@Article{cmes.2010.062.205,
AUTHOR = {M.  Ferronato, A.  Mazzia, G.  Pini},
TITLE = {A Finite Element enrichment technique by the Meshless Local Petrov-Galerkin method},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {62},
YEAR = {2010},
NUMBER = {2},
PAGES = {205--224},
URL = {http://www.techscience.com/CMES/v62n2/25537},
ISSN = {1526-1506},
ABSTRACT = {In the engineering practice meshing and re-meshing complex domains by Finite Elements (FE) is one of the most time-consuming efforts. Meshless methods avoid this task but are computationally more expensive than standard FE. A somewhat natural improvement can be attempted by combining the two techniques with the aim at emphasizing the respective merits. The present work describes a FE enrichment by the Meshless Local Petrov-Galerkin (MLPG) method. The basic idea is to add a limited number of moving MLPG points over a fixed coarse FE grid, in order to improve the solution accuracy in specific regions of the domain with no mesh refinements. The transient Poisson equation is used as a test problem, with the numerical convergence of the enriched FE-MLPG method verified in several cases. The enriched approach proves more accurate than standard FE even by a factor 15 with a small number of MLPG nodes added.},
DOI = {10.3970/cmes.2010.062.205}
}