Efficient exploitation of exascale architectures requires rethinking of the numerical
algorithms used in many large-scale applications. These architectures favor algorithms that …

In this paper we present a unified framework for constructing spectrally equivalent low-order-
refined discretizations for the high-order finite element de Rham complex. This theory covers …

In this paper, we design preconditioners for the matrix-free solution of high-order continuous
and discontinuous Galerkin discretizations of elliptic problems based on finite element …

In this paper, we propose and analyze an efficient preconditioning method for the elliptic
problem based on the reconstructed discontinuous approximation method. This method is …

The greater arithmetic intensity of high‐order finite element discretizations makes them
attractive for implementation on next‐generation hardware, but assembly of high‐order finite …

In this paper, we present a high-order finite element method based on a reconstructed
approximation to the biharmonic equation. In our construction, the space is reconstructed …

We examine a residual and matrix-free Jacobian formulation of compressible and nearly
incompressible (ν→ 0.5) displacement-only linear isotropic elasticity with high-order …

A low-order preconditioner for high-order element-wise divergence con- stant finite element
spaces Page 1 A low-order preconditioner for high-order element-wise divergence constant …