The Hybrid High-Order Method for Polytopal Meshes : Design, Analysis, and Applications /

The Hybrid High-Order Method for Polytopal Meshes : Design, Analysis, and Applications /

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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...

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Bibliographic Details
Main Author: Di Pietro, Daniele Antonio (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Book
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2020
Edition:1st ed. 2020
Series:MS&A, Modeling, Simulation and Applications, 19
Subjects:
Applied mathematics
Computer mathematics
Engineering mathematics
Mathematical physics
Computational Mathematics and Numerical Analysis
Mathematical Applications in the Physical Sciences
Mathematical and Computational Engineering
Electronic books
Table of 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.

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