Schröder J., Wriggers P. (Eds.) Advanced Finite Element Technologies

CISM International Centre for Mechanical, Sciences,Springer, 2016. – 239 p. – ISBN10: 331931923XThe book presents an overview of the state of research of advanced finite element technologies. Besides the mathematical analysis, the finite element development and their engineering applications are shown to the reader. The authors give a survey of the methods and technologies concerning efficiency, robustness and performance aspects. The book covers the topics of mathematical foundations for variational approaches and the mathematical understanding of the analytical requirements of modern finite element methods. Special attention is paid to finite deformations, adaptive strategies, incompressible, isotropic or anisotropic material behavior and the mathematical and numerical treatment of the well-known locking phenomenon. Beyond that new results for the introduced approaches are presented especially for challenging nonlinear problems.
Topics
Computational Mathematics and Numerical Analysis
Appl. Mathematics / Computational Methods of Engineering
Theoretical and Applied MechanicsFunctional Analysis, Boundary Value Problems and Finite Elements
Discretization Methods for Solids Undergoing Finite Deformations
Three-Field Mixed Finite Element Methods in Elasticity
Stress-Based Finite Element Methods in Linear and Nonlinear Solid Mechanics
Tutorial on Hybridizable Discontinuous Galerkin (HDG) for Second-Order Elliptic Problems
Least-Squares Mixed Finite Element Formulations for Isotropic and Anisotropic Elasticity at Small and Large Strains
Theoretical and Numerical Elastoplasticity
On the Use of Anisotropic Triangles with Mixed Finite Elements: Application to an “Immersed” Approach for Incompressible Flow Problem