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Abstract deal. II is a state-of-the-art finite element library focused on generality, dimension-
independent programming, parallelism, and extensibility. Herein, we outline its primary …

Today's floating-point arithmetic landscape is broader than ever. While scientific computing
has traditionally used single precision and double precision floating-point arithmetics, half …

The efficient utilization of mixed-precision numerical linear algebra algorithms can offer
attractive acceleration to scientific computing applications. Especially with the hardware …

The development of NekRS, a GPU-oriented thermal-fluids simulation code based on the
spectral element method (SEM) is described. For performance portability, the code is based …

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 describe the research and development activities in the Center for Efficient
Exascale Discretization within the US Exascale Computing Project, targeting state-of-the-art …

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 …

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 …

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 …