A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems
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...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00080624_v53_n1_p83_Lombardi |
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todo:paper_00080624_v53_n1_p83_Lombardi2023-10-03T14:05:51Z A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems Lombardi, A.L. Pietra, P. Prieto, M.I. A posteriori estimator Advection-diffusion equations Discontinuous Galerkin methods Exponentially fitted schemes M -matrix property 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. © 2015, Springer-Verlag Italia. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00080624_v53_n1_p83_Lombardi |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
A posteriori estimator Advection-diffusion equations Discontinuous Galerkin methods Exponentially fitted schemes M -matrix property |
| spellingShingle |
A posteriori estimator Advection-diffusion equations Discontinuous Galerkin methods Exponentially fitted schemes M -matrix property Lombardi, A.L. Pietra, P. Prieto, M.I. A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems |
| topic_facet |
A posteriori estimator Advection-diffusion equations Discontinuous Galerkin methods Exponentially fitted schemes M -matrix property |
| description |
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. © 2015, Springer-Verlag Italia. |
| format |
JOUR |
| author |
Lombardi, A.L. Pietra, P. Prieto, M.I. |
| author_facet |
Lombardi, A.L. Pietra, P. Prieto, M.I. |
| author_sort |
Lombardi, A.L. |
| title |
A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems |
| title_short |
A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems |
| title_full |
A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems |
| title_fullStr |
A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems |
| title_full_unstemmed |
A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems |
| title_sort |
posteriori error estimator for exponentially fitted discontinuous galerkin approximation of advection dominated problems |
| url |
http://hdl.handle.net/20.500.12110/paper_00080624_v53_n1_p83_Lombardi |
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