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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...
Autores principales: | , |
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Lenguaje: | eng |
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Springer
2019
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/978-3-030-27230-2 http://cds.cern.ch/record/2691303 |
_version_ | 1780963813898584064 |
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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. |
id | cern-2691303 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2019 |
publisher | Springer |
record_format | invenio |
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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