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What is Finite Element Method (FEM)

Chapter 31
Handbook of Research on Visual Computing and Emerging Geometrical Design Tools
A numerical method for finding an approximate solution for partial derivative problems.
Published in Chapter:
Free Form Architecture Engineering: An Applied Methodology for Double Curved Surfaces
Gianni Bartoli (Università degli Studi di Firenze, Italy), Carlo Biagini (Università degli Studi di Firenze, Italy), and Davide Pellis (Università degli Studi di Firenze, Italy)
Copyright: © 2016 |Pages: 19
DOI: 10.4018/978-1-5225-0029-2.ch031
Abstract
Free form architecture involves many problems of a geometric, structural and construction nature. In order to reach a feasible and affordable solution some optimization phases are required. The development of powerful tools such as parametric and algorithmic design software is allowing great freedom for shape design and remarkable control in managing large amounts of data. With these tools structural and construction factors can be integrated as rules for geometrical generation and optimization. The chapter presents a methodology for free form architecture engineering and an applied example, starting from a physical model of an arbitrary shape to a construction-aware detailed project.
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Chapter 15
Mesh Morphing and Smoothing by Means of Radial Basis Functions (RBF): A Practical Example Using Fluent and RBF Morph
a numerical method used to solve continuum problems replacing the original domain with a set of simple sub-domains (finite elements) connected at nodal points. It is known for its success in solving structural problems.
Published in Chapter: Mesh Morphing and Smoothing by Means of Radial Basis Functions (RBF): A Practical Example Using Fluent and RBF Morph; From: Handbook of Research on Computational Science and Engineering: Theory and Practice
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Chapter 30
Automatic Classification of Impact-Echo Spectra I
It is a numerical analysis technique to obtain solutions to the differential equations that describe, or approximately describe a wide variety of problems. The underlying premise of FEM states that a complicated domain can be sub-divided into a series of smaller regions (the finite elements) in which the differential equations are approximately solved. By assembling the set of equations for each region, the behavior over the entire problem domain is determined.
Published in Chapter: Automatic Classification of Impact-Echo Spectra I; From: Encyclopedia of Artificial Intelligence
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