An Ingham type proof for a bigrid observability theorem

It is well known that classical semi-discretization of the wave equation do not lead to uniform observability. One remedy is to use a two-grid method; this was at first analysed by Negreanu and Zuazua. We propose here an Ingham type approach to study this problem. The main difficulty is to handle wi...

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Detalles Bibliográficos
Autores principales: Loreti, P, Mehrenberger, M
Lenguaje:fre
Publicado: 2005
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/897524
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author Loreti, P
Mehrenberger, M
author_facet Loreti, P
Mehrenberger, M
author_sort Loreti, P
collection CERN
description It is well known that classical semi-discretization of the wave equation do not lead to uniform observability. One remedy is to use a two-grid method; this was at first analysed by Negreanu and Zuazua. We propose here an Ingham type approach to study this problem. The main difficulty is to handle with eigenvalues, coming from the discretization, which do not have a uniform gap.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2005
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spelling cern-8975242019-09-30T06:29:59Zhttp://cds.cern.ch/record/897524freLoreti, PMehrenberger, MAn Ingham type proof for a bigrid observability theoremXXIt is well known that classical semi-discretization of the wave equation do not lead to uniform observability. One remedy is to use a two-grid method; this was at first analysed by Negreanu and Zuazua. We propose here an Ingham type approach to study this problem. The main difficulty is to handle with eigenvalues, coming from the discretization, which do not have a uniform gap.IRMA-2005-012oai:cds.cern.ch:8975242005-05-30
spellingShingle XX
Loreti, P
Mehrenberger, M
An Ingham type proof for a bigrid observability theorem
title An Ingham type proof for a bigrid observability theorem
title_full An Ingham type proof for a bigrid observability theorem
title_fullStr An Ingham type proof for a bigrid observability theorem
title_full_unstemmed An Ingham type proof for a bigrid observability theorem
title_short An Ingham type proof for a bigrid observability theorem
title_sort ingham type proof for a bigrid observability theorem
topic XX
url http://cds.cern.ch/record/897524
work_keys_str_mv AT loretip aninghamtypeproofforabigridobservabilitytheorem
AT mehrenbergerm aninghamtypeproofforabigridobservabilitytheorem
AT loretip inghamtypeproofforabigridobservabilitytheorem
AT mehrenbergerm inghamtypeproofforabigridobservabilitytheorem

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