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Virtual Element Method for Second Order Elliptic Eigenvalue Problems

Numerical Analysis 2017-03-21 v3

Abstract

We introduce the Virtual Element Method (VEM) for elliptic eigenvalue problems. The main result of the paper states that VEM provides an optimal order approximation of the eigenmodes. A wide set of numerical tests confirm the theoretical analysis.

Keywords

Cite

@article{arxiv.1610.03675,
  title  = {Virtual Element Method for Second Order Elliptic Eigenvalue Problems},
  author = {Francesca Gardini and Giuseppe Vacca},
  journal= {arXiv preprint arXiv:1610.03675},
  year   = {2017}
}