Franz Chouly - Böcker

Advances in Applied Mechanics, Volume 63 highlights new advances, with this volume presenting interesting chapters written by an international board of authors. Chapters in this release cover higher order discontinuous Galerkin finite element methods for the contact problems, Anisotropic Recovery-Based Error Estimators and Mesh Adaptation Tailored for Real-Life Engineering Innovation, Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equations, and more. Other sections cover a posteriori error analysis for Finite Element approximation of some groundwater models Part I: Linear models, a posteriori error estimates for low frequency electromagnetic computations, and more.Covers multi-scale modelingIncludes updates on data-driven modelingPresents the latest information on large deformations of multi-scale materials

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.

This book presents the mathematics behind the formulation, approximation, and numerical analysis of contact and friction problems.