"Perusal of the Finite Element Method" ed. by Radostina Petrova

This 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.

Contents
Preface
1 Problems of Hierarchical Modelling and hp-Adaptive Finite Element Analysis in Elasticity, Dielectricity and Piezoelectricity
2 The Discontinuous Galerkin Finite Element Method for Ordinary Differential Equations
3 On Finite Element Vibration Analysis of Carbon Nanotubes
4 Micromechanical Analysis of Polymer Fiber Composites under Tensile Loading by Finite Element Method
5 Estimation of Shallow Water Flow Based on Kalman Filter FEM
6 Improved Reduced Order Mechanical Model and Finite Element Analysis of Three-Dimensional Deformations of Epithelial Tissues
7 Simulating Contact Instability in Soft Thin Films through Finite Element Techniques
8 The Role of Finite Element Analysis in Studying Potential Failure of Mandibular Reconstruction Methods
9 Evaluation of Adaptive Bone Remodeling after Total Hip Arthroplasty Using Finite lement Analysis
10 Finite Elements Method in Implant Prosthetics

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Multiphase Flow Handbook, 2016
Advances Microfluidics
Complex fluids - Modeling and Algorithms
Continuum Thermodynamics. Part I: Foundations
Continuum Thermodynamics. Part II: Applications and Examples