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Finite element method. --- Meshfree methods (Numerical analysis) --- Gridless methods (Numerical analysis) --- Meshfree discretization techniques (Numerical analysis) --- Meshless methods (Numerical analysis) --- Numerical analysis --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Isogeometric analysis

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This book presents new ideas in the framework of novel, finite element discretization schemes for solids and structure, focusing on the mechanical as well as the mathematical background. It also explores the implementation and automation aspects of these technologies. Furthermore, the authors highlight recent developments in mixed finite element formulations in solid mechanics as well as novel techniques for flexible structures at finite deformations. The book also describes automation processes and the application of automatic differentiation technique, including characteristic problems, automatic code generation and code optimization. The combination of these approaches leads to highly efficient numerical codes, which are fundamental for reliable simulations of complicated engineering problems. These techniques are used in a wide range of applications from elasticity, viscoelasticity, plasticity, and viscoplasticity in classical engineering disciplines, such as civil and mechanical engineering, as well as in modern branches like biomechanics and multiphysics.

Finite element method. --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Computer mathematics. --- Applied mathematics. --- Engineering mathematics. --- Mechanics. --- Mechanics, Applied. --- Computational Mathematics and Numerical Analysis. --- Mathematical and Computational Engineering. --- Theoretical and Applied Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Engineering --- Engineering analysis --- Mathematical analysis --- Computer mathematics --- Electronic data processing --- Mathematics --- Computer science --- Mathematics.