@Article{IJNAM-7-3,
author = {},
title = {The Two-Level Local Projection Stabilization as an Enriched One-Level Approach. A One-Dimensional Study},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2010},
volume = {7},
number = {3},
pages = {520--534},
abstract = {<p style="text-align: justify;">The two-level local projection stabilization is considered as a one-level
approach in which the enrichments on each element are piecewise polynomial
functions. The dimension of the enrichment space can be significantly
reduced without losing the convergence order. For example, using continuous
piecewise polynomials of degree $r \geq 1$, only one function per cell is needed as
enrichment instead of $r$ in the two-level approach. Moreover, in the constant
coefficient case, we derive formulas for the user-chosen stabilization parameter
which guarantee that the linear part of the solution becomes nodally exact.</p>},
issn = {2617-8710},
doi = {https://doi.org/2010-IJNAM-735},
url = {https://global-sci.com/article/83605/the-two-level-local-projection-stabilization-as-an-enriched-one-level-approach-a-one-dimensional-study}
}