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.

Send bugs, patches, comments or suggestions on BBFEM to Gaelle Andriamaro

C++ code v.1.00 (gzipped tar archive)
README, including installation and usage notes
Change log

Homepage of Oleg Davydov