INVESTIGADORES
LOMBARDI ariel Luis
artículos
Título:
A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems
Autor/es:
LOMBARDI, ARIEL LUIS; PAOLA PIETRA; MARIANA I. PRIETO
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 (Formula presented.)-matrix property on conforming 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 non-matching 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.