Virtual Element Method for fourth order problems: $L^2-$ estimates

preprint2016arXivOpen access

We analyse the family of $C^1$ -Virtual Elements introduced in \cite{Brezzi:Marini:plates} for fourth-order problems and prove optimal estimates in $L^2$ and in $H^1$ via classical duality arguments.

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Virtual Element Method for fourth order problems: $L^2-$ estimates

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Virtual Element Method for fourth order problems: L2−L^2-L2−estimates

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Virtual Element Method for fourth order problems: $L^2-$ estimates