Interior estimates for the virtual element method

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2024年5月9日

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Silvia Bertoluzza,
Micol Pennacchio,
Daniele Prada

摘要

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 $H^1$ $H^{1}$ 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.