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What is Finite Element Method

Encyclopedia of Healthcare Information Systems
Mathematical technique to solve complex problems in which a physical domain is spatially discretized (meshed) and solved by numerical methods.
Published in Chapter:
New Perspectives in Rheoencephalography
Juan J. Perez (University of Valencia, Spain), Enrique Guijarro (University of Valencia, Spain), Pedro Ortiz (Consorcio Hospital General Universitario de Valencia, Spain), and José M. Pons (Consorcio Hospital General Universitario de Valencia, Spain)
Copyright: © 2008 |Pages: 8
DOI: 10.4018/978-1-59904-889-5.ch123
Abstract
One of the most important advances in biomedical engineering has been the ability to inspect inside the body without opening it. In this sense, rheoencephalography (REG) is an electromedical technique used to assess the cerebral blood flow (CBF) by noninvasive electrical impedance methods, using electrodes attached to the scalp surface. This technique was first proposed by Polzer and Schuhfried (1950), and emerged as an extrapolation of impedance plethysmography applied to the head. An electric current flowing through a biological tissue causes a potential difference between any pair of electrodes that can be measured. This potential difference depends on the amplitude of the injected current, the shape of the conductor, the arrangement of the electrodes, and the electrical characteristics of the tissue. For instance, the electrical conductivity of the lung tissue is much lower than that of the cerebrospinal fluid (CSF), since alveolar sacs are nonconductive. Furthermore, the electrical conductivity depends on the frequency of the electric current, the orientation of the tissue fibers relative to the current flow, and the amount of extracellular fluid that surrounds the cells. For example, electrical conductivity is higher in the blood than in most tissues, since plasma acts as a truehighway for ions (Malmivuo & Plonsey, 1995).
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Structural Identification and Numerical Models for Slender Historical Structures
Is a numerical analysis technique used to model a wide variety of physical problems. The method starts discretizating the structure into a series of elements connected at specific nodes. The method requires that the solution is continuous along common boundaries of adjacent elements.
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Energy Minimizing Active Models in Artificial Vision
Numerical technique used for finding approximate solution of partial differential equations (PDE) as well as of integral equations. The solution approach is based either on eliminating the differential equation completely (steady state problems), or rendering the PDE into an equivalent ordinary differential equation, which is then solved using standard techniques such as finite differences.
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EONS an Online Synaptic Modeling Platform
Finite element method allows the calculation of diffusion in complex spaces by discretizing the continuous computational domain. The diffusion equation is then solved as a series of differential equations in each discretized element of the domain.
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Emerging Technologies for the Seismic Assessment of Historical Churches: The Case of the Bell Tower of the Cathedral of Matera, Southern Italy
Numerical method for finding approximate solutions to partial differential equations. The original problem domain is subdivided into smaller and simpler parts, called finite elements, and variational techniques are used to minimize an associated error function.
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Performance of a Post-Byzantine Triple-Domed Basilica under Near and Far Fault Seismic Loads: Analysis and Intervention
A numerical technique applied to solve large and complicated problems in structural engineering and mechanics. It subdivides the domain (structure) into simpler parts and, as a rule, uses variational methods to solve the problem by minimizing an associated error function.
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