Arbitrary order mixed finite elements for second order scalar elliptic problems

Robert C. Kirby. 31 October, 2002.
Communicated by Robert Kirby.


Mixed finite element methods give optimal order approximations to scalar elliptic PDE, and the solution gradient they generate satisfies a physical conservation relation over each triangle. However, the complexities of the approximating spaces have usually limited computations with mixed methods to very low order. In this report, we describe how certain ideas of nodal spectral elements can be used to evaluate the triangular Brezzi-Douglas-Marini approximating spaces of any order.

Original Document

The original document is available in Postscript (uploaded 31 October, 2002 by Robert Kirby).