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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Detalles Bibliográficos
Publicado: 2016
Materias:
A posteriori estimator
Advection-diffusion equations
Discontinuous Galerkin methods
Exponentially fitted schemes
M -matrix property
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00080624_v53_n1_p83_Lombardi
http://hdl.handle.net/20.500.12110/paper_00080624_v53_n1_p83_Lombardi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00080624_v53_n1_p83_Lombardi
record_format dspace
spelling paper:paper_00080624_v53_n1_p83_Lombardi2023-06-08T14:31:52Z A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems 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. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00080624_v53_n1_p83_Lombardi 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
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.
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
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00080624_v53_n1_p83_Lombardi
http://hdl.handle.net/20.500.12110/paper_00080624_v53_n1_p83_Lombardi
_version_ 1768545859658579968

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