FEM_BASIS.TEX - The Finite Element Basis for Simplices in Arbitrary Dimension

FEM_BASIS is an informal technical report which describes a procedure for defining and evaluating a finite element basis for simplices. The polynomial degree of the basis set and the spatial dimension of the simplex are both arbitrary.

A PDF version is available as ../../presentations/fem_basis.pdf

Files you may copy include:

• fem_basis.tex the Latex source
• triangle_reference2.png, the reference triangle, with the coordinate lines associated with a fifth order polynomial basis.
• triangle_reference3.png shows a node in the reference triangle, and, in red, the five coordinate lines which will each supply a linear factor resulting in a fifth-degree polynomial which will be zero at every node except the indicated one.

You can go up one level to the LATEX home page.