Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia

FLEXI: A high order discontinuous Galerkin framework for hyperbolic–parabolic conservation laws

ExaDG - High-Order Discontinuous Galerkin for the Exa-Scale

A Julia library of summation-by-parts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.

Adaptive computational fluid dynamics

Discontinuous Galerkin finite element method (DGFEM) for Acoustic Wave Propagation

Discontinuous Galerkin solver for compressible flows

Adaptive multiresolution discontinuous Galerkin C++ package

The main project for the MATLAB / GNU Octave code of FESTUNG

Extreme-scale Discontinuous Galerkin Environment (EDGE)

Numerical methods for edge and scrape-off layer blob and turbulence simulations. Homepage:

BoSSS is a flexible framework for the development, evaluation & application of numerical discretization schemes based on the Discontinuous Galerkin method

High-order unstructured mesh representation and discrete function spaces

Spectral-element solver for Maxwell's equations, drift-diffusion equations, and more.

Codes for finite element method

flux reconstruction method for advection-diffusion type physics

Finite Element Method for Electrochemical Transport (EchemFEM)

Discontinuous Galerkin FEM Runge-Kutta solver for hyperbolic systems of equations, in particular for shallow water equations.

Two dimensional high-order spectral element method fluid dynamics solver (this code is no longer maintained!)

ODE system solver using dG(q), time-discontinuous Galerkin with Lobatto basis.