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.
|Original language||English (US)|
|Title of host publication||Accepted as a chapter in "The Virtual Element Method and its Applications", P.F. Antonietti, L. Beirão da Veiga, and G. Manzini Eds., Springer-Verlag|
|Number of pages||46|
|State||Published - Oct 9 2022|