Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6891947 | Computers & Mathematics with Applications | 2018 | 23 Pages |
Abstract
We present numerical tests of the virtual element method (VEM) tailored for the discretization of a three dimensional Poisson problem with high-order “polynomial” degree (up to p=10). Besides, we discuss possible reasons for which the method could return suboptimal/wrong error convergence curves. Among these motivations, we highlight ill-conditioning of the stiffness matrix and not particularly “clever” choices of the stabilizations. We propose variants of the definition of face/bulk degrees of freedom, as well as of stabilizations, which lead to methods that are much more robust in terms of numerical performances.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
F. Dassi, L. Mascotto,