A linear algebraic approach to representing and computing finite elements

Robert C. Kirby. 24 June, 2003.
Communicated by Robert Kirby.


We use standard ideas from numerical linear algebra plus orthogonal bases for polynomials to compute abstract finite elements. Nodal bases are expressed in terms of orthogonal ones. This approach allows us to differentiate polynomials, compute local bilinear forms, and use affine equivalent elements. It applies not only to Lagrangian elements but also to Hermite elements and elements in H(div) and H(curl).

Original Document

The original document is available in PDF (uploaded 24 June, 2003 by Robert Kirby).