Introduction

Nektar++ [6] is a tensor product based finite element package designed to allow one to construct efficient classical low polynomial order h-type solvers (where h is the size of the finite element) as well as higher p-order piecewise polynomial order solvers. The framework currently has the following capabilities:

• Representation of one, two and three-dimensional fields as a collection of piecewise continuous or discontinuous polynomial domains.
• Segment, plane and volume domains are permissible, as well as domains representing curves and surfaces (dimensionally-embedded domains).
• Hybrid shaped elements, i.e triangles and quadrilaterals or tetrahedra, prisms and hexahedra.
• Both hierarchical and nodal expansion bases.
• Continuous or discontinuous Galerkin operators.
• Cross platform support for Linux, Mac OS X and Windows.

The framework comes with a number of solvers and also allows one to construct a variety of new solvers.

Our current goals are to develop:

• Automatic auto-tuning of optimal operator implementations based upon not only h and p but also hardware considerations and mesh connectivity.
• Temporal and spatial adaption.
• Features enabling evaluation of high-order meshing techniques.

For further information and to download the software, visit the Nektar++ website at http://www.nektar.info.