Software¶
libCEED¶
libCEED provides fast algebra for element-based discretizations, designed for performance portability, run-time flexibility, and clean embedding in higher level libraries and applications. It offers a C99 interface as well as bindings for Fortran, Python, Julia , and Rust. While our focus is on high-order finite elements, the approach is mostly algebraic and thus applicable to other discretizations in factored form.
Ratel¶
Ratel provides solid mechanics solvers based on libCEED and PETSc. The library provides hyperelastic, plasticity, damage, and poroelasticity formulations, with static, quasistatic, and fully dynamic examples. Most examples use high order finite elements, but Ratel also provides Material Point Method (MPM) in a matrix free fashion many of the material models.
Solid mechanics example of beam deforming under twisting force.¶
HONEE¶
HONEE provides fluid dynamics solvers based on libCEED and PETSc. The library solves the compressible Navier-Stokes equations in three dimensions using explicit or implicit time integration.
Fluid dynamics example of vortices from falling cold air bubble.¶
LFAToolkit.jl¶
Local Fourier Analysis is a tool commonly used in the analysis of multigrid and multilevel algorithms for solving partial differential equations via finite element or finite difference methods. This analysis can be used to predict convergence rates and optimize parameters in multilevel methods and preconditioners. This package provides a toolkit for analyzing the performance of preconditioners for arbitrary, user provided weak forms of partial differential equations.
Local Fourier Analysis of p-multigrid for high-order finite element.¶