Article

A Geometrical Approach of 3-D FEA for Educational Purposes Applied to Electrostatic Fields

Univ. de Sao Paulo, Sao Paulo
IEEE Transactions on Magnetics (impact factor: 1.36). 07/2008; DOI:10.1109/TMAG.2007.916164 pp.1674 - 1677
Source: IEEE Xplore

ABSTRACT A geometrical approach of the finite-element analysis applied to electrostatic fields is presented. This approach is particularly well adapted to teaching Finite Elements in Electrical Engineering courses at undergraduate level. The procedure leads to the same system of algebraic equations as that derived by classical approaches, such as variational principle or weighted residuals for nodal elements with plane symmetry. It is shown that the extension of the original procedure to three dimensions is straightforward, provided the domain be meshed in first-order tetrahedral elements. The element matrices are derived by applying Maxwell's equations in integral form to suitably chosen surfaces in the finite-element mesh.

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Keywords

applying Maxwell's equations
 
classical approaches
 
dimensions
 
Electrical Engineering courses
 
electrostatic fields
 
element matrices
 
Finite Elements
 
finite-element analysis
 
finite-element mesh
 
first-order tetrahedral elements
 
geometrical approach
 
nodal elements
 
original procedure
 
plane symmetry
 
undergraduate level
 
weighted residuals
 

L.N. Rossi