Interior estimates for the Virtual Element Method

04/21/2022

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by   Silvia Bertoluzza, et al.

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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.