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

Abstract

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.

References in corpus (1)

• On the Virtual Element Method for Three-Dimensional Elasticity Problems on Arbitrary Polyhedral Meshes