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The Hybrid High-Order Method for Polytopal Meshes: Design, Analysis, and Applications
Hardcover
Series: MS&A, Book 19
Technology & EngineeringGeneral Mathematics
ISBN13: 9783030372026
Publisher: Springer Nature
Published: Apr 4 2020
Pages: 525
Weight: 2.10
Height: 1.19 Width: 6.14 Depth: 9.21
Language: English
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.
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The Hybrid High-Order Method for Polytopal Meshes: Design, Analysis, and Applications
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