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Hybrid High-Order Methods
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.
Numerical Mathematics and Advanced Applications ENUMATH 2019
This book gathers outstanding papers presented at the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2019). The conference was organized by Delft University of Technology and was held in Egmond aan Zee, the Netherlands, from September 30 to October 4, 2019. Leading experts in the field presented the latest results and ideas regarding the design, implementation and analysis of numerical algorithms, as well as their applications to relevant societal problems. ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications, all examined at the highest level of international expertise. The first ENUMATH was held in Paris in 1995, with successive installments at various sites across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), Ankara (2015) and Bergen (2017).
Finite Element Approximation of Contact and Friction in Elasticity
This book presents the mathematics behind the formulation, approximation, and numerical analysis of contact and friction problems. It also provides a survey of recent developments in the numerical approximation of such problems as well as several remaining unsolved issues. Particular focus is placed on the Signorini problem and on frictionless unilateral contact in small strain. The final chapters cover more complex, applications-oriented problems, such as frictional contact, multi-body contact, and large strain. Finite Element Approximation of Contact and Friction in Elasticity will be a valuable resource for researchers in the area. It may also be of interest to those studying scientific computing and computational mechanics.
Annuaire du Département de la Manche
35.-41. années, 1863-69, include "Rapport fait au Conseil général ..." and "Procés-verbal des déliberations du Conseil général" for the years 1862-68, respectively, each with individual title-page and separate pagination.
Hybrid High-Order Methods
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.
Méthodes hybrides d'ordre élevé pour la mécanique des solides non-linéaire
Dans cette thèse, nous nous intéressons aux développements des méthodes hybrides d'ordre élevé (Hybrid High-Order, HHO, en anglais) pour la mécanique des solides non-linéaire. Les méthodes HHO sont formulées en termes d'inconnues de face portées par le squelette du maillage et d'inconnues dans les cellules qui sont ajoutées pour des raisons d'approximation et de stabilité de la méthode. Ces méthodes présentent de nombreux avantages dans le cadre de la mécanique des solides~: textit{(i)} formulation primale ; textit{(ii)} suppression du verrouillage numérique dû aux problèmes d'incompressibilité ; textit{(iii)} ordre d'approximation arbitraire (symbole dollar) kgeq1(symbo...
