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Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization

Núria Parés, Pedro Díez, Antonio Huerta, Antonio Huerta Cerezuela

Computer Methods in Applied Mechanics and Engineering, Volume: 197, Issue: 19-20, Pages: 1641 - 1660

Swansea University Author: Antonio Huerta Cerezuela

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DOI (Published version): 10.1016/j.cma.2007.08.025

Abstract

Verification is a major task in computational mechanics to assess the quality of the simulation results. Strict bounds for engineering outputs in transient problems with an arbitrary discretization are proposed in this paper and its part II. It is the alternative to the LATIN method (by P. Ladeveze,...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: 2008
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URI: https://cronfa.swan.ac.uk/Record/cronfa15355
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spelling 2016-08-17T13:16:07.9377315 v2 15355 2013-07-31 Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization d87796289609bf34dd174c27e41a05d6 Antonio Huerta Cerezuela Antonio Huerta Cerezuela true false 2013-07-31 Verification is a major task in computational mechanics to assess the quality of the simulation results. Strict bounds for engineering outputs in transient problems with an arbitrary discretization are proposed in this paper and its part II. It is the alternative to the LATIN method (by P. Ladeveze, Ecole Normale Supérieure de Cachan). It uses a flux-free approach also developed by the authors, which has proven more efficient than classical equilibration approaches. It was developed in collaboration with SENER in the framework of two competitive national projects for transport and diffusion of contaminants. Journal Article Computer Methods in Applied Mechanics and Engineering 197 19-20 1641 1660 0045-7825 15 3 2008 2008-03-15 10.1016/j.cma.2007.08.025 Verification is a major task in computational mechanics to assess the quality of the simulation results. Strict bounds for engineering outputs in transient problems with an arbitrary discretization are proposed in this paper and its part II. It is the alternative to the LATIN method (by P. Ladeveze, Ecole Normale Supérieure de Cachan). It uses a flux-free approach also developed by the authors, which has proven more efficient than classical equilibration approaches. It was developed in collaboration with SENER in the framework of two competitive national projects for transport and diffusion of contaminants. COLLEGE NANME COLLEGE CODE Swansea University 2016-08-17T13:16:07.9377315 2013-07-31T18:44:26.7808049 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Núria Parés 1 Pedro Díez 2 Antonio Huerta 3 Antonio Huerta Cerezuela 4
title Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization
spellingShingle Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization
Antonio Huerta Cerezuela
title_short Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization
title_full Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization
title_fullStr Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization
title_full_unstemmed Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization
title_sort Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization
author_id_str_mv d87796289609bf34dd174c27e41a05d6
author_id_fullname_str_mv d87796289609bf34dd174c27e41a05d6_***_Antonio Huerta Cerezuela
author Antonio Huerta Cerezuela
author2 Núria Parés
Pedro Díez
Antonio Huerta
Antonio Huerta Cerezuela
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 197
container_issue 19-20
container_start_page 1641
publishDate 2008
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2007.08.025
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
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description Verification is a major task in computational mechanics to assess the quality of the simulation results. Strict bounds for engineering outputs in transient problems with an arbitrary discretization are proposed in this paper and its part II. It is the alternative to the LATIN method (by P. Ladeveze, Ecole Normale Supérieure de Cachan). It uses a flux-free approach also developed by the authors, which has proven more efficient than classical equilibration approaches. It was developed in collaboration with SENER in the framework of two competitive national projects for transport and diffusion of contaminants.
published_date 2008-03-15T03:17:31Z
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