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What is FEM

Chapter 7
Handbook of Research on Advanced Mechatronic Systems and Intelligent Robotics
It is the acronym of Finite Element Method. It is a numerical procedure for solving BVPs for partial differential equations.
Published in Chapter:
Membrane Micro Electro-Mechanical Systems for Industrial Applications
Mario Versaci (University “Mediterranea” of Reggio Calabria, Italy) and Francesco Carlo Morabito (University “Mediterranea” of Reggio Calabria, Italy)
Copyright: © 2020 |Pages: 37
DOI: 10.4018/978-1-7998-0137-5.ch007
Abstract
The objective of this chapter is to provide the analytical-numerical tools for the simplified rewriting of the most important mathematical models of MEMS membrane devices for Mechatronics, exploiting advanced concepts and results in the theory of curves and surfaces. Moreover, when the solution in closed form could not be obtained (that is, it is impossible to obtain the membrane deflection analytically), some consolidated techniques will be described both to obtain conditions ensuring existence/uniqueness of the solution, and the most suitable approaches for obtaining numerical solutions in the absence of ghost solutions. Finally, some practical examples will illustrate the approaches presented.
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Chapter 13
Computational FEM Application on Percutaneous Nephrolithotomy (PCNL) Minimum Invasive Surgery Through Needle Insertion Process
The finite element method or FEM is an extensively used technique for numerically explaining difference equations rising in mathematical, engineering, and biomedical modeling.
Published in Chapter: Computational FEM Application on Percutaneous Nephrolithotomy (PCNL) Minimum Invasive Surgery Through Needle Insertion Process; From: Advances in Computational Approaches in Biomechanics
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Chapter 14
DQ Based Methods: Theory and Application to Engineering and Physical Sciences
The Finite Element Method, computes the solution by piecewise functions being computed in smaller parts of the problem domain, called finite elements. A set of algebric equations are established and solved. It is employed extensively in the analysis of solids, structures, heat transfer and fluids. It can handle arbitrarily shaped domains.
Published in Chapter: DQ Based Methods: Theory and Application to Engineering and Physical Sciences; From: Handbook of Research on Computational Science and Engineering: Theory and Practice
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Chapter 11
Slope Stability of Soils
Finite Element Method is a numerical technique for finding approximate solutions to boundary value problems for partial differential equations.
Published in Chapter: Slope Stability of Soils; From: Handbook of Research on Trends and Digital Advances in Engineering Geology
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