We present an algorithmic framework for matrix-free evaluation of discontinuous Galerkin
finite element operators. It relies on fast quadrature with sum factorization on quadrilateral …

This article presents matrix-free finite-element techniques for efficiently solving partial
differential equations on modern many-core processors, such as graphics cards. We …

This article is devoted to graphics processing unit (GPU) kernel optimization and
performance analysis of three tensor-product operations arising in finite element methods …

We present a time-explicit discontinuous Galerkin (DG) solver for the time-domain acoustic
wave equation on hybrid meshes containing vertex-mapped hexahedral, wedge, pyramidal …

We present hipBone, an open-source performance-portable proxy application for the
Nek5000 (and NekRS) computational fluid dynamics applications. HipBone is a fully GPU …

Modern high‐performance computing systems allow us to explore and implement new
technologies and mathematical modeling algorithms into industrial software systems of …

The present work develops hybrid multigrid methods for high-order discontinuous Galerkin
discretizations of elliptic problems, which are, for example, a key ingredient of …

We present a Graphics Processing Unit (GPU)-accelerated nodal discontinuous Galerkin
method for the solution of the three-dimensional Euler equations that govern the motion and …

Pavarino proved that the additive Schwarz method with vertex patches and a low-order
coarse space gives a $ p $-robust solver for symmetric and coercive problems. However, for …

Because seismic waves have a limited frequency spectrum, the velocity structure of the
Earth that can be extracted from seismic records has a limited resolution. As a consequence …