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arxiv: 1601.07484 · v1 · pith:WH4HV6VOnew · submitted 2016-01-27 · 🧮 math.NA · cs.NA

Virtual Element Method for fourth order problems: L²-estimates

classification 🧮 math.NA cs.NA
keywords estimatesproblemsvirtualanalyseargumentsbrezziciteclassical
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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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