**BBFEM: Bernstein-Bézier Finite Elements**

BBFEM is a C++ software library available under the terms of the GNU General Public License.

BBFEM enables efficient computation of the elemental quantities (load vector, mass matrix,
stiffness matrix, convective matrix) associated with the finite elements based on Bernstein polynomial
shape functions. The library implements the algorithms of [1] for the H1 finite elements
on triangles and tetrahedra as well as H(curl) elements on triangles described in [3]. Since H(curl) is isomorphic
to H(div) in 2D, the H(curl) routines can also be used for computing H(div) elemental quantities [2].

[1] M. Ainsworth, G. Andriamaro, and O. Davydov. Bernstein-Bézier finite
elements of arbitrary order and optimal assembly procedures. SIAM J. Sci.
Comp., 33:3087-3109, 2011.

[2] M. Ainsworth, G. Andriamaro, and O. Davydov. A Bernstein-Bézier basis
for arbitrary order Raviart-Thomas finite elements, Constr. Approx., 41 (2015), 1-22.

[3] G. Andriamaro. Bernstein-Bézier Techniques and Optimal Algorithms
in Finite Element Analysis, PhD thesis, University of Strathclyde,
Department of Mathematics and Statistics, Glasgow, UK, 2013.

**Download:**

C++ code v.1.00 (gzipped tar archive)

README, including installation and usage notes

Change log

Homepage of Oleg Davydov