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Hybrid High-Order Methods

A Primer with Applications to Solid Mechanics

  • Book
  • © 2021

Overview

Authors:
  1. Matteo Cicuttin

    1. Department of Electrical Engineering and Computer Science, Montefiore Institute B28, University of Liège, Liège, Belgium

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  2. Alexandre Ern

    1. CERMICS, Ecole des Ponts and INRIA Paris, Marne la Vallée and Paris, France

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  3. Nicolas Pignet

    1. ERMES, Électricité de France R&D, Palaiseau, France

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  • Comprehensive coverage of the HHO method for computational mechanics
  • Focus on computational mechanics with mathematical rigor
  • Illustrations from applications including plasticity, contact, friction, and waves

Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-viii
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  2. Getting Started: Linear Diffusion

    • Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
    Pages 1-20

  3. Mathematical Aspects

    • Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
    Pages 21-33

  4. Some Variants

    • Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
    Pages 35-49

  5. Linear Elasticity and Hyperelasticity

    • Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
    Pages 51-69

  6. Elastodynamics

    • Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
    Pages 71-83

  7. Contact and Friction

    • Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
    Pages 85-95

  8. Plasticity

    • Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
    Pages 97-107

  9. Implementation Aspects

    • Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
    Pages 109-127

  10. Back Matter

    Pages 129-136
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Keywords

About this book


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.


Authors and Affiliations

  • Department of Electrical Engineering and Computer Science, Montefiore Institute B28, University of Liège, Liège, Belgium

    Matteo Cicuttin

  • CERMICS, Ecole des Ponts and INRIA Paris, Marne la Vallée and Paris, France

    Alexandre Ern

  • ERMES, Électricité de France R&D, Palaiseau, France

    Nicolas Pignet

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