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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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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
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa15355
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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, 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.
Item 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.
College: Faculty of Science and Engineering
Issue: 19-20
Start Page: 1641
End Page: 1660