A short note on a Bernstein-Bezier basis for the pyramid

Abstract

We introduce a Bernstein-Bezier basis for the pyramid, whose restriction to the face reduces to the Bernstein-Bezier basis on the triangle or quadrilateral. The basis satisfies the standard positivity and partition of unity properties common to Bernstein polynomials, and spans the same space as non-polynomial pyramid bases in the literature.

Submitted

References in corpus (3)

• GPU-accelerated discontinuous Galerkin methods on hybrid meshes
• Efficient discontinuous Galerkin finite element methods via Bernstein polynomials
• Orthogonal bases for vertex-mapped pyramids

Cited by in corpus (1)

• GPU-accelerated Bernstein-Bezier discontinuous Galerkin methods for wave problems