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The Hybrid High-Order Method for Polytopal Meshes

Design, Analysis, and Applications

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Focusing on the design and analysis of Hybrid High-Order methods for diffusive problems, this monograph highlights their innovative features, such as support for polytopal meshes and arbitrary approximation orders across dimensions. It emphasizes the methods' enhanced compliance with physical principles and their efficiency, achieved through compact stencils and static condensation. Additionally, the book showcases applications in advanced computational mechanics, illustrating the practical benefits of these next-generation numerical techniques for partial differential equations.

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The Hybrid High-Order Method for Polytopal Meshes, Daniele Antonio Di Pietro, Jérôme Droniou

Taal
Jaar van publicatie
2020
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(Hardcover)
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Titel
The Hybrid High-Order Method for Polytopal Meshes
Ondertitel
Design, Analysis, and Applications
Taal
Engels
Jaar van publicatie
2020
Formaat
Hardcover
Aantal pagina's
560
ISBN13
9783030372026
Reeks
Aantekening
Focusing on the design and analysis of Hybrid High-Order methods for diffusive problems, this monograph highlights their innovative features, such as support for polytopal meshes and arbitrary approximation orders across dimensions. It emphasizes the methods' enhanced compliance with physical principles and their efficiency, achieved through compact stencils and static condensation. Additionally, the book showcases applications in advanced computational mechanics, illustrating the practical benefits of these next-generation numerical techniques for partial differential equations.