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The Resource The Hybrid High-Order Method for Polytopal Meshes : Design, Analysis, and Applications, by Daniele Antonio Di Pietro, Jérôme Droniou, (electronic resource)

The Hybrid High-Order Method for Polytopal Meshes : Design, Analysis, and Applications, by Daniele Antonio Di Pietro, Jérôme Droniou, (electronic resource)

Creator
Author
Contributor
Summary
This monograph provides an introduction to the design and analysis of Hybrid High-Order methods for diffusive problems, along with a panel of applications to advanced models in computational mechanics. Hybrid High-Order methods are new-generation numerical methods for partial differential equations with features that set them apart from traditional ones. These include: the support of polytopal meshes, including non-star-shaped elements and hanging nodes; the possibility of having arbitrary approximation orders in any space dimension; an enhanced compliance with the physics; and a reduced computational cost thanks to compact stencil and static condensation. The first part of the monograph lays the foundations of the method, considering linear scalar second-order models, including scalar diffusion – possibly heterogeneous and anisotropic – and diffusion-advection-reaction. The second part addresses applications to more complex models from the engineering sciences: non-linear Leray-Lions problems, elasticity, and incompressible fluid flows. This book is primarily intended for graduate students and researchers in applied mathematics and numerical analysis, who will find here valuable analysis tools of general scope.--
Language
eng
Work
Publication
Edition
1st ed. 2020.
Extent
1 online resource (XXXI, 525 pages)
Contents
  • Part I: Foundations
  • 1 Setting
  • 2 Basic principles of Hybrid High-Order methods: The Poisson problem
  • 3 Variable di_usion and di_usion–advection–reaction
  • 4 Complements on pure di_usion
  • 5 Variations and comparison with other methods
  • Part II: Applications to advanced models
  • 6 p-Laplacian and Leray–Lions
  • 7 Linear elasticity
  • 8 Stokes
  • 9 Navier–Stokes
  • Part III: Appendix
  • 10 Appendix A: Error analysis setting for schemes in fully discrete formulation
  • 11 Appendix B: Implementation.
Isbn
9783030372033
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-37203-3
Instance
Label
The Hybrid High-Order Method for Polytopal Meshes : Design, Analysis, and Applications
Title
The Hybrid High-Order Method for Polytopal Meshes
Title remainder
Design, Analysis, and Applications
Statement of responsibility
by Daniele Antonio Di Pietro, Jérôme Droniou
Creator
Contributor
Author
Subject
Language
eng
Summary
This monograph provides an introduction to the design and analysis of Hybrid High-Order methods for diffusive problems, along with a panel of applications to advanced models in computational mechanics. Hybrid High-Order methods are new-generation numerical methods for partial differential equations with features that set them apart from traditional ones. These include: the support of polytopal meshes, including non-star-shaped elements and hanging nodes; the possibility of having arbitrary approximation orders in any space dimension; an enhanced compliance with the physics; and a reduced computational cost thanks to compact stencil and static condensation. The first part of the monograph lays the foundations of the method, considering linear scalar second-order models, including scalar diffusion – possibly heterogeneous and anisotropic – and diffusion-advection-reaction. The second part addresses applications to more complex models from the engineering sciences: non-linear Leray-Lions problems, elasticity, and incompressible fluid flows. This book is primarily intended for graduate students and researchers in applied mathematics and numerical analysis, who will find here valuable analysis tools of general scope.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Di Pietro, Daniele Antonio
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Droniou, Jérôme
Series statement
  • Springer eBooks.
  • MS&A, Modeling, Simulation and Applications,
  • Springer eBooks.
Series volume
19
http://library.link/vocab/subjectName
  • Computer mathematics
  • Mathematical physics
  • Applied mathematics
  • Engineering mathematics
Label
The Hybrid High-Order Method for Polytopal Meshes : Design, Analysis, and Applications, by Daniele Antonio Di Pietro, Jérôme Droniou, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-37203-3
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Part I: Foundations -- 1 Setting -- 2 Basic principles of Hybrid High-Order methods: The Poisson problem -- 3 Variable di_usion and di_usion–advection–reaction -- 4 Complements on pure di_usion -- 5 Variations and comparison with other methods -- Part II: Applications to advanced models -- 6 p-Laplacian and Leray–Lions -- 7 Linear elasticity -- 8 Stokes -- 9 Navier–Stokes -- Part III: Appendix -- 10 Appendix A: Error analysis setting for schemes in fully discrete formulation -- 11 Appendix B: Implementation.
Control code
978-3-030-37203-3
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource (XXXI, 525 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030372033
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
48 illustrations, 26 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1150179379
Label
The Hybrid High-Order Method for Polytopal Meshes : Design, Analysis, and Applications, by Daniele Antonio Di Pietro, Jérôme Droniou, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-37203-3
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Part I: Foundations -- 1 Setting -- 2 Basic principles of Hybrid High-Order methods: The Poisson problem -- 3 Variable di_usion and di_usion–advection–reaction -- 4 Complements on pure di_usion -- 5 Variations and comparison with other methods -- Part II: Applications to advanced models -- 6 p-Laplacian and Leray–Lions -- 7 Linear elasticity -- 8 Stokes -- 9 Navier–Stokes -- Part III: Appendix -- 10 Appendix A: Error analysis setting for schemes in fully discrete formulation -- 11 Appendix B: Implementation.
Control code
978-3-030-37203-3
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource (XXXI, 525 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030372033
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
48 illustrations, 26 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1150179379

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