Summary and Info
Provides a unique treatment due to the combination of expert contributions from the fields of engineering and mathematicsAddresses an innovative and broad range of finite element methodsMany illustrations helps to support understand the mechanical principalsThe 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.TopicsComputational Mathematics and Numerical AnalysisAppl. Mathematics / Computational Methods of EngineeringTheoretical and Applied Mechanics
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