• Corpus ID: 220962227

A general approach for constructing robust virtual element methods for fourth order problems

  title={A general approach for constructing robust virtual element methods for fourth order problems},
  author={Andreas Dedner and Alice Hodson},
We present a class of nonconforming virtual element methods for general fourth order partial differential equations in two dimensions. We develop a generic approach for constructing the necessary projection operators and virtual element spaces. Optimal error estimates in the energy norm are provided for general linear fourth order problems with varying coefficients. We also discuss fourth order perturbation problems and present a novel nonconforming scheme which is uniformly convergent with… 

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