TY - EJOU
AU - Ferronato, M.
AU - Mazzia, A.
AU - Pini, G.
TI - A Finite Element enrichment technique by the Meshless Local Petrov-Galerkin method
T2 - Computer Modeling in Engineering \& Sciences
PY - 2010
VL - 62
IS - 2
SN - 1526-1506
AB - 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.
KW - Finite Element
KW - Meshless Local Petrov-Galerkin
KW - enrichment
KW - convergence analysis
DO - 10.3970/cmes.2010.062.205