Petrova P. (Ed.) Perusal of the Finite Element Method

ExLi4EvA, 2016. — 273 p. — ISBN: 9535128205This book presents a current research by highlighting the vitality and potential of the finite elements for the future development of more efficient numerical techniques, new areas of application, and FEA's important role in practical engineering.
The finite element method (FEM) is a numerical technique for finding approximate solutions to different numerical problems. The practical applications of FEM are known as finite element analysis (FEA). FEA is a good choice for analyzing problems over complicated domains.
The first three chapters of this book contribute to the development of new FE techniques by examining a few key hurdles of the FEM and proposing techniques to mitigate them. The next four chapters focus on the close connection between the development of a new technique and its implementation. Current state-of-the-art software packages for FEA allow the construction, refinement, and optimization of entire designs before manufacturing. This is convincingly demonstrated in the last three chapters of the book with examples from the field of biomechanical engineering.Problems of Hierarchical Modelling and hp-Adaptive Finite Element Analysis in Elasticity, Dielectricity and Piezoelectricity
The Discontinuous Galerkin Finite Element Method for Ordinary Differential Equations
On Finite Element Vibration Analysis of Carbon Nanotubes
Micromechanical Analysis of Polymer Fiber Composites under Tensile Loading by Finite Element Method
Estimation of Shallow Water Flow Based on Kalman Filter FEM
Improved Reduced Order Mechanical Model and Finite Element Analysis of Three-Dimensional Deformations of Epithelial Tissues
Simulating Contact Instability in Soft Thin Films through Finite Element Techniques
The Role of Finite Element Analysis in Studying Potential Failure of Mandibular Reconstruction Methods
Evaluation of Adaptive Bone Remodeling after Total Hip Arthroplasty Using Finite lement Analysis
Finite Elements Method in Implant Prosthetics