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An invitation to the theory of the hybridizable discontinuous Galerkin method: projections, estimates, tools

This monograph requires basic knowledge of the variational theory of elliptic PDE and the techniques used for the analysis of the Finite Element Method. However, all the tools for the analysis of FEM (scaling arguments, finite dimensional estimates in the reference configuration, Piola transforms) a...

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Detalles Bibliográficos
Autores principales: Du, Shukai, Sayas, Francisco-Javier
Lenguaje:eng
Publicado: Springer 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-27230-2
http://cds.cern.ch/record/2691303
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author Du, Shukai
Sayas, Francisco-Javier
author_facet Du, Shukai
Sayas, Francisco-Javier
author_sort Du, Shukai
collection CERN
description This monograph requires basic knowledge of the variational theory of elliptic PDE and the techniques used for the analysis of the Finite Element Method. However, all the tools for the analysis of FEM (scaling arguments, finite dimensional estimates in the reference configuration, Piola transforms) are carefully introduced before being used, so that the reader does not need to go over longforgotten textbooks. Readers include: computational mathematicians, numerical analysts, engineers and scientists interested in new and computationally competitive Discontinuous Galerkin methods. The intended audience includes graduate students in computational mathematics, physics, and engineering, since the prerequisites are quite basic for a second year graduate student who has already taken a non necessarily advanced class in the Finite Element method.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-26913032021-04-21T18:19:33Zdoi:10.1007/978-3-030-27230-2http://cds.cern.ch/record/2691303engDu, ShukaiSayas, Francisco-JavierAn invitation to the theory of the hybridizable discontinuous Galerkin method: projections, estimates, toolsMathematical Physics and MathematicsThis monograph requires basic knowledge of the variational theory of elliptic PDE and the techniques used for the analysis of the Finite Element Method. However, all the tools for the analysis of FEM (scaling arguments, finite dimensional estimates in the reference configuration, Piola transforms) are carefully introduced before being used, so that the reader does not need to go over longforgotten textbooks. Readers include: computational mathematicians, numerical analysts, engineers and scientists interested in new and computationally competitive Discontinuous Galerkin methods. The intended audience includes graduate students in computational mathematics, physics, and engineering, since the prerequisites are quite basic for a second year graduate student who has already taken a non necessarily advanced class in the Finite Element method.Springeroai:cds.cern.ch:26913032019
spellingShingle Mathematical Physics and Mathematics
Du, Shukai
Sayas, Francisco-Javier
An invitation to the theory of the hybridizable discontinuous Galerkin method: projections, estimates, tools
title An invitation to the theory of the hybridizable discontinuous Galerkin method: projections, estimates, tools
title_full An invitation to the theory of the hybridizable discontinuous Galerkin method: projections, estimates, tools
title_fullStr An invitation to the theory of the hybridizable discontinuous Galerkin method: projections, estimates, tools
title_full_unstemmed An invitation to the theory of the hybridizable discontinuous Galerkin method: projections, estimates, tools
title_short An invitation to the theory of the hybridizable discontinuous Galerkin method: projections, estimates, tools
title_sort invitation to the theory of the hybridizable discontinuous galerkin method: projections, estimates, tools
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-27230-2
http://cds.cern.ch/record/2691303
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