Virtual Element Methods for general second order elliptic problems on polygonal meshes

By L. Beirão da Veiga, Franco Brezzi, L. Donatella Marini, Alessandro Russo. 2016

99 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7f978bbf73fe0be615eeb8944918801d3d5436eb

Citations in the corpus

• SUPG stabilization for the nonconforming virtual element method for advection–diffusion–reaction equations (2018, unknown): “It was later extended to convection-reaction-diffusion problems with variable coefficients in [12, 48].”
• Virtual element method for quasilinear elliptic problems (2017, unknown): “ularity assumption used in the linear setting [6, 17], allowing for very general polygonal and polyhedral meshes. Virtual element methods for linear elliptic problems are now well-established, see eg.[6, 11, 1, 10, 5, 17, 13] and [26] for a simple implementation. See also [7] for an extension to mes”
• Conforming and nonconforming virtual element methods for elliptic problems (2015, unknown): “-convex polygonal elements. The framework is based on assuming that the L2-projector onto the polynomial subspace of the virtual element space is computable, in this respect following the approach of [1, 8]. By generalising the process considered in [1], we have introduced families of new possible c”