Hybrid High-Order Methods

A Primer with Applications to Solid Mechanics
1. Auflage 2021
ISBN: 978-3-030-81476-2
Verlag: Springer International Publishing

Buch, Englisch, 136 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 230 g

Reihe: SpringerBriefs in Mathematics

This book provides a comprehensive coverage of hybrid high-order methods for computational mechanics. 
The first three chapters offer a gentle introduction to the method and its mathematical foundations for the diffusion problem. The next four chapters address applications of increasing complexity in the field of computational mechanics: linear elasticity, hyperelasticity, wave propagation, contact, friction, and plasticity. The last chapter provides an overview of the main implementation aspects including some examples of Matlab code. 
The book is primarily intended for graduate students, researchers, and engineers working in related fields of application, and it can also be used as a support for graduate and doctoral lectures.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Cicuttin, Matteo

Pignet, Nicolas

Ern, Alexandre

Fachgebiete

• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Software Engineering
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

1.Getting Started: Linear Diffusion.- 2.Mathematical Aspects.- 3.Some Variants.- 4.Linear Elasticity and Hyperelasticity.- 5.Elastodynamics.- 6.Contact and Friction.- 7.Plasticity.- 8.Implementaion Aspects.- References.