INVESTIGADORES
PRIETO Mariana Ines
artículos
Título:
A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems
Autor/es:
LOMBARDI, ARIEL LUIS; PIETRA, PAOLA; PRIETO, MARIANA INES
Revista:
CALCOLO
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2016 vol. 53 p. 83 - 103
ISSN:
0008-0624
Resumen:
The paper deals with the weakly penalized exponentially fitted incomplete interior penalty (EF-IIPG0)scheme for advection-diffusion problems. In the first part of the paper, the M-matrix property onconforming weakly-acute meshes is discussed. In the second part, an a posteriori error estimate is derived.The estimator, especially designed for the advection dominated case, controls the energy norm as well as a semi-norm associated with the advective derivative, taking full advantage of the formulation on nonmatching grids. The paper is supplemented by numerical experiments, where the estimator is used as local error indicator for marking the triangles to be refined in an adaptive strategy.
