Figure 5 represents the two-dimensional circular mesh diagram formed by the

triangular element for the FEM solution of the forward model.

After several

triangular elements [13, 14] with vertex rigid rotational freedom are proposed, the quadrilateral membrane elements including corner rotations have been developed by Allman [15] and MacNeal and Harder [16] as well.

ij] indictes the j-th edge of

triangular element [V.

So far, there exist

triangular elements of degree 2 [1], 3 [2, 3], 4 [4], and 5 [5] on the edges, as well as tetrahedral elements of degree 2 [4] and 3 [5].

For example, as for

triangular elements, the number of share-edged elements is no more than 2, but that of share-nodded elements may be more.

Consider a flat

triangular element with the corners defined by the coordinates {[x.

The finite elements of the 2D3D model have similar properties as the standard 2D

triangular elements in its cross-section.

The region is divided into a finite number of three node

triangular elements, in each of which the element equation is derived using Galerkin weighted residual method.

An improved

triangular element with drilling rotations.

n], we need a parameterization of each such

triangular element with respect to a standard reference triangle in the plane, namely the unit simplex

of Nevada Los Vegas) and Heinrich (engineering, U, of new Mexico) cover the method of weighted residuals and Galerkin approximations, the finite element methods in one dimension, the two- dimensional

triangular element, two-dimensional quadrilateral element, isoparametric two-dimensional elements, three-dimensional elements, finite elements in solid mechanics, and applications to convective transport and viscous fluid flow.

For the three node

triangular element, the integration is carried out in closed form rather than by numerical integration.

So the total displacement vector over the

triangular element is

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Figure 4 shows induction motor

triangular element mesh model.