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Certified reduced basis methods for parametrized partial differential equations

This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods...

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Detalles Bibliográficos
Autores principales: Hesthaven, Jan S, Rozza, Gianluigi, Stamm, Benjamin
Lenguaje:eng
Publicado: Springer 2016
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-22470-1
http://cds.cern.ch/record/2062563
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author Hesthaven, Jan S
Rozza, Gianluigi
Stamm, Benjamin
author_facet Hesthaven, Jan S
Rozza, Gianluigi
Stamm, Benjamin
author_sort Hesthaven, Jan S
collection CERN
description This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.
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spelling cern-20625632021-04-21T20:03:26Zdoi:10.1007/978-3-319-22470-1http://cds.cern.ch/record/2062563engHesthaven, Jan SRozza, GianluigiStamm, BenjaminCertified reduced basis methods for parametrized partial differential equationsMathematical Physics and MathematicsThis book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.Springeroai:cds.cern.ch:20625632016
spellingShingle Mathematical Physics and Mathematics
Hesthaven, Jan S
Rozza, Gianluigi
Stamm, Benjamin
Certified reduced basis methods for parametrized partial differential equations
title Certified reduced basis methods for parametrized partial differential equations
title_full Certified reduced basis methods for parametrized partial differential equations
title_fullStr Certified reduced basis methods for parametrized partial differential equations
title_full_unstemmed Certified reduced basis methods for parametrized partial differential equations
title_short Certified reduced basis methods for parametrized partial differential equations
title_sort certified reduced basis methods for parametrized partial differential equations
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-22470-1
http://cds.cern.ch/record/2062563
work_keys_str_mv AT hesthavenjans certifiedreducedbasismethodsforparametrizedpartialdifferentialequations
AT rozzagianluigi certifiedreducedbasismethodsforparametrizedpartialdifferentialequations
AT stammbenjamin certifiedreducedbasismethodsforparametrizedpartialdifferentialequations