Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472035 | Computers & Mathematics with Applications | 2013 | 16 Pages |
Abstract
In the original virtual element space with degree of accuracy kk, projector operators in the H1H1-seminorm onto polynomials of degree ≤k≤k can be easily computed. On the other hand, projections in the L2L2 norm are available only on polynomials of degree ≤k−2≤k−2 (directly from the degrees of freedom). Here, we present a variant of the virtual element method that allows the exact computations of the L2L2 projections on all polynomials of degree ≤k≤k. The interest of this construction is illustrated with some simple examples, including the construction of three-dimensional virtual elements, the treatment of lower-order terms, the treatment of the right-hand side, and the L2L2 error estimates.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
B. Ahmad, A. Alsaedi, F. Brezzi, L.D. Marini, A. Russo,