High order (HO) schemes are attractive candidates for the numerical solution of multiscale
problems occurring in fluid dynamics and related disciplines. Among the HO discretization …

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 …

We propose a matrix–free solver for the numerical solution of the cardiac electrophysiology
model consisting of the monodomain nonlinear reaction–diffusion equation coupled with a …

This text presents contributions to efficient high-order finite element solvers in the context of
the project ExaDG, part of the DFG priority program 1648 Software for Exascale Computing …

A scheme for the solution of fluid–structure interaction (FSI) problems with weakly
compressible flows is proposed in this work. A novel hybridizable discontinuous Galerkin …

This work presents GALÆXI as a novel, energy-efficient flow solver for the simulation of
compressible flows on unstructured hexahedral meshes leveraging the parallel computing …

Matrix-free solvers for finite element method (FEM) avoid assembly of elemental matrices
and replace sparse matrix-vector multiplication required in iterative solution method by an …

We present a matrix-free flow solver for high-order finite element discretizations of the
incompressible Navier-Stokes and Stokes equations with GPU acceleration. For high …

In this paper, we use an implicit two-derivative deferred correction time discretization
approach and combine it with a spatial discretization of the discontinuous Galerkin spectral …