The Hitchhiker's Guide to the Virtual Element Method
By L. Beirão da Veiga, Franco Brezzi, L. Donatella Marini, Alessandro Russo. 2014
702 citations recorded by the source corpus.
Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/dc0984577f8fda530db2d11bd5bb2533e21a7221
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Gianmarco Manzini
- L. Beirão da Veiga
- Giuseppe Vacca
- Alessandro Russo
- Paola Francesca Antonietti
- E. Ooi
- Marco Verani
- Stefano Berrone
In Electrical and Electronic Engineering
- Gianmarco Manzini
- Giuseppe Vacca
- Stefano Berrone
- Alessandro Russo
- Paola Francesca Antonietti
- Lorenzo Mascotto
- Marco Verani
- L. Beirão da Veiga
In Mechanics of Materials
- Gianmarco Manzini
- L. Beirão da Veiga
- Giuseppe Vacca
- Stéphane P.A. Bordas
- E. Ooi
- Sundararajan Natarajan
- Paola Francesca Antonietti
- Alessandro Russo
Citations in the corpus
- Virtual element method for quasilinear elliptic problems (2017, neutral): “ition (2.7). Following [6] instead, the projector R‘ h can be used in place of P h in the stabilising term. The practical implementation of these projector operators and VEM assembly are discussed in [9, 17]. In the examples below, approximation errors are measured by comparing the piecewise polynom”
- Divergence free Virtual Elements for the Stokes problem on polygonal meshes (2015, methodology): “Given a function v ∈ V h we take the following linear operators DV, split into four subsets: • DV1: the values of v at the vertices of the polygon K, • DV2: the values of v at k − 1 distinct points of every edge e ∈ ∂K (for example we can take the k − 1 internal points of the (k + 1)-Gauss-Lobatto q”
- The nonconforming virtual element method (2014, methodology): “Throughout this section we will use the notation of [6].”
- Virtual and smoothed finite elements: A connection and its application to polygonal/polyhedral finite element methods (2015, methodology): “The VEM for the aforementioned bilinear form starts by defining a projection operator that follows the orthogonality condition [49]: 8pk 2 P.”
- A Plane Wave Virtual Element Method for the Helmholtz Problem (2015, methodology): “Virtual element methods have been recently introduced [1, 2] as extension of finite elements to general polygonal decompositions for different classes of definite and semidefinite problems.”
- Hourglass stabilization and the virtual element method (2015, methodology): “For the first-order VEM considered in this paper, the projection P0v is defined as the meanvalue of v over the nE vertices of E [18]: P0v := v = 1 nE nE ∑ i=1 v(xi).”