior subdomain is bounded by a term behaving like the best approximation allowed by the local smoothness of the solution in a larger interior subdomain plus the global error measured in a negative norm.
Local energy estimates for the finite element method on sharply varying grids
Nonlinear Model Reduction Based On The Finite Element Method With Interpolated Coefficients: Semilinear Parabolic Equations
A Multilevel Correction Scheme for Nonsymmetric Eigenvalue Problems by Finite Element Methods
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