Metal additive manufacturing is gaining immense research attention. Some of these
research efforts are associated with physics, statistical, or artificial intelligence-driven …

Computational micromagnetics has become an indispensable tool for the theoretical
investigation of magnetic structures. Classical micromagnetics has been successfully …

Harnessing modern parallel computing resources to achieve complex multiphysics
simulations is a daunting task. The Multiphysics Object Oriented Simulation Environment …

We develop a method for generating degree-of-freedom maps for arbitrary order Ciarlet-type
finite element spaces for any cell shape. The approach is based on the composition of …

The finite element method (FEM)(Ciarlet, 1978) is a widely used numerical method for
approximating the solution of partial differential equations (PDEs). Solving a problem using …

Numerical simulations are ubiquitous in mathematics and computational science. Several
industrial and clinical applications entail modeling complex multiphysics systems that evolve …

In recent years, the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers
(SUNDIALS) has been redesigned to better enable the use of application-specific and third …

We present the latest developments of our High-Order Spectral Element Solver (Image 1),
an open source high-order discontinuous Galerkin framework, capable of solving a variety of …

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

In this article, we present Ginkgo, a modern C++ math library for scientific high performance
computing. While classical linear algebra libraries act on matrix and vector objects, Ginkgo's …