English

Virtual element approximation of eigenvalue problems

Numerical Analysis 2021-01-01 v1 Numerical Analysis

Abstract

We discuss the approximation of eigenvalue problems associated with elliptic partial differential equations using the virtual element method. After recalling the abstract theory, we present a model problem, describing in detail the features of the scheme, and highligting the effects of the stabilizing parameters. We conlcude the discussion with a survey of several application examples.

Keywords

Cite

@article{arxiv.2012.15660,
  title  = {Virtual element approximation of eigenvalue problems},
  author = {Daniele Boffi and Francesca Gardini and Lucia Gastaldi},
  journal= {arXiv preprint arXiv:2012.15660},
  year   = {2021}
}