FEM in Three Dimensions

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31.0 $31.0
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)

The first task in developing three-dimensional (3d) finite element method (FEM) capability is to generate 3d meshes to describe the geometries. Fortunately, gmsh is well equipped to do this. There are many ways to generate a given geometry in three dimensions; this chapter discusses one such approach. The derivation of the coefficient matrix terms in three dimensions using tetrahedron elements and a four-point function is a direct extension of the derivations of the two-dimensional (2d) matrix terms. The chapter discusses parsing of the gmsh files, and setting of boundary conditions. The gmsh script struct16_4.geo, in the chapter, shows the construction of two cylinders and a surrounding sphere. The capacitance between the two cylinders, in an unbounded region, is approximated by setting the cylinder potentials to +0.5 and -0.5, setting the outer-sphere potential to 0, and increasing the sphere radius until the sphere no longer contributes to the capacitance.